Quadratic Equations Test

Result

Quadratic Equations Test - 3

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Weekly Quiz Competition

Question 1
3 / -1

If x = 2 is a root of the quadratic equation 3x2 – px – 2 = 0, then the value of ‘p’ is

A
3

B
0

C
1

D
5

Solution
Question 2
3 / -1

A
quadratic equation

B
constant

C
cubic equation

D
linear equation

Solution

Here, the degree is 2, therefore it is a quadratic equation.
Question 3
3 / -1

If p = – 7 and q = 12 and x²+px+q=0, then the value of ‘x’ is

A
– 3 and 4

B
3 and 4

C
3 and – 4

D
– 3 and – 4

Solution
Question 4
3 / -1

The roots of a quadratic equation x²−4px+4p²−q²=0 are

A
p + 2q, p – 2q

B
2p + q, 2p – q

C
2p + q, 2p + q

D
2p – q, 2p – q

Solution
Question 5
3 / -1

The two numbers whose sum is 27 and their product is 182 are

A
12 and 13

B
12 and 15

C
14 and 15

D
13 and 14

Solution

Explanation:Let the one number be xx .As the sum of numbers is 27 , then the other number will be (27−x)(27−x)

According to question
Question 6
3 / -1

The common root of 2x2+x−6=0 and x2−3x−10=0 is

A
2

B
5

C
-2

D
3/2

Solution
Question 7
3 / -1

In a cricket match Kumble took three wickets less than twice the number of wickets taken by Srinath. The product of the number of wickets taken by these two is 20, then the number of wickets taken by Kumble is

A
2

B
4

C
10

D
5

Solution

Explanation:
Let the number of wickets taken by Srinath be x then the number of wickets taken by Kumble will be 2x−3
According to question, x(2x−3)=20
Question 8
3 / -1

(x² + 1)² - x² = 0 has

A
no real roots

B
4 real roots

C
2 real roots

D
1 real root

Solution
Question 9
3 / -1

If the sum and product of the roots of the equation kx² + 6x + 4k = 0 are equal, then k =

A
−3/2

B
−2/3

C
2/3

D
3/2

Solution
Question 10
3 / -1

The product of two successive integral multiples of 5 is 1050. Then the numbers are

A
35 and 40

B
25 and 30

C
25 and 42

D
30 and 35

Solution

Explanation:
Let one multiple of 5 be x then the next consecutive multiple of will be (x+5) According to question,
Then the number are 30 and 35.
Question 11
3 / -1

The angry Arjun carried some arrows for fighting with Bheeshma. With half the arrows, he cut down the arrows thrown by Bheeshma on him and with six other arrows he killed the rath driver of Bheeshma. With one arrow each he knocked down respectively the rath, flag and bow of Bheeshma. Finally with one more than four times the square root of arrows he laid Bheeshma unconscious on an arrow bed. The total number of arrows that Arjun had is

A
80

B
100

C
96

D
120

Solution

Therefore, Arjun had 100 arrows.
Question 12
3 / -1

Which of the following has no real root?

A
x²−5x+3√2=0

B
x²+4x−3√2=0

C
x²−4x+3√2=0

D
x²−4x−3√2=0

Solution
Question 13
3 / -1

If 'sin α' and 'cos α' are the roots of thr equation ax² + bx + c = 0, then b² =

A
a²+2ac

B
a²−2ac

C
a²−ac

D
a²+ac

Solution
Question 14
3 / -1

The constant that must be added and subtracted to solve the quadratic equation by the method of completing the square is

A
9/64

B
1/64

C
1/16

D
1/8

Solution
Question 15
3 / -1

Which of the following has two distinct roots?

A
x²+x−5=0

B
x²+x+5=0

C
none of these

D
5x²−3x+1=0

Solution