JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

L x^2-10 x y+12 y^2+5 x-16 y-3=0

represents a pair of straight lines, find the value of

L

View answer and explanation

Correct option: A

Option A (2) is correct because it is the value of L that makes the given equation represent a pair of straight lines, derived by applying the condition

abc + 2fgh - af^2 - bg^2 - ch^2 = 0

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

represents parallel straight lines, then Image of the point

(-1,3)

with respect to the line

y=2 x

is If the pair of lines represented by

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

intersect on

y

-axis, then If the sum of the slopes of the lines given by

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

is equal to the product of the slopes, then

\lambda

is equal to The equation

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

represents a pair of straight lines passing through the origin. The two lines are The value of

h

for which

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

represents a pair of coincident lines are