JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Analyzing +4 | -1

The four straight lines given by the equations

12 x^2+7 x y-12 y^2=0

and

12 x^2+7 x y-12 y^2-x+7 y-1=0

lie along the sides of a

View answer and explanation

Correct option: A

square

Option A (square) is correct because the given equations represent two pairs of parallel lines that are perpendicular to each other, and the distances between the parallel lines are equal.

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