The equation of curve referred to the new axes, axes retaining their directions, and origin `(4,5)` is `X^2+Y^2=36` . Find the equation referred to the original axes.

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.

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.

The equation of the ellipse referred to its axes as coordinate axes, which passes through the point (2, 2) and (1, 4) is

The equation of the ellipse refered to its axes as coordinate axes, which passes through the points (2, 2) and (1, 4) is

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

The coordinate axes are rotated about the origin O in the counter clockwise direction through an angle 60^(circ) . If p and q are the intercepts made on the new axes by a line whose equation referred to the original axes is x+y=1 then (1)/(p^(2))+(1)/(q^(2))=

The co-ordinate axes are rotated about the origin O in the counter-clockwise direction through an angle 60^(@) If a and b are the intercepts made on the new axes by a straight line whose equation referred to the original axes is 3x + 4y = 5 , then (1)/(a^(2)) + (1)/(b^(2)) =

The co-ordinate axes are rotated about the origin O in the counter-clockwise direction through an angle 60^(@) If p and q are the intercepts made on the new axes by a straight line whose equation referred to the original axes is x + y = 1 , then (1)/(p^(2)) + (1)/(q^(2)) =