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Co - ordinate Geometry Circles

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For all values of θ , the locus of the point of intersection of the lines xcosθ+ysinθ=a and xsinθ-ycosθ=b is

A. An ellipse

B. A circle

C. A parabola

D. A hyperbola

E. None of the above

View Answer

Correct choice: B

Explanation:

The point of intersection is
x=acosθ+ bsinθ
y=asinθ-bcosθ.
Therefore, x²+y²=a²+b². Obviously, it is equation of a circle.

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Eamcet Mathematics Co - ordinate Geometry Circles

Eamcet Mathematics
Co - ordinate Geometry Circles