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 ENGLISH|Exercise Exercise For Session 1|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|10 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos

Similar Questions

Explore conceptually related problems

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.

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.

Two lines represented by the equation. x^2-y^2-2x+1=0 are rotated about the point (1,0) , the line making the bigger angle with the position direction ofthe x-axis being turned by 45^@ in the clockwise sense and the other line being turned by 15^@ in the anti-clockwise sense. The combined equation of the pair of lines in their new position is

The line 3x - 4y + 7 = 0 is rotated through an angle pi/4 in the clockwise direction about the point (-1, 1) . The equation of the line in its new position is

If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about the origin through 90^0 , then find the equations in the new position.

If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about the origin through 90^0 , then find the equations in the new position.

If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about the origin through 90^0 , then find the equations in the new position.

The line P Q whose equation is x-y=2 cuts the x-axis at P ,a n dQ is (4,2). The line P Q is rotated about P through 45^0 in the anticlockwise direction. The equation of the line P Q in the new position is y=-sqrt(2) (b) y=2 x=2 (d) x=-2

if the axes are rotated through 60 in the anticlockwise sense,find the transformed form of the equation x^2-y^2=a^2 ,

The line P Q whose equation is x-y=2 cuts the x-axis at P ,and Q is (4,2). The line P Q is rotated about P through 45^@ in the anticlockwise direction. The equation of the line P Q in the new position is (A) y=-sqrt(2) (B) y=2 (C) x=2 (D) x=-2