JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Medium

1 of 1

Analyzing +4 | -1

The value of

\lambda

for which the lines joining the point of intersection of curves

C_1

and

C_2

to the origin are equally inclined to the

X

-axis, where

C_1: \lambda x^2+3 y^2-2 \lambda x y+9 x=0

and

C_2: 3 x^2-4 y^2+8 x y-3 x=0

, is

View answer and explanation

Correct option: B

Option B (12) is correct because it is the value of

\lambda

that makes the lines joining the intersection points of the curves to the origin equally inclined to the X-axis.

More Questions from STRAIGHT LINES

Practice All Chapter MCQs →

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