Home
Class 12
MATHS
The equation of normal at any point o to...

The equation of normal at any point o to the curve `x =a cos theta + asin theta, y = a sin theta - acos theta` is always at a distance of

A

2a unit from origin

B

a unit from origin

C

`(1)/(2)a` unit from origin

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 5|5 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

The equation of normal at any point o to the curve x=a cos theta+a sin theta,y=a sin theta-a cos theta is always at a distance of

Show that the normal at any point theta to the curve x=a cos theta+a theta sin theta,y=a sin theta-a theta cos theta is at a constant distance from the origin.

Show that the normal at any point theta to the curve x=a cos theta+a theta sin thetay=a sin theta-a theta cos theta is at a constant distance from the origin.

Find the equation of the normal to the curve x=a cos theta and y=b sin theta at theta

Show that the equation of the normal at any point 'theta' on the curvex = 3 cos theta -cos^(3) theta, y=3 sin theta -sin^(3) theta is 4(y cos^(3)theta -x sin^(3) theta)=3 sin 4 theta.

The normal to the curve x=a(cos theta + theta sin theta), y=a(sin theta - theta cos theta) at any theta is such that