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Consider the region enclosed by the parabola y = x^2 - 3 and the straight line y = kx + 2. Statement-1: If k = 0, the enclosed area is smaller. Statement-2: The area enclosed by y = x^2 - 3 and y = kx + 2 equals √(k^2 + 20).

1. Statement-1 is correct, Statement-2 is correct, and Statement-2 correctly explains Statement-1
2. Statement-1 is correct, Statement-2 is correct, but Statement-2 does not explain Statement-1
3. Statement-1 is incorrect, Statement-2 is correct
4. Statement-1 is correct, Statement-2 is incorrect

Correct answer: Statement-1 is incorrect, Statement-2 is correct

Solution

Statement-1 is incorrect because when k = 0, the line becomes horizontal, potentially enclosing a larger area with the parabola compared to other slopes. Statement-2 is correct as it accurately describes the area enclosed by the parabola and the line for any value of k.

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