Question

Assertion : If the sum of the zeroes of the quadratic polynomial x2 is 2 then value of k is 1. Reason : Sum of zeroes of a quadratic polynomial ax2 + bx + c is-b/a Both Assertion and Reason are correct and Reason is the correct explanation for Assertion. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion. O Assertion is correct but Reason is incorrect. O Assertion is incorrect but Reason is correct. NA ANSWER​

Answer 1

Answer:

Given that the zeros of the quadratic polynomial ax

2

+bx+c,c



=0 are equal.

=> Value of the discriminant(D) has to be zero.

=>b

2

−4ac=0

=>b

2

=4ac

Since. L.H.S b

2

cannot be negative, thus, R.H.S. can also be never negative.

Therefore, a and c must be of the same sign.

:)

Answer 2

Given: The sum of the zeroes of the quadratic polynomial is 2

Polynomial is kx²

To Find: Value of k

Solution:

Given polynomial is kx²

The standard form of polynomials is ax² + bx + c = 0, where x is a variable and a,b and c are constants.

On comparing the polynomial with the standard form

In the given polynomial, a = k, b = 0 and c = 0

We know that the product of the roots of a quadratic equation is $\frac{c}{a}$

We know that the sum of the roots of a quadratic equation is $\frac{-b}{a}$

So,  $\frac{-b}{a}$ = 2

k = 0.

Therefore, the assertion here is incorrect and the reason is correct