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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

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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Document Description: Assertion & Reason Type Questions: Polynomials for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The notes and questions for Assertion & Reason Type Questions: Polynomials have been prepared according to the Class 10 exam syllabus. Information about Assertion & Reason Type Questions: Polynomials covers topics like and Assertion & Reason Type Questions: Polynomials Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Assertion & Reason Type Questions: Polynomials.
Introduction of Assertion & Reason Type Questions: Polynomials in English is available as part of our Mathematics (Maths) Class 10 for Class 10 & Assertion & Reason Type Questions: Polynomials in Hindi for Mathematics (Maths) Class 10 course. Download more important topics related with notes, lectures and mock test series for Class 10 Exam by signing up for free. Class 10: Class 10 Maths Chapter 2 Assertion and Reason Questions - Polynomials
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