AP EAMCET · Maths · Parabola
If \(P\) is a point which divides the line segment joining the focus of the parabola \(y^2=12 x\) and a point on the parabola in the ratio 1:2. Then the locus of \(P\) is
- A \(y^2=2(x-2)\)
- B \(y^2=4 x\)
- C \(y^2=4(x-2)\)
- D \(y^2=9(x-3)\)
Answer & Solution
Correct Answer
(C) \(y^2=4(x-2)\)
Step-by-step Solution
Detailed explanation
Parabola : \(y^2=12 x \Rightarrow \quad\) Focus \(=(3,0)\) Let \(Q\left(3 t^2, 6 t\right)\) be a point on the parabola.…
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