JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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The square of the distance between the origin and the point of intersection of the lines given by

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

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Correct option: C

\frac{c(a+b)-f^2-g^2}{a b-h^2}

Option B (

\frac{{c(a+b)-f^2-g^2}}{{h^2-a b}}

) is correct because it represents the square of the distance between the origin and the intersection point of the given lines, derived using partial derivatives and algebraic manipulation.

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 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