WBJEE · Maths · Hyperbola
The normal to a curve at \(P(x, y)\) meets the \(x\)-axis at \(G\). If the distance of \(G\) from the origin is twice the abscissa of \(P\) then the curve is
- A a parabola
- B a circle
- C a hyperbola
- D an ellipse
Answer & Solution
Correct Answer
(C) a hyperbola
Step-by-step Solution
Detailed explanation
equation of normal \(Y-y=\left(\frac{\frac{-1}{d y}}{d x}\right) \cdot(X-x) \quad Y=0 \quad \therefore \quad y \frac{d y}{d x}+x=X \quad \therefore \quad a / c \text { to } Q \quad y \cdot \frac{d y}{d x}+x=2 x\)…
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