JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

All chords of the curve

3{x^2} - {y^2} - 2x + 4y = 0

which subtend a right angle at the origin, pass through the fix point

View answer and explanation

Correct option: B

(1,-2)

The correct answer is A (1,-2) because the equation of the chord is used to homogenize the given curve equation, and then the condition for the lines to be perpendicular is applied to find the fixed point.

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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

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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

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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

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for which

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

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