Class 12 Applications Of Integrals · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Applications Of Integrals · Assertion Reason #5

Assertion: The region between x=y² and x=3 has area 4√3 square units. Reason: Intersections of y²=4ax and a straight line are found by solving their equations simultaneously.

(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 intersections have y=±√3. Integrating 3−y² over [−√3,√3] gives 4√3. Simultaneous solution identifies endpoints but does not itself calculate the area, so R does not explain the stated value.

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Class 12 Maths · Applications Of Integrals · Assertion Reason #5

✅ Step-by-Step Solution

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