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Definite Integration question

2021 · 16 Mar · Shift 2 · Q32

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 16 Mar · Shift 2 · Q32

Definite Integration question

2021 · 16 Mar · Shift 2 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let P(x) = x2 + bx + c be a quadratic polynomial with real coefficients such that

\int_0^1 {P(x)dx}

= 1 and P(x) leaves remainder 5 when it is divided by (x

-

2). Then the value of 9(b + c) is equal to :

A
9
B
11
C
7
D
15

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