Home
Class 12
MATHS
Show that the normal at any point theta ...

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.

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)|26 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx when x = a (cos theta + theta sin theta) , y = a (sin theta - theta cos theta).

Eliminate theta between the equation : x =a cos theta + b sin theta, y =a sin theta- b cos theta .

Show that the equations of the normal at any point theta on the curve x = 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

If x = a (cos theta + theta sin theta) and y = a (sin theta - theta cos theta) , find (d^2y)/(dx^2) at t = pi/4 .

Prove that : sin 2 theta= 2sin theta cos theta .

(cosec theta -sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) = 1.