Question 1

The number of roots of a quadratic equation is :

Accepted Answer

2

Answer

3

Answer

4

Answer

1

Question 2

If the discriminant (D) of a quadratic equation is greater than zero , then the roots are :

Accepted Answer

Real and unequal

Answer

imaginary

Answer

Real and equal

Answer

None of these

Question 3

If the discriminant (D) of a quadratic equation is less than zero ,then the roots are :

Accepted Answer

imaginary

Answer

Real and equal

Answer

None of these

Answer

Real and unequal

Question 4

The nature of roots of the quadratic equation 2y² -3y +1=0 ,is:

Accepted Answer

Real and equal

Answer

Real and unequal

Answer

imaginary

Answer

None of these

Question 5

If the discriminant (D) of a quadratic equation is zero ,then the roots are :

Accepted Answer

Real and equal

Answer

imaginary

Answer

Real and unequal

Answer

None of these

Question 6

The quadratic equation 2y² + ky + 2=0 has equal roots ,if the value of k is:

Accepted Answer

<math>\pm</math> 4

Answer

0

Answer

4

Answer

-4

Question 7

The nature of roots of the equation 5z² - 6z + 7=0 is :

Accepted Answer

imaginary

Answer

Real and unequal

Answer

Real and equal

Answer

None of these

Question 8

The equation a² +2a +1= (4-k a)²+ 3 will be quadratic , if the value of k is :

Accepted Answer

k<math>
e</math> 1

Answer

Any number

Answer

k=1

Answer

Insufficient data

Question 9

If a=2 is a solution of the quadratic equation ka² +2a - 3 =0 ,then the value of' k' is:

Accepted Answer

-     1       4

Answer

-1

Answer

-4

Answer

1     4

Question 10

If one root of a quadratic equation 6d² - d - k =0 is 2 ,then the value of'k' is:

3

Accepted Answer

2

Answer

1

Answer

83

Answer

19

Question 11

If the equation 3a² -6a + k =0 has real and distinct roots ,then the value of 'k' is:

Accepted Answer

k<math><</math> 3

Answer

k=3

Answer

k<math>></math> 3

Answer

k<math>\le</math> 3

Question 12

Which of the following is a root of the equation a² -7a + 12=0 ?

Accepted Answer

3

Answer

5

Answer

-4

Answer

-1

Question 13

One root of the quadratic equation 3d² -4d -4 =0 is:

Accepted Answer

2

Answer

32

Answer

6

Answer

23

Question 14

If a is a natural number and one of the roots of the equation 3b² - 14b + 8 = 0 ,then the value of a is:

Accepted Answer

4

Answer

8

Answer

23

Answer

6

Question 15

If the roots of the quadratic equation a² + 4a + k =0 are real ,then the value of k is:

Accepted Answer

k<math>\le</math> 4

Answer

k<math>\ge</math> 4

Answer

k<math><</math> 4

Answer

k<math>></math> 4

Question 16

The value of k ,for which the roots of v² +kv - 1= 0 are real and unequal is :

Accepted Answer

Any number

Answer

2

Answer

0

Answer

1

Question 17

The roots of the quadratic equation p² - 7p + 3 = 0 are :

Accepted Answer

6.54 , 0.46

Answer

-6.54 , -0.46

Answer

-6.54 , 0.46

Answer

6.54 , -0.46

Question 18

For the equation $e$ 4-a + $\sqrt{\frac{ }{ }}$ a+9 =5 ,the values of a are :

Accepted Answer

0 ,-5

Answer

2 ,3

Answer

-1, 6

Answer

4, 7

Question 19

The roots of the equation 21 b² - 8b - 4 =0 are :

Accepted Answer

2 $-$ 2

3 , 7

Answer

4                   -27      ,              3

Answer

1                    43         ,          9

Answer

-1                  1    2      ,           7

Question 20

The solution of the equation b - 18 = 6 is :

b

Accepted Answer

-2.195 , 8.195

Answer

3.225, -1.125

Answer

- 4 .173 , 2.109

Answer

2.235 ,-1.145

Question 21

The value of k for which the equation b² +4kb +(k² -k+2)=0 has equal roots is :

Accepted Answer

2 , $\sqrt{\frac{ }{ }}$ 1

3

Answer

-1          ,    -2                       3

Answer

1             ,     2                                3

Answer

-   2        3        ,  1

Question 22

The value (s) of b for which (b-1)²- 3 b + 4 =0 ,are :

Accepted Answer

1.38 , 3.62

Answer

3  ,4

Answer

1  ,      4            3

Answer

1.92  ,2.46

Question 23

If b =2 and b=3 are the roots of the equation 3b² -2mb +2n= 0 ,then the values of

m ,n respectively are :

Accepted Answer

15            ,92

Answer

7   ,  13

Answer

15     ,  7

Answer

9    ,  15

Question 24

If (a+1) (2a + 8) =(a+7) (a+3) ,then using factorisation method ,the values of a are :

Accepted Answer

±<math>\sqrt{\frac{ }{ }}</math> 13

Answer

$\pm$ 13 , $-$ 13

Answer

$\pm$ 12 , $-$ 13

Answer

- $e$ 13 , - $\sqrt{\frac{ }{ }}$ 13

Question 25

The two natural numbers which differ by 3 and whose squares have the sum 117 ,are :

Accepted Answer

6  , 9

Answer

4  , 7

Answer

5  , 8

Answer

8  , 11

Question 26

The roots of the equation 5b² - 6 $\sqrt{\frac{ }{ }}$ 5b + 9 = 0 are :

Accepted Answer

3 3

$\sqrt{\frac{ }{ }}$ 5 , $\sqrt{\frac{ }{ }}$ 5

Answer

4 , 2

$\sqrt{\frac{ }{ }}$ 5 $\sqrt{\frac{ }{ }}$ 5

Answer

3 $e$ 5 , 3 $\sqrt{\frac{ }{ }}$ 5

Answer

4 $e$ 5 , 2 $\sqrt{\frac{ }{ }}$ 5

Question 27

The roots of the quadratic equation 2b² - 5b - 4 = 0 are :

Accepted Answer

3.14 ,-0.64

Answer

4.84 , -1.98

Answer

3  ,  5

Answer

7  ,  -2

Question 28

The roots of the equation 2a² + 2a =3 are :

Accepted Answer

-1.8225 , 0.8225

Answer

-1.1115 , 1.2225

Answer

-0.7125 , 1.4225

Answer

-1.6445 ,0.6295

Question 29

If 6 $\sqrt{\frac{ }{ }}$ 2 = 1 ,then the value (s) of a is /are :

a a-1 a-2

Accepted Answer

3  ,     4             3

Answer

1     ,     4 3          3

Answer

1  ,2

Answer

2  ,     1              3

Question 30

If length of hypotenuse of a right -angled triangle exceeds the length of one side by

2 cm and exceeds twice the length of other side by 1 cm ,then the length of hypotenuse of the triangle is :

Accepted Answer

17 cm

Answer

1 cm

Answer

15 cm

Answer

22 cm

Question 31

If 2a articles cost ₹(5a +54) and (a + 2) similar articles cost ₹(10 a - 4) ,then the value of a is :

Accepted Answer

6

Answer

-6 5

Answer

8

Answer

10

Question 32

If the sum of two sides ,other than hypotenuse of a right angled triangle is 17 cm and the perimeter is 30 cm ,then the length of two sides are :

Accepted Answer

5 cm ,12 cm

Answer

7 cm , 10 cm

Answer

4 cm , 13 cm

Answer

6 cm , 11 cm

Question 33

If the sum of squares of two consecutive odd natural number is 290 ,then the two number are:

Accepted Answer

11  ,  13

Answer

7  ,  9

Answer

13  ,  15

Answer

9  ,  11

Question 34

The roots of the equation 1 $\sqrt{\frac{ }{ }}$ 1 =11 , a $e$ $-$ 4 , 7 are:

a + 4 a $-$ 7 30

Accepted Answer

1 , 2

Answer

3  ,  4

Answer

4  ,  7

Answer

3  ,  5

Question 35

The roots of -a ² + 1 a + 1 = 0 are - 1 and _______

2 2 2

Accepted Answer

1

Answer

2

Answer

4

Answer

3

Question 36

The positive root of $e$ 3a ²+ 6 = 3 is ______

Accepted Answer

± 1

Answer

2

Answer

1

Answer

-1

Question 37

The nature of roots of the quadratic equation a² - 3 (a+ 3) = 0 is ___________

Accepted Answer

Real and unequal

Answer

Real and equal

Answer

imaginary

Answer

None of these

Question 38

The roots of $e$ 3a² + 10 a - 8 $\sqrt{\frac{ }{ }}$ 3 = 0 are _____________

Accepted Answer

-4 $e$ 3 , 2

$\sqrt{\frac{ }{ }}$ 3

Answer

4 - $e$ 3 , 4

$\sqrt{\frac{ }{ }}$ 5

Answer

-2 $e$ 2 , 2

$\sqrt{\frac{ }{ }}$ 1

Answer

-3 $e$ 2 , 1

$\sqrt{\frac{ }{ }}$ 2

Question 39

If a + 3 = 3a - 7 , a≠ -2 , 3 , then value (s) of a is /are __________

a + 2 2a - 3 2

Accepted Answer

-1  ,  5

Answer

-  0  ,  4

Answer

0  ,  -2

Answer

0  ,  -3

Question 40

If 1 is a root of the equation a² + k a -5 =0 ,then the value of k is _____

2 4

Accepted Answer

2

Answer

3

Answer

1

Answer

4

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