Home
Class 11
MATHS
If the transferred equation of a curve i...

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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225 when the axes are rotated through an angle 45^(@) , then the original equation of the curve is

If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225 when the axes are rotated through an angle 45^(@) , then the original equation of the curve is

Find the transformed equation of x^(2)+2sqrt3 xy-y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0).

If the transformed equation of curve is X^(2)+3XY-2Y^(2)+17X-7Y-11=0 when the axes are translated to the point (2,3) then find the original equation of the curve.

Find the transformed equation of 3x^(2)+10xy +3y^(2) = 9 when the axes are rotated through an angle pi/4

If the transformed equation of curve is X^(2)+2Y^(2)+16=0 when the axes are translated to the point (-1,2) then find the original equation of the curve.

The transformed equation of 3x^(2)+3y^(2)+2xy-2=0 when the coordinats axes are rotated through an angle of 45^(@) , is

If the transformed equation of curve is X^(2)+Y^(2)=4 when the axes are translated to the point (-1,2) then find the original equation of the curve.

The equation 4xy-3x^(2)=a^(2) become when the axes are turned through an angle tan^(-1)2 is

If the coordiantes of a point P are transformed to (2,-4sqrt(3)) when the axes are rotated through an angle 60^(@) , then P=