JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1

If the lines represented by the equation

a x^2-b x y-y^2=0

make angles

\alpha

and

\beta

with the

x

-axis, then

\tan (\alpha+\beta)=

View answer and explanation

Correct option: B

\frac{-b}{1+a}

Option B (

\frac{{-b}}{{1+a}}

) is correct because it is derived from the formula for the tangent of the sum of two angles, where the slopes of the lines are related to the coefficients of the given equation.

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