# Quiz - 1 For Class X (Quadratic Equation)

10 Questions | Total Attempts: 231  Settings  • 1.
If the equation x+ 4x + k = 0 has a real and distinct roots, then
• A.

K < 4

• B.

K > 4

• C.

K ≥ 4

• D.

K ≤4

• 2.
If the equation x2 - ax + 1 = 0 has two distinct roots, then
• A.

|a|= 2

• B.

|a|  < 2

• C.

|a| > 2

• D.

None of these

• 3.
If ax2 + bx + c = 0 has equal roots, then c= ?
• A.

-b/2a

• B.

B/2a

• C.

- b2/2a

• D.

B2/4a

• 4.
If x = 1 is a common root of ax2 + ax + 2 = 0 and x2 + x + b = 0 then ab = ?
• A.

1

• B.

2

• C.

4

• D.

3

• 5.
If a and b are roots of the equation x2 + ax + b = 0, then a + b = ?
• A.

1

• B.

2

• C.

- 2

• D.

- 1

• 6.
If one root of the equation whose one root is 2 and sum of whose roots is zero, is
• A.

X2 + 4 = 0

• B.

X2  - 4 = 0

• C.

4x2 - 1 = 0

• D.

X2 - 2 = 0

• 7.
If y = 1 is a common root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0 then ab equals ?
• A.

3

• B.

-7/2

• C.

6

• D.

-3

• 8.
The values of k for which the quadratic equation 16x2 + 4 kx + 9 = 0 has real and equal roots are
• A.

6, -1/6

• B.

36, -36

• C.

6, -6

• D.

3/4, - 3/4

• 9.
Find two numbers whose sum is 24 and product is 143
• A.

13, 11

• B.

12, 12

• C.

8, 16

• D.

None of these

• 10.
Find two consecutive odd positive integers sum of whose squares is 290
• A.

13, 15

• B.

11, 13

• C.

7, 9

• D.

5, 7

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