JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let \(A B C D\) be a trapezium whose vertices lie on the parabola \(y^2=4 x\). Let the sides \(A D\) and \(B C\) of the trapezium be parallel to y -axis. If the diagonal AC is of length \(\frac{25}{4}\) and it passes through the point \((1,0)\), then the area of \(A B C D\) is
- A \(\frac{75}{4}\)
- B \(\frac{25}{2}\)
- C \(\frac{125}{8}\)
- D \(\frac{75}{8}\)
Answer & Solution
Correct Answer
(A) \(\frac{75}{4}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{A}\left(\mathrm{at}_1^2, 2 \mathrm{at}\right) \) \(\mathrm{C}\left(\frac{\mathrm{a}}{\mathrm{t}_1^2},-\frac{2 \mathrm{a}}{\mathrm{t}_1}\right) \) Length…
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