Question

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.(a) Both assertion (A) and reason (R) are true and
reason (R) is the correct explanation of assertion
(A).
(b) Both assertion (A) and reason (R) are true but
reason (R) is not the correct explanation of
assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

Answer 1

$\huge\bold{\displaystyle\rm{Questionー}}$

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.

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

(c) Assertion (A) is true but reason (R) is false.

(d) Assertion (A) is false but reason (R) is true.

______________________________

$\huge\bold{\displaystyle\rm{Answerー}}$

As irrational roots/zeroes always occurs in pairs. Therefore, when one zero is (2- √3) then the other will be (2+ √3) So, both (A) and (R) are correct and (R) explains (A).

Thus, (a) is the correct option.

Answer 2

SOLUTION

GIVEN

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

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

TO CHOOSE THE CORRECT OPTION

a)Both A and R are true and R is the correct explanation for A

b)Both A and R are true and R is not the correct explanation for A

c)A is true but R is false

d)A is false but R is true.

EVALUATION

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

Since (2-√3) is one zero of the quadratic polynomial

We know that if a - √b is a root of the equation then another root is a + √b

So Assertion is right

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

We know that if a - √b is a root of the equation then another root is a + √b

Thus Irrational zeros (roots) always occurs in pairs.

So Reason is correct

Also Result is the correct explanation for Assertion

FINAL ANSWER

Hence the correct option is

a) Both A and R are true and R is the correct explanation for A

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