WBJEE · Maths · Parabola
The locus of the middle points of all chords of the parabola \(y^2=4\) ax passing through the vertex is
- A a straight line
- B an ellipse
- C a parabola
- D a circle
Answer & Solution
Correct Answer
(C) a parabola
Step-by-step Solution
Detailed explanation
\(\text {Hints: } 2 \mathrm{~h}=\mathrm{x}, 2 \mathrm{k}=\mathrm{y}\) \(\begin{aligned} & \mathrm{y}^2=4 \mathrm{ax} \\ & \mathrm{k}^2=2 \mathrm{ah} \\ & \mathrm{y}^2=2 \mathrm{ax} \end{aligned}\)
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