A curve is such that the x - intercept of the tangent drawn to it the point P(x, y) is reciprocal of the abscissa of P. Then, the equation of the curveis (where, c is the constant of integration and `x gt 1`)

If the x-intercept of normal to a curve at P(x,y) is twice the abscissa of P then the equation of curve passing through M(2,4) is

The curve y=f(x) in the first quadrant is such that the y - intercept of the tangent drawn at any point P is equal to twice the ordinate of P If y=f(x) passes through Q(2, 3) , then the equation of the curve is

The curve y=f(x) in the first quadrant is such that the y - intercept of the tangent drawn at any point P is equal to twice the ordinate of P If y=f(x) passes through Q(2, 3) , then the equation of the curve is

The slope of normal at any point P of a curve (lying in the first quadrant) is reciprocal of twice the product of the abscissa and the ordinate of point P. Then, the equation of the curve is (where, c is an arbitrary constant)

The slope of normal at any point P of a curve (lying in the first quadrant) is reciprocal of twice the product of the abscissa and the ordinate of point P. Then, the equation of the curve is (where, c is an arbitrary constant)

If the tangent to the contentious curve y=f(x) "at" p(a,b) is parallel to the x-axis, then the equation of the tangent at p is

The y-intercept of the line normal to the curve y^2=x^2+33(y gt 0) at the point with abscissa 4 is :

The y-intercept of the line normal to the curve y^2=x^2+33(y gt 0) at the point with abscissa 4 is :

The slope of tangent at a point P(x, y) on a curve is - x/y . If the curve passes through the point (3, -4) , find the equation of the curve.