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Class 12 Applications Of Integrals · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Applications Of Integrals · Assertion Reason #4

Assertion: The first-quadrant region enclosed by y=x³ and y=x has area 1/4 square unit. Reason: A finite geometric area is a real number.
First-quadrant region between y=x and y=x³
First-quadrant region between y=x and y=x³

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
  1. The first-quadrant intersections are (0,0),(1,1); integrate x−x³ from 0 to 1 to get 1/4. R is true but provides no quantitative area calculation.

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