Home
Class 12
MATHS
A tangent and a normal to a curve at any...

A tangent and a normal to a curve at any point P meet the x and y axes at A, B and C, D respectively. Find the equation of the curve passing through `(1, 0)` if the centre of circle through `O.C, P and B` lies on the line y = x (where O is the origin).

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the curve passing through the origin.given that the slope of tangent to the curve at any point point is y+2x.

A line passing through the point P(4,2) meets the x and y-axis at A and B respectively. If O is the origin, then locus of the centre of the circumcircle of triangle OAB is

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

Find the equation of the curve passing through the point (1,0) if the slope of the tangent to the curve at any point (x,y)is(y-1)/(x^(2)+x)

Find the equation of the curve passing through the point (1,1) , given that the slope of the tangent to the curve at any point is (x)/( y)

A line passing through P(4, 2) meets the x and y-axis at A and B respectively. If O is the origin, then locus of the centre of the circumcircle of DeltaOAB is :

A line passing through P(4,2) meet the X and Y -axes at A and B, respectively.If O is the origin,then locus of the centre of the circumference of triangle OAB is

Find the equation of a curve passing through the point (1,pi/4) if the slope of the tangent to the curve at any point P(x,y) is y/x-cos^2(y/x)

The tangent at any point P to a curve C intersects the coordinate axes at A and B. If P be the mid-point of the line segment AB and the curve passes through the point (1,1), find the equation of the curve C.