AP EAMCET · Maths · Parabola
Let \(O\) be the origin and \(A\) be a point on the curve \(y^2=4 x\). Then the locus of the mid point of \(O A\) is :
- A \(x^2=4 y\)
- B \(x^2=2 y\)
- C \(y^2=16 x\)
- D \(y^2=2 x\)
Answer & Solution
Correct Answer
(D) \(y^2=2 x\)
Step-by-step Solution
Detailed explanation
Since \(O\) be the origin and \(A\) be the point on the curve \(y^2=4 x\). \(\therefore\) Co-ordinates of \(O\) and \(A\) are \((0,0)\) and \(\left(a t^2, 2 a t\right)\) respectively. \(\therefore\) Co-ordinates of mid point of \(O A\) are…
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