2. inverse trigonometric function - Gujarat Board (GSEB) ધોરણ 12 સાયન્સ ગણિત Questions - Vidyadip

Question types

2. inverse trigonometric function question types

580 questions across 1 question group — pick any mix to generate a ગણિત paper with step-by-step answer keys.

580

Questions

1

Question groups

5

Question types

MCQ

Sample Questions

2. inverse trigonometric function questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark

${\sin ^{ - 1}}\left[ {x\sqrt {1 - x} - \sqrt x \sqrt {1 - {x^2}} } \right] = $

A
${\sin ^{ - 1}}x + {\sin ^{ - 1}}\sqrt x $
✓
${\sin ^{ - 1}}x - {\sin ^{ - 1}}\sqrt x $
C
${\sin ^{ - 1}}\sqrt x - {\sin ^{ - 1}}x$
D
એકપણ નહીં.

Answer: B.

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Q 2MCQ1 Mark

જો ${\tan ^{ - 1}}\frac{{1 - x}}{{1 + x}} = \frac{1}{2}{\tan ^{ - 1}}x$, તો $ x =$

A
$1$
B
$\sqrt 3 $
✓
$\frac{1}{{\sqrt 3 }}$
D
એકપણ નહીં.

Answer: C.

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Q 3MCQ1 Mark

જો $\frac{\pi }{2} \le x \le \frac{{3\pi }}{2},$ તો ${\sin ^{ - 1}}(\sin x) =\ . ..... ..$

A
$x$
B
$ - x$
C
$\pi + x$
✓
$\pi - x$

Answer: D.

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Q 4MCQ1 Mark

જો $\pi \le x \le 2\pi $, તો ${\cos ^{ - 1}}(\cos x) =\ . .... ..$

A
$x$
B
$ - x$
C
$2\pi + x$
✓
$2\pi - x$

Answer: D.

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Q 5MCQ1 Mark

${\sin ^{ - 1}}(\sin 10) =\ . .... .$

A
$10$
B
$10 - 3\pi $
✓
$3\pi - 10$
D
એકપણ નહીં.

Answer: C.

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