Home
Class 11
MATHS
Find the equations of the following curv...

Find the equations of the following curves in cartesian form. Wherever the curve is a circle. Find its centre and radius : (i) `x = 3 cosalpha`,` y = 3 sin alpha`, (ii) `x = at^(2)`, `y = 2at`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `x^(2) + y^(2)=9` (ii) `y^(2) = 4ax`.
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE 11 (C) (SHORT ANSWER TYPE QUESTIONS )|7 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE 11 (D) (SHORT ANSWER TYPE QUESTIONS )|3 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE 11 (A) (LONG ANSWER TYPE QUESTIONS II )|10 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the following curves in cartesian form.If the curve is a circle find the centres and radii.(i) x=-1+2cos alpha,y=3+2sin alpha

Find the equation of the normal to the curve y=2x^(2)+3sin x at x=0.

Find the equations of the tangent and normal to the curve x=sin3t.,y=cos2t at t=(pi)/(4)

Find the equation of the normal to the curve y=x^(3)-3x at (2,3).

Find the equation of the tangent of the curve y=3x^(2) at (1, 1).

Find the Cartesian equation of the curves whose parametric equation are : x=3 cos alpha, y = 3 sin alpha

Find the equations of the tangent and normal to the curve x^((2)/(3))+y^((2)/(3))=2

Find the equation of the normal to the curve y=2x^(3)+3 sin x" at "x=0 .

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.