Home
Class 12
MATHS
A curve passing through the point (1,1) ...

A curve passing through the point (1,1) has the porperty that the perpendicular distance of the normal at any point P on the curve from the origin is equal to the distance of P from x-axis Determine the equation of the curve.

A

`x^(2)+y^(2)=5x`

B

`x^(2)-y^(2)=5x`

C

`x^(2)y^(2)=5x`

D

All of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|18 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|13 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a curve passing through the point (1.1) if the perpendicular distance of the origin from the normal at any point P(x, y) of the curve is equal to the distance of P from the x-axis.

The perpendicular distance of the point P (3, 4) from the y-axis is :

The perpendicular distance of the point P(4,3) from y-axis is

The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

True/false The perpendicular distance of the point P(4,5) from the x-axis is always 4 units.

Find the equations of the normal at a point on the curve x^2=4y , which passes through the point (1,2). Also find the equation of the corresponding tangent.