JEE MATHEMATICS MCQ: STRAIGHT LINES

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Analyzing +4 | -1

The line

L

has intercepts

a

and

b

on the coordinate axes. When keeping the origin fixed, the coordinate axes are rotated through a fixed angle, then the same line has intercepts

p

and

q

on the rotated axes. Then,

View answer and explanation

Correct option: B

\frac{1}{a^2}+\frac{1}{b^2}=\frac{1}{p^2}+\frac{1}{q^2}

Option B (

\frac{{1}}{{a^2}}+\frac{{1}}{{b^2}}=\frac{{1}}{{p^2}}+\frac{{1}}{{q^2}}

) is correct because the distance from the origin to the line remains constant under rotation.

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y = 2\;x + 4

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\left( {{x^2} + 7xy + 2{y^2}} \right)\left( {y - 1} \right) = 0