question_answer

If the tangent at a point \[P(x,y)\] of a curve is perpendicular to the line that joins origin with the point P, then the curve is [MP PET 1998]

A)            Circle                                        

B)            Parabola

C)            Ellipse                                       

D)            Straight line

Correct Answer: A

Solution :

           The tangent drawn at point \[P(x,\ y)\]on the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] is perpendicular to the line that joins the origin with point P.                    So required curve will be circle.