JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Analyzing +4 | -1

If the line represented by

{x^2} - 2\;pxy - {y^2} = 0

are rotated about the origin through an angle

\theta

, one in clockwise direction and other in anti-clockwise direction, then the equation of the bisectors of the angle between the lines in the new position is

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Correct option: A

p{x^2} + 2\;xy - p{y^2} = 0

Option D (-1) is correct because when

f(f(x)) = x

, solving for

\alpha

gives

\alpha = -1

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