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

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

Similar Questions

Explore conceptually related problems

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

If the pair of straight lines x^(2)-2pxy-y^(2)=0and x^(2)-2qxy-y^(2)=0 are such that each pair bisects the angle between the other pair , then prove that pq=-1 .

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (a) 3x^2+8x y-3y^2=0 (b) 3x^2+10 x y+3y^2=0 (c) y^2+2x y-3x^2=0 (d) x^2+2x y-3y^2=0

P- alpha form of the line x+ sqrt(3) y - 4=0 is…......

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

By shifting origin at (-2,3) find new transformed form at the equation y+3x=2 .

Find equation of the line through the point (0,2) making an angle (2pi)/( 3) with the positive X -axis. Also, find the equation of line parallel to it and crossing the Y -axis at a distance of 2 units below the origin.

The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the positive direction of X - axis, Y - axis and Z- axis respectively. The length of perpendicular drawn from origin to the plane is sqrt(2) , then the equation of the plane is .......

Find the roots of the following quadratic equations, if they exist. 4x^(2)+4sqrt(3)x+3=0