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Sequences and Series question

2024 · 5 Apr · Shift 1 · Q42

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JEE Main
Mathematics
Sequences and Series
2024 · 5 Apr · Shift 1 · Q42

Sequences and Series question

2024 · 5 Apr · Shift 1 · Q42

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

If

\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\ldots+\frac{1}{\sqrt{99}+\sqrt{100}}=m

and

\frac{1}{1 \cdot 2}+\frac{1}{2 \cdot 3}+\ldots+\frac{1}{99 \cdot 100}=\mathrm{n}

, then the point

(\mathrm{m}, \mathrm{n})

lies on the line

A
$11(x-1)-100 y=0$
B
$11 x-100 y=0$
C
$11(x-1)-100(y-2)=0$
D
$11(x-2)-100(y-1)=0$

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