JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

If the equation

6 x^2-5 x y+y^2=0

represents a pair of distinct straight lines each passing through the origin. Then, the separate equation of these lines are

View answer and explanation

Correct option: A

y-3 x=0

and

y-2 x=0

Option A (

y-3 x=0

and

y-2 x=0

) is correct because the given homogeneous equation can be factored into these two linear equations representing lines passing through the origin.

More Questions from PAIR OF STRAIGHT LINES

Practice All Chapter MCQs →

a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

(-1,3)

y=2 x

a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

y

4 x^2+2 \lambda x y-7 y^2=0

\lambda

3 x^2+2 h x y+3 y^2=0

h

3 x^2-3 h x y+4 y^2=0