[" The curve for which the normal at any "],[" point "(x,y)" and the line joining origin to "],[" that point form an isosceles triangle with "],[" the "x" -axis as base is "]

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

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

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

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

The equation of the pair of perpendicular lines passing through origin and forming an isosceles triangle with the line 2x+3y=6 , is

The area of the triangle formed by the origin, the point P(x,y) and its reflection in X -axis is

The length of normal at any point to the curve, y=c cosh(x/c) is