Part CCSIR NET June 2024at-an-eigenvalue-solvability-is-a-condition

At an eigenvalue solvability is a condition

For $c \in R$ , consider the following Fredholm integral equation y(x) = 1 + x + cx $^{2} + 2 \int_{0}^{1} (1 - 3$ xt)y(t)dt. Then the values of c for which the integral equation admits a solution are

A.−8✓
B.−6
C.2
D.6

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

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50 are analysed free — try those first.

At an eigenvalue solvability is a condition

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