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Page 1 .430/3/3 1 P.T.O. narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð >na Adí` {bIo§ & Candidates must write the Q.P. Code on the title page of the answer-book. Series PPQQB/3 SET ~3 àíZ-nÌ H$moS> Q.P. Code amob Z§. Roll No. NOTE (I) 11 (I) Please check that this question paper contains 11 printed pages. (II) (II) Q.P. Code given on the right hand side of the question paper should be written on the title page of the answer-book by the candidate. (III) 14 (III) Please check that this question paper contains 14 questions. (IV) (IV) Please write down the serial number of the question in the answer-book before attempting it. (V) 15 10.15 10.15 10.30 (V) 15 minute time has been allotted to read this question paper. The question paper will be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the question paper only and will not write any answer on the answer-book during this period. J{UV (~w{Z`mXr) MATHEMATICS (BASIC) : 2 : 40 Time allowed : 2 hours Maximum Marks : 40 430/3/3 Page 2 .430/3/3 1 P.T.O. narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð >na Adí` {bIo§ & Candidates must write the Q.P. Code on the title page of the answer-book. Series PPQQB/3 SET ~3 àíZ-nÌ H$moS> Q.P. Code amob Z§. Roll No. NOTE (I) 11 (I) Please check that this question paper contains 11 printed pages. (II) (II) Q.P. Code given on the right hand side of the question paper should be written on the title page of the answer-book by the candidate. (III) 14 (III) Please check that this question paper contains 14 questions. (IV) (IV) Please write down the serial number of the question in the answer-book before attempting it. (V) 15 10.15 10.15 10.30 (V) 15 minute time has been allotted to read this question paper. The question paper will be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the question paper only and will not write any answer on the answer-book during this period. J{UV (~w{Z`mXr) MATHEMATICS (BASIC) : 2 : 40 Time allowed : 2 hours Maximum Marks : 40 430/3/3 .430/3/3 2 : : (i) 14 (ii) (iii) 6 1 6 2 (iv) 4 7 10 3 (v) 4 11 14 4 (vi) IÊS>> H$ 1 6 2 1. {ZåZ{b{IV ~ma§~maVm ~§Q>Z Ho$ {bE ~hþbH$ kmV H$s{OE : 2 100 110 110 120 120 130 130 140 140 150 5 9 8 11 7 2. 24 VWm 11dm± nX 21 8dm± nX kmV H$s{OE & 2 3. AmH¥${V 1 _|, PA VWm PB Ho$ÝÐ O dmbo d¥Îm na ItMr JB© ñne©-aoImE± h¢ & `{X APB = 70 h¡, Vmo AQB H$s _mn kmV H$s{OE & 2 1 4. (H$) p Ho$ {H$g _mZ Ho$ {bE {ÛKmV g_rH$aU px 2 + 2x + p = 0 Ho$ _yb dmñV{dH$ VWm ~am~a hm|Jo ? 2 AWdm (I) {ÛKmV g_rH$aU 6 x x 2 = 0 H$mo x Ho$ {bE hb H$s{OE & 2 5. 6 h¡ & BgHo$ àW_ Xg nXm| H$m `moJ\$b, àW_ nm±M nXm| Ho$ `moJ\ 2 70 Page 3 .430/3/3 1 P.T.O. narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð >na Adí` {bIo§ & Candidates must write the Q.P. Code on the title page of the answer-book. Series PPQQB/3 SET ~3 àíZ-nÌ H$moS> Q.P. Code amob Z§. Roll No. NOTE (I) 11 (I) Please check that this question paper contains 11 printed pages. (II) (II) Q.P. Code given on the right hand side of the question paper should be written on the title page of the answer-book by the candidate. (III) 14 (III) Please check that this question paper contains 14 questions. (IV) (IV) Please write down the serial number of the question in the answer-book before attempting it. (V) 15 10.15 10.15 10.30 (V) 15 minute time has been allotted to read this question paper. The question paper will be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the question paper only and will not write any answer on the answer-book during this period. J{UV (~w{Z`mXr) MATHEMATICS (BASIC) : 2 : 40 Time allowed : 2 hours Maximum Marks : 40 430/3/3 .430/3/3 2 : : (i) 14 (ii) (iii) 6 1 6 2 (iv) 4 7 10 3 (v) 4 11 14 4 (vi) IÊS>> H$ 1 6 2 1. {ZåZ{b{IV ~ma§~maVm ~§Q>Z Ho$ {bE ~hþbH$ kmV H$s{OE : 2 100 110 110 120 120 130 130 140 140 150 5 9 8 11 7 2. 24 VWm 11dm± nX 21 8dm± nX kmV H$s{OE & 2 3. AmH¥${V 1 _|, PA VWm PB Ho$ÝÐ O dmbo d¥Îm na ItMr JB© ñne©-aoImE± h¢ & `{X APB = 70 h¡, Vmo AQB H$s _mn kmV H$s{OE & 2 1 4. (H$) p Ho$ {H$g _mZ Ho$ {bE {ÛKmV g_rH$aU px 2 + 2x + p = 0 Ho$ _yb dmñV{dH$ VWm ~am~a hm|Jo ? 2 AWdm (I) {ÛKmV g_rH$aU 6 x x 2 = 0 H$mo x Ho$ {bE hb H$s{OE & 2 5. 6 h¡ & BgHo$ àW_ Xg nXm| H$m `moJ\$b, àW_ nm±M nXm| Ho$ `moJ\ 2 70 .430/3/3 3 P.T.O. General Instructions : Read the following instructions very carefully and strictly follow them : (i) This question paper contains 14 questions. All questions are compulsory. (ii) This question paper is divided into three sections Sections A, B and C. (iii) Section A comprises of 6 questions (Q.no. 1 to 6) of 2 marks each. Internal choice has been provided in two questions. (iv) Section B comprises of 4 questions (Q.no. 7 to 10) of 3 marks each. Internal choice has been provided in one question. (v) Section C comprises of 4 questions (Q.no. 11 to 14) of 4 marks each. Internal choice has been provided in one question. It also contains two case study based questions. (vi) Use of calculator is not permitted. SECTION A Question numbers 1 to 6 carry 2 marks each. 1. Find mode of the following frequency distribution : 2 Class 100 110 110 120 120 130 130 140 140 150 Frequency 5 9 8 11 7 2. Find the 8 th term of an AP whose first term is 24 and 11 th term is 21. 2 3. In Figure 1, PA and PB are tangents to the circle with centre at O. If APB = 70 , then find m AQB. 2 Figure 1 4. (a) For what value of p, does the quadratic equation px 2 + 2x + p = 0 have real and equal roots ? 2 OR (b) Solve the quadratic equation for x : 6 x x 2 = 0 2 5. For an AP with common difference 6, the sum of first ten terms is same as four times the sum of first five terms. Determine the first term of the AP. 2 70 Page 4 .430/3/3 1 P.T.O. narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð >na Adí` {bIo§ & Candidates must write the Q.P. Code on the title page of the answer-book. Series PPQQB/3 SET ~3 àíZ-nÌ H$moS> Q.P. Code amob Z§. Roll No. NOTE (I) 11 (I) Please check that this question paper contains 11 printed pages. (II) (II) Q.P. Code given on the right hand side of the question paper should be written on the title page of the answer-book by the candidate. (III) 14 (III) Please check that this question paper contains 14 questions. (IV) (IV) Please write down the serial number of the question in the answer-book before attempting it. (V) 15 10.15 10.15 10.30 (V) 15 minute time has been allotted to read this question paper. The question paper will be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the question paper only and will not write any answer on the answer-book during this period. J{UV (~w{Z`mXr) MATHEMATICS (BASIC) : 2 : 40 Time allowed : 2 hours Maximum Marks : 40 430/3/3 .430/3/3 2 : : (i) 14 (ii) (iii) 6 1 6 2 (iv) 4 7 10 3 (v) 4 11 14 4 (vi) IÊS>> H$ 1 6 2 1. {ZåZ{b{IV ~ma§~maVm ~§Q>Z Ho$ {bE ~hþbH$ kmV H$s{OE : 2 100 110 110 120 120 130 130 140 140 150 5 9 8 11 7 2. 24 VWm 11dm± nX 21 8dm± nX kmV H$s{OE & 2 3. AmH¥${V 1 _|, PA VWm PB Ho$ÝÐ O dmbo d¥Îm na ItMr JB© ñne©-aoImE± h¢ & `{X APB = 70 h¡, Vmo AQB H$s _mn kmV H$s{OE & 2 1 4. (H$) p Ho$ {H$g _mZ Ho$ {bE {ÛKmV g_rH$aU px 2 + 2x + p = 0 Ho$ _yb dmñV{dH$ VWm ~am~a hm|Jo ? 2 AWdm (I) {ÛKmV g_rH$aU 6 x x 2 = 0 H$mo x Ho$ {bE hb H$s{OE & 2 5. 6 h¡ & BgHo$ àW_ Xg nXm| H$m `moJ\$b, àW_ nm±M nXm| Ho$ `moJ\ 2 70 .430/3/3 3 P.T.O. General Instructions : Read the following instructions very carefully and strictly follow them : (i) This question paper contains 14 questions. All questions are compulsory. (ii) This question paper is divided into three sections Sections A, B and C. (iii) Section A comprises of 6 questions (Q.no. 1 to 6) of 2 marks each. Internal choice has been provided in two questions. (iv) Section B comprises of 4 questions (Q.no. 7 to 10) of 3 marks each. Internal choice has been provided in one question. (v) Section C comprises of 4 questions (Q.no. 11 to 14) of 4 marks each. Internal choice has been provided in one question. It also contains two case study based questions. (vi) Use of calculator is not permitted. SECTION A Question numbers 1 to 6 carry 2 marks each. 1. Find mode of the following frequency distribution : 2 Class 100 110 110 120 120 130 130 140 140 150 Frequency 5 9 8 11 7 2. Find the 8 th term of an AP whose first term is 24 and 11 th term is 21. 2 3. In Figure 1, PA and PB are tangents to the circle with centre at O. If APB = 70 , then find m AQB. 2 Figure 1 4. (a) For what value of p, does the quadratic equation px 2 + 2x + p = 0 have real and equal roots ? 2 OR (b) Solve the quadratic equation for x : 6 x x 2 = 0 2 5. For an AP with common difference 6, the sum of first ten terms is same as four times the sum of first five terms. Determine the first term of the AP. 2 70 .430/3/3 4 6. (H$) AmH¥${V 2 _| {XImE AZwgma, 7 go_r ^wOm dmbo EH$ KZmH¥${V IÊS> na A{YH$V_ g§^d ì`mg dmbm EH$ AY©Jmobm AÜ`mamo{nV h¡ & àmßV R>mog H$m gånyU© n¥îR>r` joÌ\$b kmV H$s{OE & 2 2 AWdm (I) 3 go_r {ÌÁ`m dmbo EH$ R>mog Jmobo H$mo {nKbmH$a 3 go_r D±$MmB© VWm 2 go_r {ÌÁ`m dmbo {H$VZo R>mog e§Hw$Am| _| T>mbm Om gH$Vm h¡ ? 2 IÊS>> I 7 10 3 7. {ZåZ ~ma§~maVm ~§Q>Z H$m _mÜ`H$ kmV H$s{OE : 3 15 20 8 20 25 13 25 30 21 30 35 12 35 40 5 40 45 4 8. 7 _r. D±$Mo ^dZ Ho$ {eIa go EH$ Ho$~b Q>m°da Ho$ {eIa H$m CÞ`Z H$moU 60 h¡ Am¡a BgHo$ nmX H$m AdZ_Z H$moU 45 h¡, O¡go {H$ AmH¥${V 3 _| {XIm`m J`m h¡ & Q>m°da H$s D±$MmB© kmV H$s{OE & 3 3 Page 5 .430/3/3 1 P.T.O. narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð >na Adí` {bIo§ & Candidates must write the Q.P. Code on the title page of the answer-book. Series PPQQB/3 SET ~3 àíZ-nÌ H$moS> Q.P. Code amob Z§. Roll No. NOTE (I) 11 (I) Please check that this question paper contains 11 printed pages. (II) (II) Q.P. Code given on the right hand side of the question paper should be written on the title page of the answer-book by the candidate. (III) 14 (III) Please check that this question paper contains 14 questions. (IV) (IV) Please write down the serial number of the question in the answer-book before attempting it. (V) 15 10.15 10.15 10.30 (V) 15 minute time has been allotted to read this question paper. The question paper will be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the question paper only and will not write any answer on the answer-book during this period. J{UV (~w{Z`mXr) MATHEMATICS (BASIC) : 2 : 40 Time allowed : 2 hours Maximum Marks : 40 430/3/3 .430/3/3 2 : : (i) 14 (ii) (iii) 6 1 6 2 (iv) 4 7 10 3 (v) 4 11 14 4 (vi) IÊS>> H$ 1 6 2 1. {ZåZ{b{IV ~ma§~maVm ~§Q>Z Ho$ {bE ~hþbH$ kmV H$s{OE : 2 100 110 110 120 120 130 130 140 140 150 5 9 8 11 7 2. 24 VWm 11dm± nX 21 8dm± nX kmV H$s{OE & 2 3. AmH¥${V 1 _|, PA VWm PB Ho$ÝÐ O dmbo d¥Îm na ItMr JB© ñne©-aoImE± h¢ & `{X APB = 70 h¡, Vmo AQB H$s _mn kmV H$s{OE & 2 1 4. (H$) p Ho$ {H$g _mZ Ho$ {bE {ÛKmV g_rH$aU px 2 + 2x + p = 0 Ho$ _yb dmñV{dH$ VWm ~am~a hm|Jo ? 2 AWdm (I) {ÛKmV g_rH$aU 6 x x 2 = 0 H$mo x Ho$ {bE hb H$s{OE & 2 5. 6 h¡ & BgHo$ àW_ Xg nXm| H$m `moJ\$b, àW_ nm±M nXm| Ho$ `moJ\ 2 70 .430/3/3 3 P.T.O. General Instructions : Read the following instructions very carefully and strictly follow them : (i) This question paper contains 14 questions. All questions are compulsory. (ii) This question paper is divided into three sections Sections A, B and C. (iii) Section A comprises of 6 questions (Q.no. 1 to 6) of 2 marks each. Internal choice has been provided in two questions. (iv) Section B comprises of 4 questions (Q.no. 7 to 10) of 3 marks each. Internal choice has been provided in one question. (v) Section C comprises of 4 questions (Q.no. 11 to 14) of 4 marks each. Internal choice has been provided in one question. It also contains two case study based questions. (vi) Use of calculator is not permitted. SECTION A Question numbers 1 to 6 carry 2 marks each. 1. Find mode of the following frequency distribution : 2 Class 100 110 110 120 120 130 130 140 140 150 Frequency 5 9 8 11 7 2. Find the 8 th term of an AP whose first term is 24 and 11 th term is 21. 2 3. In Figure 1, PA and PB are tangents to the circle with centre at O. If APB = 70 , then find m AQB. 2 Figure 1 4. (a) For what value of p, does the quadratic equation px 2 + 2x + p = 0 have real and equal roots ? 2 OR (b) Solve the quadratic equation for x : 6 x x 2 = 0 2 5. For an AP with common difference 6, the sum of first ten terms is same as four times the sum of first five terms. Determine the first term of the AP. 2 70 .430/3/3 4 6. (H$) AmH¥${V 2 _| {XImE AZwgma, 7 go_r ^wOm dmbo EH$ KZmH¥${V IÊS> na A{YH$V_ g§^d ì`mg dmbm EH$ AY©Jmobm AÜ`mamo{nV h¡ & àmßV R>mog H$m gånyU© n¥îR>r` joÌ\$b kmV H$s{OE & 2 2 AWdm (I) 3 go_r {ÌÁ`m dmbo EH$ R>mog Jmobo H$mo {nKbmH$a 3 go_r D±$MmB© VWm 2 go_r {ÌÁ`m dmbo {H$VZo R>mog e§Hw$Am| _| T>mbm Om gH$Vm h¡ ? 2 IÊS>> I 7 10 3 7. {ZåZ ~ma§~maVm ~§Q>Z H$m _mÜ`H$ kmV H$s{OE : 3 15 20 8 20 25 13 25 30 21 30 35 12 35 40 5 40 45 4 8. 7 _r. D±$Mo ^dZ Ho$ {eIa go EH$ Ho$~b Q>m°da Ho$ {eIa H$m CÞ`Z H$moU 60 h¡ Am¡a BgHo$ nmX H$m AdZ_Z H$moU 45 h¡, O¡go {H$ AmH¥${V 3 _| {XIm`m J`m h¡ & Q>m°da H$s D±$MmB© kmV H$s{OE & 3 3 .430/3/3 5 P.T.O. 6. (a) A cubical block of side 7 cm is surmounted by a hemisphere of largest possible diameter as shown in Figure 2. Find the total surface area of the solid. 2 Figure 2 OR (b) How many solid cones of height 3 cm and radius 2 cm can be formed by melting a solid sphere of radius 3 cm ? 2 SECTION B Question numbers 7 to 10 carry 3 marks each. 7. Determine median of the following frequency distribution : 3 Class Frequency 15 20 8 20 25 13 25 30 21 30 35 12 35 40 5 40 45 4 8. From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60 and the angle of depression of its foot is 45 as shown in Figure 3. Determine the height of the tower. 3 Figure 3Read More
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