TS EAMCET · Maths · Parabola
The equations of common tangents to the parabola \(y^2=16 x\) and the circle \(x^2+y^2 \div 8\) are
- A \(y=x+2, y=x-2\)
- B \(y=x+1, y=x-2\)
- C \(y=2 x+4, y=-2 x+4\)
- D \(y=x+4, y=-x-4\)
Answer & Solution
Correct Answer
(D) \(y=x+4, y=-x-4\)
Step-by-step Solution
Detailed explanation
\[ y^2=16 x \] Equation of parabola's tangent \[ \begin{aligned} y & =m x+\frac{a}{m} \\ \Rightarrow \quad y & =m x+\frac{4}{m} \end{aligned} \] For circle, equation of tangent,…
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