When the axes are rotated through an angle `60^(0)`
the point Q is changed as (-7,2). Find Q.

When the axes are rotated through an angle 60^(0) The point R is changed as (2,0). Find R.

When the axes are rotated through an angle 60^(0) the point P is changed as (3,4). Find original coordinates of P.

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

The equation of a curve referred to a given system of axes is 3x^2+2x y+3y^2=10. Find its equation if the axes are rotated through an angle 45^0 , the origin remaining unchanged.

The equation of a curve referred to a given system of axes is 3x^2+2x y+3y^2=10. Find its equation if the axes are rotated through an angle 45^0 , the origin remaining unchanged.

If the axes are rotated through an angle 30^(0) then find the coordinates of (-2,4) in the new system.

If the axes are rotated through an angle 30^(0) , then find the coordinates of (0, 5) in the new system.

If the transferred equation of a curve is x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) when the axes are rotated through an angle 60^(@) , then the original equation of the curve is

Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts p and qdot Then (a) a^2+b^2=p^2+q^2 (b) 1/(a^2)+1/(b^2)=1/(p^2)+1/(q^2) (c) a^2+p^2=b^2+q^2 (d) 1/(a^2)+1/(p^2)=1/(b^2)+1/(q^2)

When the axes are rotated through an angle pi/2 , find the new coordinates of the point (alpha,0)