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Definite Integration question

2020 · 6 Sep · Shift 1 · Q28

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 6 Sep · Shift 1 · Q28

Definite Integration question

2020 · 6 Sep · Shift 1 · Q28

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If I1 =

\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{100}}} dx

and I2 =

\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{101}}} dx

such that I2 =

\alpha

I1 then

\alpha

equals to :

A
${{5051} \over {5050}}$
B
${{5050} \over {5051}}$
C
${{5050} \over {5049}}$
D
${{5049} \over {5050}}$

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