AP EAMCET · Maths · Parabola
PQ is a focal chord of the parabola \(\mathrm{y}^2=4 \mathrm{x}\) with focus S. If \(\mathrm{P}=(4,4)\) then \(\mathrm{SQ}=\)
- A 2
- B \(\frac{5}{4}\)
- C 5
- D \(\frac{3}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{5}{4}\)
Step-by-step Solution
Detailed explanation
\(y^2=4x \Rightarrow a=1\) \(SP = x_P + a = 4+1=5\) \(\frac{1}{SP} + \frac{1}{SQ} = \frac{1}{a}\) \(\frac{1}{5} + \frac{1}{SQ} = \frac{1}{1}\) \(\frac{1}{SQ} = 1 - \frac{1}{5} = \frac{4}{5}\) \(SQ = \frac{5}{4}\)
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