Class 12 Applications Of Integrals · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Applications Of Integrals · Assertion Reason #2

Assertion: The area inside 2x²+3y²=6 is greater than the area inside x²+y²−2x+4y+4=0. Reason: The ellipse semi-major axis is longer than the radius of the circle.

(A) Both A and R are true, and R correctly explains A.
(B) Both A and R are true, but R does not correctly explain A.
(C) A is true, but R is false.
(D) A is false, but R is true.

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.

The ellipse has semiaxes √3,√2 and area π√6. The circle is (x−1)²+(y+2)²=1, with area π. Both A and R are true, but one semiaxis comparison alone does not establish an area comparison.

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Class 12 Maths · Applications Of Integrals · Assertion Reason #2

✅ Step-by-Step Solution

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