When the axes are rotated through an angle?

When the axes are rotated through an angle 45°, the transformed equation of a curve is 17x^2 – 16xy + 17y^2 = 225. When the axes are rotated through an angle 45°, the transformed equation of a curve is 17×2 – 16xy + 17y2 = 225.

What is the formula for rotation of axes?

Key Equations

General Form equation of a conic section	Ax2+Bxy+Cy2+Dx+Ey+F=0
Rotation of a conic section	x=x′cos θ−y′sin θy=x′sin θ+y′cos θ
Angle of rotation	θ,where cot(2θ)=A−CB

When the axes are translated to the point 5’2 then transformed form of the equation XY 2x 5y 11/0 is?

I: The transformed equation of xy+2x-5y-11=0 when the origin is shifted to the point (5,-2) is XY=1.

When the axes are rotated through an angle 90 the equation?

x2=4ay.

When the axes are rotated through an angle 45 the transformed equation of a curve is 17x² 16xy 17 y² 225 Find the original equation of the curve?

When the axes are rotated through an angle of 45° , the transformed equation of a curve is 17x^2- 16xy+ 17y^2 = 225.

When the axes are rotated through an angle 45 degrees?

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

How do you remove XY term rotation of axes?

To eliminate the xy term of a conic of the form Ax2 + Bxy + Cx2 + Dx + Ey + F = 0 in order to use its standard form and write it in an equation of the form A’x’2 + C’y’2 + D’x’ + E’y’ + F’ = 0, you must rotate the coordinate axes through an angle θ such that cot(2θ) = .

When axes are rotated by an angle of 45?

When the axes are rotated through an angle 90 the equation 5x 2y 7 0 transforms to?

Transformation of Co-ordinates Given: The axes are rotated through an angle 90°. Given equation 5x – 2y + 7 = 0 transforms to pX + qY + r = 0.