Page 1
30/1 1 [P.T.O.
Roll No.
????
MATHEMATICS
3 80
Time allowed : 3 hours Maximum Marks : 80
Series : TYM
Code No.
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ???? 11 ?? ?
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ?
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ?
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ?
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ??
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ?
? Please check that this question paper contains 11 printed pages.
? Code number given on the right hand side of the question paper should be written on
the title page of the answer-book by the candidate.
? Please check that this question paper contains 30 questions.
? Please write down the Serial Number of the question before attempting it.
? 15 minute time has been allotted to read this question paper. The question paper will
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
??????? ???? ??? ???-??????? ?? ???-????
?? ???? ???? ?
Candidates must write the Code on
the title page of the answer-book.
SET – 1
Page 2
30/1 1 [P.T.O.
Roll No.
????
MATHEMATICS
3 80
Time allowed : 3 hours Maximum Marks : 80
Series : TYM
Code No.
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ???? 11 ?? ?
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ?
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ?
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ?
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ??
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ?
? Please check that this question paper contains 11 printed pages.
? Code number given on the right hand side of the question paper should be written on
the title page of the answer-book by the candidate.
? Please check that this question paper contains 30 questions.
? Please write down the Serial Number of the question before attempting it.
? 15 minute time has been allotted to read this question paper. The question paper will
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
??????? ???? ??? ???-??????? ?? ???-????
?? ???? ???? ?
Candidates must write the Code on
the title page of the answer-book.
SET – 1
30/1 2
?????? ????? :
(i) ??? ??? ??????? ?? ?
(ii) ?? ???-?? ?? 30 ??? ?? ??? ??? ????? – ?, ?, ? ???? ? ?? ??????? ?? ?
(iii) ??? ? ?? ??-?? ??? ???? 6 ??? ?? ? ??? ? ?? 6 ??? ?? ????? ?? ????? 2 ??? ?? ?? ?
??? ? ?? 10 ??? ???-??? ????? ?? ?? ? ??? ? ?? 8 ??? ?? ????? ?? ????? 4 ??? ?? ?? ?
(iv) ???-?? ?? ????? ??? ????? ??? ?? ? ????? 3 ????? ???? 4 ????? ?? ???? 4 ????? ???? 3 ????? ??
??????? ????? ???? ??? ?? ?? ? ???? ????? ?? ?????? ??? ?? ??????? ?? ?? ???? ?? ??? ??
???? ?? ?
(v) ????????? ?? ????? ?? ?????? ??? ?? ?
General Instructions :
(i) All questions are compulsory.
(ii) This question paper consists of 30 questions divided into four sections – A, B, C
and D.
(iii) Section A contains 6 questions of 1 mark each. Section B contains 6 questions of
2 marks each, Section C contains 10 questions of 3 marks each. Section D contains
8 questions of 4 marks each.
(iv) There is no overall choice. However, an internal choice has been provided in four
questions of 3 marks each and 3 questions of 4 marks each. You have to attempt only
one of the alternatives in all such questions.
(v) Use of calculator is not permitted.
??? – ?
SECTION – A
??? ????? 1 ?? 6 ?? ????? ??? 1 ??? ?? ?? ?
Question numbers 1 to 6 carry 1 mark each.
1. ??? x = 3, ??????? ?????? x
2
– 2kx – 6 = 0 ?? ?? ??? ??, ??? k ?? ??? ??? ????? ?
If x = 3 is one root of the quadratic equation x
2
– 2kx – 6 = 0, then find the value of k.
Page 3
30/1 1 [P.T.O.
Roll No.
????
MATHEMATICS
3 80
Time allowed : 3 hours Maximum Marks : 80
Series : TYM
Code No.
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ???? 11 ?? ?
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ?
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ?
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ?
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ??
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ?
? Please check that this question paper contains 11 printed pages.
? Code number given on the right hand side of the question paper should be written on
the title page of the answer-book by the candidate.
? Please check that this question paper contains 30 questions.
? Please write down the Serial Number of the question before attempting it.
? 15 minute time has been allotted to read this question paper. The question paper will
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
??????? ???? ??? ???-??????? ?? ???-????
?? ???? ???? ?
Candidates must write the Code on
the title page of the answer-book.
SET – 1
30/1 2
?????? ????? :
(i) ??? ??? ??????? ?? ?
(ii) ?? ???-?? ?? 30 ??? ?? ??? ??? ????? – ?, ?, ? ???? ? ?? ??????? ?? ?
(iii) ??? ? ?? ??-?? ??? ???? 6 ??? ?? ? ??? ? ?? 6 ??? ?? ????? ?? ????? 2 ??? ?? ?? ?
??? ? ?? 10 ??? ???-??? ????? ?? ?? ? ??? ? ?? 8 ??? ?? ????? ?? ????? 4 ??? ?? ?? ?
(iv) ???-?? ?? ????? ??? ????? ??? ?? ? ????? 3 ????? ???? 4 ????? ?? ???? 4 ????? ???? 3 ????? ??
??????? ????? ???? ??? ?? ?? ? ???? ????? ?? ?????? ??? ?? ??????? ?? ?? ???? ?? ??? ??
???? ?? ?
(v) ????????? ?? ????? ?? ?????? ??? ?? ?
General Instructions :
(i) All questions are compulsory.
(ii) This question paper consists of 30 questions divided into four sections – A, B, C
and D.
(iii) Section A contains 6 questions of 1 mark each. Section B contains 6 questions of
2 marks each, Section C contains 10 questions of 3 marks each. Section D contains
8 questions of 4 marks each.
(iv) There is no overall choice. However, an internal choice has been provided in four
questions of 3 marks each and 3 questions of 4 marks each. You have to attempt only
one of the alternatives in all such questions.
(v) Use of calculator is not permitted.
??? – ?
SECTION – A
??? ????? 1 ?? 6 ?? ????? ??? 1 ??? ?? ?? ?
Question numbers 1 to 6 carry 1 mark each.
1. ??? x = 3, ??????? ?????? x
2
– 2kx – 6 = 0 ?? ?? ??? ??, ??? k ?? ??? ??? ????? ?
If x = 3 is one root of the quadratic equation x
2
– 2kx – 6 = 0, then find the value of k.
30/1 3 [P.T.O.
2. ????? ?? ????? ????? ????? ??? ????? ?? ????? ???? ????? ?? ?.?. (HCF) ??? ?? ?
What is the HCF of smallest prime number and the smallest composite number ?
3. ?? ????? P(x, y) ?? ??? ????? ?? ???? ??? ????? ?
Find the distance of a point P(x, y) from the origin.
4. ??? ?? ?????? ???? ?? ????-???? (d) = – 4 ??? ?????? ?? (a
7
) = 4 ??, ??? ???? ?? ??? ?? ???
????? ?
In an AP, if the common difference (d) = –4, and the seventh term (a
7
) is 4, then find the
first term.
5. (cos
2
67° – sin
2
23°) ?? ??? ??? ?? ?
What is the value of (cos
2
67° – sin
2
23°) ?
6. ???? ?? ?? ? ABC ~ ? PQR ??, ???
AB
PQ
=
1
3
??, ???
????? ? ?ABC
????? ? ?PQR
??? ????? ?
Given ? ABC ~ ? PQR, if
AB
PQ
=
1
3
, then find
ar ? ?ABC
ar ? ?PQR
.
??? – ?
SECTION – B
??? ????? 7 ?? 12 ?? ????? ??? 2 ??? ?? ?? ?
Question numbers 7 to 12 carry 2 marks each.
7. ???? ?? ?? 2 ??????? ????? ??, ??? ??? ????? ?? (5 + 3 2) ?? ??????? ????? ?? ?
Given that 2 is irrational, prove that (5 + 3 2) is an irrational number.
Page 4
30/1 1 [P.T.O.
Roll No.
????
MATHEMATICS
3 80
Time allowed : 3 hours Maximum Marks : 80
Series : TYM
Code No.
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ???? 11 ?? ?
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ?
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ?
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ?
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ??
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ?
? Please check that this question paper contains 11 printed pages.
? Code number given on the right hand side of the question paper should be written on
the title page of the answer-book by the candidate.
? Please check that this question paper contains 30 questions.
? Please write down the Serial Number of the question before attempting it.
? 15 minute time has been allotted to read this question paper. The question paper will
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
??????? ???? ??? ???-??????? ?? ???-????
?? ???? ???? ?
Candidates must write the Code on
the title page of the answer-book.
SET – 1
30/1 2
?????? ????? :
(i) ??? ??? ??????? ?? ?
(ii) ?? ???-?? ?? 30 ??? ?? ??? ??? ????? – ?, ?, ? ???? ? ?? ??????? ?? ?
(iii) ??? ? ?? ??-?? ??? ???? 6 ??? ?? ? ??? ? ?? 6 ??? ?? ????? ?? ????? 2 ??? ?? ?? ?
??? ? ?? 10 ??? ???-??? ????? ?? ?? ? ??? ? ?? 8 ??? ?? ????? ?? ????? 4 ??? ?? ?? ?
(iv) ???-?? ?? ????? ??? ????? ??? ?? ? ????? 3 ????? ???? 4 ????? ?? ???? 4 ????? ???? 3 ????? ??
??????? ????? ???? ??? ?? ?? ? ???? ????? ?? ?????? ??? ?? ??????? ?? ?? ???? ?? ??? ??
???? ?? ?
(v) ????????? ?? ????? ?? ?????? ??? ?? ?
General Instructions :
(i) All questions are compulsory.
(ii) This question paper consists of 30 questions divided into four sections – A, B, C
and D.
(iii) Section A contains 6 questions of 1 mark each. Section B contains 6 questions of
2 marks each, Section C contains 10 questions of 3 marks each. Section D contains
8 questions of 4 marks each.
(iv) There is no overall choice. However, an internal choice has been provided in four
questions of 3 marks each and 3 questions of 4 marks each. You have to attempt only
one of the alternatives in all such questions.
(v) Use of calculator is not permitted.
??? – ?
SECTION – A
??? ????? 1 ?? 6 ?? ????? ??? 1 ??? ?? ?? ?
Question numbers 1 to 6 carry 1 mark each.
1. ??? x = 3, ??????? ?????? x
2
– 2kx – 6 = 0 ?? ?? ??? ??, ??? k ?? ??? ??? ????? ?
If x = 3 is one root of the quadratic equation x
2
– 2kx – 6 = 0, then find the value of k.
30/1 3 [P.T.O.
2. ????? ?? ????? ????? ????? ??? ????? ?? ????? ???? ????? ?? ?.?. (HCF) ??? ?? ?
What is the HCF of smallest prime number and the smallest composite number ?
3. ?? ????? P(x, y) ?? ??? ????? ?? ???? ??? ????? ?
Find the distance of a point P(x, y) from the origin.
4. ??? ?? ?????? ???? ?? ????-???? (d) = – 4 ??? ?????? ?? (a
7
) = 4 ??, ??? ???? ?? ??? ?? ???
????? ?
In an AP, if the common difference (d) = –4, and the seventh term (a
7
) is 4, then find the
first term.
5. (cos
2
67° – sin
2
23°) ?? ??? ??? ?? ?
What is the value of (cos
2
67° – sin
2
23°) ?
6. ???? ?? ?? ? ABC ~ ? PQR ??, ???
AB
PQ
=
1
3
??, ???
????? ? ?ABC
????? ? ?PQR
??? ????? ?
Given ? ABC ~ ? PQR, if
AB
PQ
=
1
3
, then find
ar ? ?ABC
ar ? ?PQR
.
??? – ?
SECTION – B
??? ????? 7 ?? 12 ?? ????? ??? 2 ??? ?? ?? ?
Question numbers 7 to 12 carry 2 marks each.
7. ???? ?? ?? 2 ??????? ????? ??, ??? ??? ????? ?? (5 + 3 2) ?? ??????? ????? ?? ?
Given that 2 is irrational, prove that (5 + 3 2) is an irrational number.
30/1 4
8. ??????-1 ??, ABCD ?? ???? ?? ? x ??? y ?? ??? ??? ????? ?
?????? - 1
In Fig. 1, ABCD is a rectangle. Find the values of x and y.
Fig. – 1
9. 3 ?? ??? 8 ?????? ?? ???? ??? ????? ?
Find the sum of first 8 multiples of 3.
10. ?? ?????? ??? ????? ????? ????? P(4, m), ???????? A(2, 3) ??? B(6, –3) ??? ?????? ????
??????? ??? ??????? ???? ?? ? ??? m ?? ??? ??? ????? ?
Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and
B(6, –3). Hence find m.
11. ??? ?????? ????? ??? ?? ??? ????? ??? ? ???? ?? ???? ?? ??????? ??? ????? ?
(i) ?? ??? ???? ?
(ii) ?????? ????? ?? ???? ???????? ?? ???? 10 ???? ?
Two different dice are tossed together. Find the probability :
(i) of getting a doublet
(ii) of getting a sum 10, of the numbers on the two dice.
Page 5
30/1 1 [P.T.O.
Roll No.
????
MATHEMATICS
3 80
Time allowed : 3 hours Maximum Marks : 80
Series : TYM
Code No.
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ???? 11 ?? ?
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ?
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ?
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ?
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ??
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ?
? Please check that this question paper contains 11 printed pages.
? Code number given on the right hand side of the question paper should be written on
the title page of the answer-book by the candidate.
? Please check that this question paper contains 30 questions.
? Please write down the Serial Number of the question before attempting it.
? 15 minute time has been allotted to read this question paper. The question paper will
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
??????? ???? ??? ???-??????? ?? ???-????
?? ???? ???? ?
Candidates must write the Code on
the title page of the answer-book.
SET – 1
30/1 2
?????? ????? :
(i) ??? ??? ??????? ?? ?
(ii) ?? ???-?? ?? 30 ??? ?? ??? ??? ????? – ?, ?, ? ???? ? ?? ??????? ?? ?
(iii) ??? ? ?? ??-?? ??? ???? 6 ??? ?? ? ??? ? ?? 6 ??? ?? ????? ?? ????? 2 ??? ?? ?? ?
??? ? ?? 10 ??? ???-??? ????? ?? ?? ? ??? ? ?? 8 ??? ?? ????? ?? ????? 4 ??? ?? ?? ?
(iv) ???-?? ?? ????? ??? ????? ??? ?? ? ????? 3 ????? ???? 4 ????? ?? ???? 4 ????? ???? 3 ????? ??
??????? ????? ???? ??? ?? ?? ? ???? ????? ?? ?????? ??? ?? ??????? ?? ?? ???? ?? ??? ??
???? ?? ?
(v) ????????? ?? ????? ?? ?????? ??? ?? ?
General Instructions :
(i) All questions are compulsory.
(ii) This question paper consists of 30 questions divided into four sections – A, B, C
and D.
(iii) Section A contains 6 questions of 1 mark each. Section B contains 6 questions of
2 marks each, Section C contains 10 questions of 3 marks each. Section D contains
8 questions of 4 marks each.
(iv) There is no overall choice. However, an internal choice has been provided in four
questions of 3 marks each and 3 questions of 4 marks each. You have to attempt only
one of the alternatives in all such questions.
(v) Use of calculator is not permitted.
??? – ?
SECTION – A
??? ????? 1 ?? 6 ?? ????? ??? 1 ??? ?? ?? ?
Question numbers 1 to 6 carry 1 mark each.
1. ??? x = 3, ??????? ?????? x
2
– 2kx – 6 = 0 ?? ?? ??? ??, ??? k ?? ??? ??? ????? ?
If x = 3 is one root of the quadratic equation x
2
– 2kx – 6 = 0, then find the value of k.
30/1 3 [P.T.O.
2. ????? ?? ????? ????? ????? ??? ????? ?? ????? ???? ????? ?? ?.?. (HCF) ??? ?? ?
What is the HCF of smallest prime number and the smallest composite number ?
3. ?? ????? P(x, y) ?? ??? ????? ?? ???? ??? ????? ?
Find the distance of a point P(x, y) from the origin.
4. ??? ?? ?????? ???? ?? ????-???? (d) = – 4 ??? ?????? ?? (a
7
) = 4 ??, ??? ???? ?? ??? ?? ???
????? ?
In an AP, if the common difference (d) = –4, and the seventh term (a
7
) is 4, then find the
first term.
5. (cos
2
67° – sin
2
23°) ?? ??? ??? ?? ?
What is the value of (cos
2
67° – sin
2
23°) ?
6. ???? ?? ?? ? ABC ~ ? PQR ??, ???
AB
PQ
=
1
3
??, ???
????? ? ?ABC
????? ? ?PQR
??? ????? ?
Given ? ABC ~ ? PQR, if
AB
PQ
=
1
3
, then find
ar ? ?ABC
ar ? ?PQR
.
??? – ?
SECTION – B
??? ????? 7 ?? 12 ?? ????? ??? 2 ??? ?? ?? ?
Question numbers 7 to 12 carry 2 marks each.
7. ???? ?? ?? 2 ??????? ????? ??, ??? ??? ????? ?? (5 + 3 2) ?? ??????? ????? ?? ?
Given that 2 is irrational, prove that (5 + 3 2) is an irrational number.
30/1 4
8. ??????-1 ??, ABCD ?? ???? ?? ? x ??? y ?? ??? ??? ????? ?
?????? - 1
In Fig. 1, ABCD is a rectangle. Find the values of x and y.
Fig. – 1
9. 3 ?? ??? 8 ?????? ?? ???? ??? ????? ?
Find the sum of first 8 multiples of 3.
10. ?? ?????? ??? ????? ????? ????? P(4, m), ???????? A(2, 3) ??? B(6, –3) ??? ?????? ????
??????? ??? ??????? ???? ?? ? ??? m ?? ??? ??? ????? ?
Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and
B(6, –3). Hence find m.
11. ??? ?????? ????? ??? ?? ??? ????? ??? ? ???? ?? ???? ?? ??????? ??? ????? ?
(i) ?? ??? ???? ?
(ii) ?????? ????? ?? ???? ???????? ?? ???? 10 ???? ?
Two different dice are tossed together. Find the probability :
(i) of getting a doublet
(ii) of getting a sum 10, of the numbers on the two dice.
30/1 5 [P.T.O.
12. 1 ???? 100 ?? ??? ?? ???????? ?? ?? ??????? ?? ????? ???? ??? ? ??????? ??? ????? ?? ??
?????
(i) 8 ?? ???? ?? ?
(ii) 8 ?? ???? ??? ?? ?
An integer is chosen at random between 1 and 100. Find the probability that it is :
(i) divisible by 8.
(ii) not divisible by 8.
??? – ?
SECTION – C
??? ????? 13 ?? 22 ?? ????? ??? 3 ??? ?? ?? ?
Question numbers 13 to 22 carry 3 marks each.
13. 404 ??? 96 ?? ?.?. (HCF) ??? ?.?. (LCM) ??? ????? ??? ???? ?? ?????? ????? ?
HCF ? LCM = ?????? ?? ??? ???????? ?? ??????
Find HCF and LCM of 404 and 96 and verify that HCF ? LCM = Product of the two
given numbers.
14. ??? ???? (2x
4
– 9x
3
+ 5x
2
+ 3x – 1) ?? ??? ????? (2 + 3) ??? (2 – 3) ?? ??? ???? ???
????? ??? ????? ?
Find all zeroes of the polynomial (2x
4
– 9x
3
+ 5x
2
+ 3x – 1) if two of its zeroes are
(2 + 3) and (2 – 3).
15. ??? A(–2, 1), B(a, 0), C(4, b) ??? D(1, 2) ?? ?????? ??????? ABCD ?? ???? ????? ??, ??? a ???
b ?? ??? ??? ????? ? ??? ?? ??????? ?? ??????? ?? ???????? ??? ????? ?
????
??? A(–5, 7), B(– 4, –5), C(–1, – 6) ??? D(4, 5) ?? ??????? ABCD ?? ???? ????? ??, ??? ???????
ABCD ?? ????? ??? ????? ?
If A(–2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD, find
the values of a and b. Hence find the lengths of its sides.
OR
If A(–5, 7), B(–4, –5), C(–1, –6) and D(4, 5) are the vertices of a quadrilateral, find the
area of the quadrilateral ABCD.
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