Home Physics JEE Main Full Syllabus Mock Test 75 Question New Syllabus TEST 4 PCM Consider the following statements Statement …
Physics JEE Main Full Syllabus Mock Test 75 Question New Syllabus TEST 4 PCM MCQ (Single Correct)

Consider the following statements

Statement I when is odd.
Statement II , if is even, then

A
Statement I is true and Statement II is false
B
Statement I is false and Statement II is true
C
Statement I and Statement II both are true
D
Statement I and Statement II both are false

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Text Solution

Verified by Experts
The correct answer is:
B

When is odd, let , so

Using , Eq. (i) can be written as,

On adding Eqs. (i) and (ii), we get

Statement is false.

When is even, let , then

On adding Eqs. (iii) and (iv), we get

Coefficient of constant term in

Coefficient of contstant term in

Coefficient of in

Coefficient of in

From Eq. (v), we get

Statement II is true.

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