Grade 10 Exam > Grade 10 Tests > Assertion & Reason Test: Polynomials - Grade 10 MCQ

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Assertion & Reason Test: Polynomials - Question 1

Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion: x^{2} +7x+12 has no real zeroes.

Reason: A quadratic polynomial can have at the most two zeroes.

Detailed Solution for Assertion & Reason Test: Polynomials - Question 1

Assertion & Reason Test: Polynomials - Question 2

Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion: If the sum of the zeroes of the quadratic polynomial x^{2}-2kx+8 is 2 then value of k is 1.

Reason: Sum of zeroes of a quadratic polynomial ax^{2}+bx+c is -b/a

Detailed Solution for Assertion & Reason Test: Polynomials - Question 2

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Assertion & Reason Test: Polynomials - Question 3

Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion: P(x) = 4x^{3}-x^{2}+5x^{4}+3x-2 is a polynomial of degree 3.

Reason: The highest power of x in the polynomial P(x) is the degree of the polynomial.

Detailed Solution for Assertion & Reason Test: Polynomials - Question 3

Assertion & Reason Test: Polynomials - Question 4

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).

Reason : Irrational zeros (roots) always occurs in pairs.

Detailed Solution for Assertion & Reason Test: Polynomials - Question 4

Assertion & Reason Test: Polynomials - Question 5

Assertion: If one zero of polynomial p(x) = (k^{2}+4)x^{2}+13x+4k is reciprocal of the other, then k=2.

Reason: If (x-a) is a factor of p(x), then p(a) = 0 i.e., a is a zero of p(x).

Detailed Solution for Assertion & Reason Test: Polynomials - Question 5

Assertion & Reason Test: Polynomials - Question 6

Assertion: x^{2}+4x+5 has two real zeroes.

Reason: A quadratic polynomial can have at the most two zeroes.

Detailed Solution for Assertion & Reason Test: Polynomials - Question 6

Assertion & Reason Test: Polynomials - Question 7

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Zeroes of f(x) = x^{2} - 4x - 5 are 5, - 1

Reason : The polynomial whose zeroes are 2 + √3, 2 - √3 is x^{2} - 4x + 7.

Detailed Solution for Assertion & Reason Test: Polynomials - Question 7

Assertion & Reason Test: Polynomials - Question 8

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : If one zero of poly-nominal p(x) = (k^{2} + 4)x^{2} + 13x + 4k is reciprocal of other, then k = 2.

Reason : If (x – a) is a factor of p(x), then p(a) = 0 i.e. a is a zero of p(x).

Detailed Solution for Assertion & Reason Test: Polynomials - Question 8

Assertion & Reason Test: Polynomials - Question 9

Assertion: If the product of the zeroes of the quadratic polynomial x^{2}+3x+5k is -10 then value of k is -2.

Reason: Sum of zeroes of a quadratic polynomial ax^{2}+bx+c is -b/a

Detailed Solution for Assertion & Reason Test: Polynomials - Question 9

Assertion & Reason Test: Polynomials - Question 10

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : x^{2} + 4x + 5 has two zeroes.

Reason : A quadratic polynomial can have at the most two zeroes.

Detailed Solution for Assertion & Reason Test: Polynomials - Question 10

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