TS EAMCET · Maths · Parabola
The number of normals that can be drawn through the point \((2,0)\) to the parabola \(y^2=7 x\) is
- A 0
- B 1
- C 2
- D 3
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\( \text{Equation of normal to } y^2 = 4ax: y = mx - 2am - am^3 \) \( \text{For } y^2 = 7x, 4a = 7 \Rightarrow a = \frac{7}{4} \) \( \text{Substitute } (2,0) \text{ and } a=\frac{7}{4}: 0 = 2m - 2\left(\frac{7}{4}\right)m - \left(\frac{7}{4}\right)m^3 \)…
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