AP EAMCET · Maths · Parabola
The parabola \(x^2=4\) ay makes an intercept of length \(\sqrt{40}\) units on the line \(y=1+2 x\), then a value of \(4 a\) is
- A 2
- B -2
- C -1
- D 4
Answer & Solution
Correct Answer
(B) -2
Step-by-step Solution
Detailed explanation
Since length of the chord intercepted from the line \(y=m x+c\) by the parabola \(x^2=4 a y\) is \(4 \sqrt{a\left(1+m^2\right)\left(c+a m^2\right)}\) So, \(\sqrt{40}=4 \sqrt{a(\mathrm{l}+4)(\mathrm{l}+a(4))}\)…
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