JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Hard

1 of 1

Analyzing +4 | -1

The line

L

has intercepts

a

and

b

on the coordinate axes. The coordinate axes are rotated through a fixed angle, keeping the origin fixed. If

p

and

q

are the intercepts of the line

L

on the new axes, then

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

is equal to

View answer and explanation

Correct option: B

Option B (0) is correct because the perpendicular distance from the origin to the line remains invariant under rotation of axes.

More Questions from STRAIGHT LINES

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x-3 y=p, a x+2 y=q

a x+y=r

\left\{ {a{t_1}{t_2},\;a\left( {{t_1} + {t_2})\} ,\{ a{t_2}{t_3},a({t_2} + {t_3}} \right)} \right\},\;\left\{ {a{t_3}{t_1},\;a\left( {{t_3} + {t_1}} \right)} \right\}

y = 2\;x + 4

6x = 3y + 5

{x^2} + {y^2} + 2xy - 8ax - 8ay - 9{a^2} = 0

(3,8)

x+3 y=7

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