COMEDK · Maths · 31. Area Under Curves
The area enclosed by the curve \(y = -x^2\) and the line \(x + y + 2 = 0\) is
- A \(4.5\) sq units
- B \(3.5\) sq units
- C \(5.5\) sq units
- D \(4\) sq units
Answer & Solution
Correct Answer
(A) \(4.5\) sq units
Step-by-step Solution
Detailed explanation
Find the points of intersection of the curve \(y = -x^2\) and the line \(x + y + 2 = 0\). Substituting \(y = -x^2\) into the line equation: \(x - x^2 + 2 = 0\) \(x^2 - x - 2 = 0\) \((x - 2)(x + 1) = 0\) The points of intersection are at \(x = -1\) and \(x = 2\). In the interval…
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