AP EAMCET201823 Apr 2018Morning ShiftMathematicsEllipseActual

The points of intersection of the perpendicular tangents drawn to the ellipse 4 x^2+9 y^2=36 lie on the curve.

Options

Ax^2+y^2=13
Bx^2-y^2=5
Cx+y=5
Dx^2 9 + y^2 4 =1

Correct answer

A. x^2+y^2=13

Step-by-step solution

We have, ellipse aligned 4 x^2+9 y^2 & =36 x^2 9 + y^2 4 & =1 x^2 3^2 + y^2 2^2 =1 aligned So, a^2=9 and b^2=4 . The points of intersection of the perpendicular tangents lie on director circle. Equation of director circle is array ll & x^2+y^2=a^2+b^2 & x^2+y^2=9+4 & x^2+y^2=13 array

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