A) parabola
B) ellipse
C) hyperbola
D) none of these
Correct Answer: D
Solution :
Given equation of curves are \[x\cos \alpha +y\sin \alpha =a\] ? (i) and \[x\sin \alpha -y\cos \alpha =b\] ? (ii) On squaring arid adding Eqs. (i) and (ii), we get \[{{x}^{2}}({{\cos }^{2}}\alpha +{{\sin }^{2}}\alpha )+\] \[{{y}^{2}}({{\sin }^{2}}\alpha +{{\cos }^{2}}\alpha )={{a}^{2}}+{{b}^{2}}\] \[\Rightarrow \] \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}+{{b}^{2}}\] \[\therefore \]It is equation of circle.
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