JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

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Analyzing +4 | -1

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

View answer and explanation

Correct option: A

2 f g h=b g^2+c h^2

Option A (

2 f g h=b g^2+c h^2

) is correct because it represents the condition for the pair of lines to intersect on the y-axis, derived from the general equation and the intersection point's coordinates.

More Questions from PAIR OF STRAIGHT LINES

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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 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 The equation of a pair of straight lines is

a x^2+2 h x y+b y^2=0

. By what angle must the axes be rotated so that the term containing

x y

in the equation may be removed?