JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let \(O \) be the vertex and \(Q\) be any point on the parabola \({x^2} = 8y\) .If the point \(P\) divides the line segment \(OQ\) internally in the ratio \( 1:3\) , then locus of \(P\) is :
- A \(\;{x^2} = 2y\)
- B \(\;{x^2} = y\)
- C \(\;{y^2} = x\)
- D \(\;{y^2} = 2x\)
Answer & Solution
Correct Answer
(A) \(\;{x^2} = 2y\)
Step-by-step Solution
Detailed explanation
\(P = (\frac{4t}{4}, \frac{2t^2}{4})\) \(h=\frac{4t}{4}=t\) \(k=\frac{2t^2}{4}=\frac{t^2}{2}\) \(x^2=2y\)
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