AP EAMCET · Maths · Parabola
If the focal chord drawn through the point \(\mathrm{P}(5,5)\) to the parabola \(\mathrm{y}^2=5 \mathrm{x}\) meets the parabola again at the point \(\mathrm{Q}\), then the tangent drawn to this parabola at Q meets the axis of the parabola at the point
- A \(\left(\frac{-5}{4}, 0\right)\)
- B \(\left(\frac{5}{16}, 0\right)\)
- C \(\left(\frac{-5}{16}, 0\right)\)
- D \(\left(\frac{5}{4}, 0\right)\)
Answer & Solution
Correct Answer
(C) \(\left(\frac{-5}{16}, 0\right)\)
Step-by-step Solution
Detailed explanation
\(\because y^2=5 x \Rightarrow\) focus \(\equiv\left(\frac{5}{4}, 0\right)\) Equation of focal chord \[ (y-5)=\left(\frac{5-0}{5-\frac{5}{4}}\right)(x-5) \Rightarrow 4 x-3 y=5 \] Solving \(\mathrm{y}^2=5 x \& 4 x-3 y=5\), we get: Coordinate of…
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