TS EAMCET · Maths · Parabola
The polar equation \(\cos \theta+7 \sin \theta=\frac{1}{r}\) represents a
- A circle
- B parabola
- C straight line
- D hyperbola
Answer & Solution
Correct Answer
(C) straight line
Step-by-step Solution
Detailed explanation
Polar equation is \[ \begin{aligned} & \quad \cos \theta+7 \sin \theta=\frac{1}{r} \\ & \Rightarrow r \cos \theta+7 r \sin \theta=1 \\ & \text { Put } \quad x=r \cos \theta, y=r \sin \theta \text {, we get } \\ & \Rightarrow \quad x+7 y=1 \end{aligned} \] This is the equation of…
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