Assertion (A): The area of region PQML = _a^b y dx = _a^b f(x) dx (region between curve y…
Mathematics · Class 12 · CBSE — Application of the Integrals
Assertion (A): The area of region PQML \(= \displaystyle\int_a^b y\,dx = \int_a^b f(x)\,dx\) (region between curve \(y = f(x)\), \(x\)-axis, and lines \(x = a\), \(x = b\)).
Reason (R): The area of the region bounded by curve \(x = g(y)\), \(y\)-axis and the lines \(y = c\) and \(y = d\) is given by \(A = \displaystyle\int_c^d x\,dy\).
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(B) Both (A) and (R) are true but (R) is not the correct explanation of (A).
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