Home
Class 12
MATHS
If the pair of lines sqrt(3)x^(2)-4xy+sq...

If the pair of lines `sqrt(3)x^(2)-4xy+sqrt(3)y^(2)=0` is rotated about the origin by `pi//6` in the anticlockwise sense , then find the equation of the pair of lines in the new position.

A

`x^2-sqrt(3)xy=0`

B

`y^2-sqrt(3)xy=0`

C

`sqrt(3)x^2-xy=0`

D

`sqrt(3)y^2-xy=0`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The angle between the pair of lines : x^2+2xy-y^2=0 is :

A line through the point A (2, 0), which makes an angle of 30^@ with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15^@ . Then the equation of the straight line in the new position is :

Find the inclination to the x-axis of the lines : sqrt3 x-y +2=0 .

The plane x-y-z=4 is rotated through an angle 90^(@) about its line of intersection with the plane x+y+2z=4 . Then the equation of the plane in its new position is

Find the slop of line . The Equation of line is 2x-3y=2

Find the angle between the lines whose joint equation is 2x^2-3xy+y^2=0

Two straight lines rotate about two fixed points (-a,0) and (a,0) in anticlockwise sense. If they start from their position of coincidence such that one rotates at a rate double the other, then find the locus of curve.

Find the separate equation of lines represented by the equation x^2-6xy+8y^2=0

The equation of the line joining the origin to the point of intersection of the lines 2x^2+xy-y^2+5x-y+2=0 is

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are