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, then the value of is:
$\int_{0}^{2a} f(x) \, dx = \int_{0}^{a} f(x) \, dx + \int_{0}^{a} f(k-x) \, dx$, then the value of $k$ is:
- (a)$a$
- (b)$2a$
- (c)Independent of $a$
- (d)None of the above options
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From ISC 2022 Specimen Mathematics Paper 1, question 1(ii).