JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

If the angle between two lines represented by

2\;{x^2} + 5\;xy + 3\;{y^2} + 7\;y + 4 = 0

{\tan ^{ - 1}}m,

then m =

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Correct option: A

01-May

Option A (1/5) is correct because it is the value of m calculated using the formula for the angle between two lines represented by a homogeneous equation.

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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

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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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