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 ax^(2)+2hxy+by^(2)=0 is rotated about the origin through 90^(@) , then their equations in the new position are givne by

If the pair of straight lines ax^(2)+2hxy+by^(2)=0 is rotated about the origin 90^(@); then find the eqution in the new position.

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 in the new position.

A line through the point P (1, 2) makes an angle of 60^0 with the positive direction of x-axis and is rotated about P in the clockwise direction through an angle 15^0 . Find the equation of the straight line in the new position.

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

A line joining A(2,0) and B(3,1) is rotated about A .in anticlock wise direction through angle 15^(0) ,then the equation of AB in the new position is

The pair of lines sqrt3x^(2)-4xy+sqrt3y^(2)=0 are rotated about the origin by pi//6 in anticlockwise sense. The equation of the pair in the new position, 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 anticlockwise direction through an angle 15^(@). Find the equation of the straight line in the new position.

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

Find the equations to the straight lines which are at a distanceof 2unit from the origin and which pass through the pointof intersection of the lines 3x+4y=4 and 2x+5y+2=0