2 votes 2 votes If at every point of a certain curve, the slope of the tangent equals $\frac{-2x}{y}$ the curve is a straight line a parabola a circle an ellipse Others gate1995 lines-curves out-of-gate-syllabus + – Kathleen asked Oct 8, 2014 edited Apr 25, 2021 by Lakshman Bhaiya Kathleen 2.5k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes The slope of the tangent −2x/y that is dy/dx = -2x/y ydy = -2xdx itegrating both the side y^2/2 = -2*x^2/2 + c y^2/2 + x^2 = c it is in the form of x^2 / a^2 + y^2 / b^2 =c so the curve is an ellipse with a =1 and b = √2. nitesh_scorpio answered Dec 24, 2018 nitesh_scorpio comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes ans is D an ellipse jayendra answered Dec 27, 2014 jayendra comment Share Follow See 1 comment See all 1 1 comment reply anchitjindal07 commented Dec 19, 2018 reply Follow Share Can u please explain a bit 0 votes 0 votes Please log in or register to add a comment.