Question

Equation $\frac{x-x_1}{\cos \theta }=\frac{y-y_1}{\sin \theta }=r$, may represents -

• A. Equation of straight line, if $\theta$ is constant and $r$ is variable.
• B. Equation of a circle, if $r$ is constant \& $\theta$ is variable.
• C. A straight line passing through a fixed point \& having a known slope.
• D. A circle with a known centre and given radius.

Answer 1

Answer: (A), (B), (C), (D)

Correct answer is (a) Equation of straight line, if $\theta$ is constant and $r$ is variable. Correct answer is (b) Equation of a circle, if $r$ is constant \& $\theta$ is variable. Correct answer is (c) A straight line passing through a fixed point \& having a known slope.Correct answer is (d) A circle with a known centre and given radius.