Home
Class 12
MATHS
The curve in the first quadrant for whic...

The curve in the first quadrant for which the normal at any point `(x , y)` and the line joining the origin to that point form an isosceles triangle with the x-axis as base is (a) an ellipse (b) a rectangular hyperbola (c) a circle (d) None of these

Promotional Banner

Similar Questions

Explore conceptually related problems

The equation (x^(2))/(1-r)-(y^(2))/(1+r)=1,r>1 represents (a)an ellipse (b) a hyperbola (c)a circle (d) none of these

The curve for which the length of the normal is equal to the length of the radius vector is/are (a) circles (b) rectangular hyperbola (c) ellipses (d) straight lines

Show that all curves for which the slope at any point (x,y) on it is (x^2+y^2)/(2xy) are rectangular hyperbola.

A normal at any point (x,y) to the curve y=f(x) cuts triangle of unit area with the axes,the equation of the curve is :

If the least area of triangle formed by tangent,normal at any point P on the curve y=f(x) and X -axis is 4sq. unit.Then the ordinate of the point P(P lies in first quadrant) is

With a given point and line as focus and directrix,a series of ellipses are described. The locus of the extremities of their minor axis is an (a)ellipse (b)a parabola (c)a hyperbola (d) none of these