Maths-
General
Easy
Question
The equations x = a cos
, y = a sin, represent
- an ellipse
- a parabola
- a circle
- a hyperbola.
Hint:
The standard equation of a circle is given by:
Where (h,k) is the coordinates of center of the circle and r is the radius.
The correct answer is: a circle
Given : x = a cos ------ (1) ,
y = a sin ------ (2)
Squaring both equations and adding them we get
The standard equation of a circle is given by:
Comparing with equation 3
Thus, the equations x = a cos , y = a sin, , represent a circle.
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