MHT-CET

Sequences and Series question bank (Mathematics)

Practice 66 free MHT-CET Mathematics - Sequences and Series questions with answers and step-by-step solutions.

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Q1.

If $x, y, \mathrm{z}$ are in Arithmetic Progression and $\tan ^{-1} x, \tan ^{-1} y, \tan ^{-1} z$ are also in Arithmetic progression, where $x, \mathrm{z}\gt0$ and $x \mathrm{z} \lt 1, y \lt 1$, then

(A)

$x=y=z$

(B)

$2 x=3 y=6 z$

(C)

$6 x=3 y=2 z$

(D)

$6 x=4 y=3 z$

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Q2.

Angles of a triangle are in the ratio $4: 1: 1$. Then the ratio of its greatest side to its perimeter is

(A)

$3:(2+\sqrt{3})$

(B)

$\sqrt{3}:(2+\sqrt{3})$

(C)

$\sqrt{3}:(2-\sqrt{3})$

(D)

$1:(2+\sqrt{3})$

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