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Question (11)

QN0036531

If the zeroes of 2x² + 5x - 3 are α and β, then αβ is:

(A) -3/2
(B) 3/2
(C) -5/2
(D) 5/2

Correct Answer: A

Explanation:

αβ = c/a = -3/2.

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Question (12)

QN0036532

A quadratic polynomial has two distinct zeroes when its graph:

(A) does not meet the x-axis
(B) touches the x-axis at one point
(C) cuts the x-axis at two distinct points
(D) is parallel to the x-axis

Correct Answer: C

Explanation:

Two distinct x-axis intersection points represent two distinct zeroes.

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Question (13)

QN0036533

If the graph of a quadratic polynomial touches the x-axis at exactly one point, the polynomial has:

(A) no zero
(B) one zero
(C) two distinct zeroes
(D) three zeroes

Correct Answer: B

Explanation:

The two zeroes coincide, so there is one distinct zero.

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Question (14)

QN0036534

If a quadratic polynomial has no real zero, its graph:

(A) must cut the x-axis twice
(B) must touch the x-axis once
(C) does not intersect the x-axis
(D) must be a straight line

Correct Answer: C

Explanation:

Real zeroes correspond to points where the graph intersects the x-axis.

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Question (15)

QN0036535

For p(x) = x² - 7x + 12, the zeroes are:

(A) 2 and 6
(B) 3 and 4
(C) -3 and -4
(D) 1 and 12

Correct Answer: B

Explanation:

x² - 7x + 12 = (x - 3)(x - 4). Hence the zeroes are 3 and 4.

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Question (16)

QN0036536

If x = 2 is one zero of 2x² - 7x + 6, the other zero is:

(A) 1
(B) 3/2
(C) 2
(D) 3

Correct Answer: B

Explanation:

Product of zeroes = 6/2 = 3. If one zero is 2, the other is 3/2.

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Question (17)

QN0036537

If one zero of 3x² - 10x + 3 is 3, the other zero is:

(A) 1/3
(B) 2/3
(C) 1
(D) 3

Correct Answer: A

Explanation:

Product of zeroes = 3/3 = 1. Therefore, the other zero is 1/3.

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Question (18)

QN0036538

If the zeroes of x² + px + 12 are 3 and 4, then p is:

(A) 7
(B) -7
(C) 12
(D) -12

Correct Answer: B

Explanation:

Sum of zeroes = 3 + 4 = 7 = -p. Hence p = -7.

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Question (19)

QN0036539

If the zeroes of 2x² + kx + 8 have sum -5, then k equals:

(A) 5
(B) 10
(C) -5
(D) -10

Correct Answer: B

Explanation:

-k/2 = -5, so k = 10.

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Question (20)

QN0036540

If the product of the zeroes of 4x² - 9x + k is 2, then k is:

(A) 2
(B) 4
(C) 6
(D) 8

Correct Answer: D

Explanation:

Product of zeroes = k/4 = 2. Therefore, k = 8.

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Question (11)

If the zeroes of 2x² + 5x - 3 are α and β, then αβ is:

Explanation:

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Question (12)

A quadratic polynomial has two distinct zeroes when its graph:

Explanation:

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Question (13)

If the graph of a quadratic polynomial touches the x-axis at exactly one point, the polynomial has:

Explanation:

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Question (14)

If a quadratic polynomial has no real zero, its graph:

Explanation:

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Question (15)

For p(x) = x² - 7x + 12, the zeroes are:

Explanation:

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Question (16)

If x = 2 is one zero of 2x² - 7x + 6, the other zero is:

Explanation:

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Question (17)

If one zero of 3x² - 10x + 3 is 3, the other zero is:

Explanation:

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Question (18)

If the zeroes of x² + px + 12 are 3 and 4, then p is:

Explanation:

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Question (19)

If the zeroes of 2x² + kx + 8 have sum -5, then k equals:

Explanation:

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Question (20)

If the product of the zeroes of 4x² - 9x + k is 2, then k is:

Explanation:

Link:

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