IITJEE ADVANCED 2023 PAPER SOLUTION (Q- let f:[1,infinity)-R be a differentiable function such

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Q) Let 𝑓:(0,∞)→𝑅 be a twice differentiable function. If for some π‘Žβ‰ 0,∫_0^1β€Šπ‘“(πœ†π‘₯)π‘‘πœ†=π‘Žπ‘“(π‘₯),𝑓(1)=1 Q) Let 𝑓:(0,∞)→𝑅 be a twice differentiable function. If for some π‘Žβ‰ 0,∫_0^1β€Šπ‘“(πœ†π‘₯)π‘‘πœ†=π‘Žπ‘“(π‘₯),𝑓(1)=1