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Class 10 Exam  >  Class 10 Notes  >  Mathematics (Maths) Class 10  >  Assertion & Reason Type Questions: Polynomials

Class 10 Maths Chapter 2 Assertion and Reason Questions - Polynomials

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Q1:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself:Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion: x2 +7x+12 has no real zeroes.
Reason: A quadratic polynomial can have at the most two zeroes.

View Solution

Q2:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: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 x2-2kx+8 is 2 then value of k is 1.
Reason: Sum of zeroes of a quadratic polynomial ax2+bx+c is -b/a

View Solution

Q3:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: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) = 4x3-x2+5x4+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.

View Solution

Q4:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: 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.

View Solution

Q5:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: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 one zero of polynomial p(x) = (k2+4)x2+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).

View Solution

Q6:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself:Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion: x2+4x+5 has two real zeroes.
Reason: A quadratic polynomial can have at the most two zeroes.

View Solution

Q7:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: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) = x2 - 4x - 5 are 5, - 1
Reason : The polynomial whose zeroes are 2 + √3, 2 - √3 is x2 - 4x + 7.
View Solution

Q8:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: 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) = (k2 + 4)x2 + 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).

View Solution

Q9:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: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 product of the zeroes of the quadratic polynomial x2+3x+5k is -10 then value of k is -2.
Reason: Sum of zeroes of a quadratic polynomial ax2+bx+c is -b/a

View Solution

Q10:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself:Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : x2 + 4x + 5 has two real zeroes.

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

View Solution

Q11:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself:Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : x2 + 4x + 5 has two real zeroes.

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

View Solution

Q12:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion (A): If the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is – 3, then the value of k is 4/3.

Reason (R): If – 1 is a zero of the polynomial p(x) = kx2 – 4x + k, then the value of k is –2.

View Solution

Q13:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: 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) = (k2 + 4)x2 + 13x + 4k is reciprocal of other, then k = 2.

Reason : If (x - α) is a factor of p(x), then p(α) = 0

i.e. α is a zero of p(x).

View Solution

Q14:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself:Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The graph y = f(x) is shown in figure, for the polynomial f(x). The number of zeros of f(x) is 3.

Class 10 Maths Chapter 2 Assertion and Reason Questions - Polynomials

Reason : The number of zero of the polynomial f(x) is the number of point of which f(x) cuts or touches the axes.

View Solution

Q15:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: Direction: 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) = 14x3 - 2x2 + 8x4 + 7x - 8 is a polynomial of degree 3.

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

View Solution

Q16:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The graph y = f(x) is shown in figure, for the polynomial f (x). The number of zeros of f(x) is 3.

Reason : The number of zero of the polynomial f(x) is the number of point of which f(x) cuts or touches the axes.

Class 10 Maths Chapter 2 Assertion and Reason Questions - Polynomials

View Solution

Q17:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : x3 + x has only one real zero.

Reason : A polynomial of nth degree must have n real zeroes.

View Solution

Q18:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion: Degree of a zero polynomial is not defined.

Reason: Degree of a non-zero constant polynomial is 0

View Solution

Q19:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion: The sum and product of the zeros of a quadratic polynomial are Class 10 Maths Chapter 2 Assertion and Reason Questions - Polynomials and 1/4 respectively.

Then the quadratic polynomial is 4x2 + x + 1.

Reason : The quadratic polynomial whose sum and product of zeros are given is x2-(sum of zeros). x + product of zeros.

View Solution

Q20:

Question for Assertion & Reason Type Questions: Polynomials
Try yourself: Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : x2 + 7x + 12 has no real zeroes.

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

View Solution

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