Home
Class 12
MATHS
For all values of theta , the coordinate...

For all values of `theta` , the coordinates of a moving point P are `(acostheta,bsintheta)` , find the equation to the locus of P.

Text Solution

Verified by Experts

The correct Answer is:
`(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`
Promotional Banner

Topper's Solved these Questions

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 (MCQ)|30 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 (Very Short Type Questions )|41 Videos

  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

Similar Questions

Explore conceptually related problems

For all values of theta , the coordinates of a moving point P are (acostheta,asintheta) , the locus of P will be a-

The coordinates of a moving point P are (at^(2),2at) , where t is a variable parameter . Find the equation to the locus of P.

If the coordinates of a variable point P are (acostheta,bsintheta), where theta is a variable quantity, then find the locus of Pdot

The coordinates of a moving point P are (2t^(2) + 4, 4t + 6) , show that the locus of P is a parabola.

What type of conic is the locus of the moving point (at^(2),2at) ? Find the equation of the locus .

If x=acostheta and y=bsintheta ,find the relation between x and y.

The coordinates of a moving point P are (ct+(c)/(t),ct-(c)/(T)) , where t is a variable parameter . Find the equation to the locus of P.

A point P is moving in a cartesian plane in such a way that the area of the rectangle formed by the lines through P parallel to the coordinate axes together with ccordinate axes is constant. Find the equation of the locus of P .

The sum of the distances of a moving point from the points (c,0) and (-c,0) is always 2a unit (agtc) . Find the equation to the locus of the moving point.

The coordinates of a moving point P are [6sectheta ,8tantheta] where theta is a variable parameter . Show that equation to the locus of P is (x^(2))/(36)-(y^(2))/(64)=1 .