JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

If the lengths of the perpendiculars drawn from origin to

x \sec \theta+y \operatorname{cosec} \theta=a

and

x \cos \theta-y \sin \theta=a \cos 2 \theta

are

p

and

p^{\prime}

respectively, then

4 p^2+p^{\prime 2}=\ldots \ldots

View answer and explanation

Correct option: A

a^2

Option A (

a^2

) is correct because the expression

4p^2 + p'^2

simplifies to

a^2

using trigonometric identities.

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