If the pair of straight lines `ax^(2)+2hxy+by^(2)=0` is rotated about the origin through `90^(@)` , then find its equation 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 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.

The gradient of one of the lines ax^2+2hxy+by^2=0 is twice that of the other, then

If the lines represented by x^2-2pxy-y^2=0 are rotated about the origin through an angle theta , one 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

The line joining two points A(2,0) and B(3,1) is rotated about A in anticlockwise direction through an angle of 15^@ . find the equation of line in the new position. If B goes to C in the new position what will be the coordinates of C.

The point represented by the complex number (2-i) is rotated about origin through an angle of pi/2 in clockwise direction. The new position of the point will be-

A line joining two points A (2,0) and B(3,1) is rotated about A in the anit-clockwise direction through an angle 15^(@) . Find the equation of the line in the new position. If B goes to C in th new position, what are coordinates of C ?

A straight line is perpendicular to the straight line 3x-4y=6 and passes through (2,1) . Find its equation.

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

The image of the pair of lines represented by ax^(2)+2hxy+by^(2)=0 by the line mirror y=0 is