TS EAMCET · Maths · Parabola
If the focal chord of the parabola \(x^2=12 y\) drawn through the point \((3,0)\) intersects the parabola at the points \(P\) and Q, then the sum of the reciprocals of the abscissae of the points \(P\) and \(Q\) is
- A \(\frac{1}{4}\)
- B \(\frac{1}{5}\)
- C \(\frac{1}{3}\)
- D \(\frac{1}{8}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
Focus of the parabola is \((0,3)\). Equation of the line \(\frac{x}{3}+\frac{y}{3}=1\) \(\Rightarrow y=3-x\) Solving for point of intersection…
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