COMEDK · Maths · 28. Indefinite Integration
The area of a triangle formed by the lines joining the vertex of the parabola \(x^2=\lambda y\) to the ends of its latus rectum is 18 sq units then the value of \(\lambda\) is
- A \(6\)
- B \(24\)
- C \(18\)
- D \(12\)
Answer & Solution
Correct Answer
(D) \(12\)
Step-by-step Solution
Detailed explanation
The equation of the parabola is \(x^2 = \lambda y\). Comparing this with the standard form \(x^2 = 4ay\), we have \(4a = \lambda\), which implies \(a = \dfrac{\lambda}{4}\). The vertex of the parabola is at \((0, 0)\). The ends of the latus rectum are at \((2a, a)\) and…
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