COMEDK · Maths · 31. Area Under Curves
The area bounded by the parabola \(y^2=36 x\) and its latus rectum is
- A 216 sq units
- B 54 sq units
- C 27 sq units
- D 108 sq units
Answer & Solution
Correct Answer
(A) 216 sq units
Step-by-step Solution
Detailed explanation
The equation of the parabola is \(y^2 = 36x\). Comparing this with the standard form \(y^2 = 4ax\), we get \(4a = 36\), which implies \(a = 9\). The latus rectum of the parabola is the line \(x = a = 9\). The points of intersection of the parabola \(y^2 = 36x\) and the latus…
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