RD Sharma MCQs: Algebraic Identities | Mathematics (Maths) Class 9 PDF Download

 Page 1


     
             
       
 
  
 
      
Q u e s t i o n : 5 9
Mark the correct alternative in each of the following:
1
If x +
1
x
= 5
, then x
2
+
1
x
2
=
a
25
b
10
c
23
d
27
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Page 2


     
             
       
 
  
 
      
Q u e s t i o n : 5 9
Mark the correct alternative in each of the following:
1
If x +
1
x
= 5
, then x
2
+
1
x
2
=
a
25
b
10
c
23
d
27
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here put ,
Hence the value of is 
Hence the correct choice is c
.
Q u e s t i o n : 6 0
If x +
1
x
= 2
, then x
3
+
1
x
3
 =
a
64
b
14
c
8
d
2
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here putting ,
Hence the value of is 
Page 3


     
             
       
 
  
 
      
Q u e s t i o n : 5 9
Mark the correct alternative in each of the following:
1
If x +
1
x
= 5
, then x
2
+
1
x
2
=
a
25
b
10
c
23
d
27
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here put ,
Hence the value of is 
Hence the correct choice is c
.
Q u e s t i o n : 6 0
If x +
1
x
= 2
, then x
3
+
1
x
3
 =
a
64
b
14
c
8
d
2
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here putting ,
Hence the value of is 
Hence the correct choice is d
.
Q u e s t i o n : 6 1
If x +
1
x
= 4, then x
4
+
1
x
4
=
a
196
b
194
c
192
d
190
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here put ,
Squaring on both sides we get, 
Hence the value of is 
Hence the correct choice is b
.
Page 4


     
             
       
 
  
 
      
Q u e s t i o n : 5 9
Mark the correct alternative in each of the following:
1
If x +
1
x
= 5
, then x
2
+
1
x
2
=
a
25
b
10
c
23
d
27
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here put ,
Hence the value of is 
Hence the correct choice is c
.
Q u e s t i o n : 6 0
If x +
1
x
= 2
, then x
3
+
1
x
3
 =
a
64
b
14
c
8
d
2
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here putting ,
Hence the value of is 
Hence the correct choice is d
.
Q u e s t i o n : 6 1
If x +
1
x
= 4, then x
4
+
1
x
4
=
a
196
b
194
c
192
d
190
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here put ,
Squaring on both sides we get, 
Hence the value of is 
Hence the correct choice is b
.
Q u e s t i o n : 6 2
If x +
1
x
= 3
, then x
6
+
1
x
6
=
a
927
b
414
c
364
d
322
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity and 
Here put ,
Take Cube on both sides we get,
Hence the value of is 
Hence the correct choice is d
.
Page 5


     
             
       
 
  
 
      
Q u e s t i o n : 5 9
Mark the correct alternative in each of the following:
1
If x +
1
x
= 5
, then x
2
+
1
x
2
=
a
25
b
10
c
23
d
27
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here put ,
Hence the value of is 
Hence the correct choice is c
.
Q u e s t i o n : 6 0
If x +
1
x
= 2
, then x
3
+
1
x
3
 =
a
64
b
14
c
8
d
2
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here putting ,
Hence the value of is 
Hence the correct choice is d
.
Q u e s t i o n : 6 1
If x +
1
x
= 4, then x
4
+
1
x
4
=
a
196
b
194
c
192
d
190
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here put ,
Squaring on both sides we get, 
Hence the value of is 
Hence the correct choice is b
.
Q u e s t i o n : 6 2
If x +
1
x
= 3
, then x
6
+
1
x
6
=
a
927
b
414
c
364
d
322
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity and 
Here put ,
Take Cube on both sides we get,
Hence the value of is 
Hence the correct choice is d
.
Q u e s t i o n : 6 3
 If x
2
+
1
x
2
 = 102
, then x -
1
x
=
a
8
b
10
c
12
d
13
S o l u t i o n :
In the given problem, we have to find the value of 
Given 
We shall use the identity
Here putting ,
Hence the value of is 
Hence the correct choice is b
.
Q u e s t i o n : 6 4
If x
3
+
1
x
3
= 110
, then x +
1
x
=
a
5
b
10