MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 83

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If the graph of the function $y = f (x)$ is symmetrical about the line $x = 2$ , then

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Important Questions on Sets, Relations and Functions

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 84

Let

f = \{(1, 1), (2, 4), (0, - 2), (- 1, - 5)\}

be a linear function from

Z

into

Z

. Then,

f (x)

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 85

If

f (x) = \log \frac{1 + x}{1 - x}

, then

f (x)

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 86

If the real valued function

f (x) = \frac{a^{x} - 1}{x^{n} (a^{x} + 1)}

is even, then

n

equals

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 87

The function

f (x) = \sec [\log (x + \sqrt{1 + x^{2}})]

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 88

The function

f (x) = \sin (\log (x + \sqrt{x^{2} + 1}))

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 89

If

f (x) + 2 f (\frac{1}{x}) = 3 x, x \neq 0

, and

S = \{x \in R : f (x) = f (- x)\};

then

S

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 90

If

[x]

denotes the greatest integer

\leq x

, then

[\frac{2}{3}] + [\frac{2}{3} + \frac{1}{99}] + [\frac{2}{3} + \frac{2}{99}] + \dots + [\frac{2}{3} + \frac{98}{99}] =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Competitive Thinking>Q 91

If the function

f (x) = \cos^{2} x + \cos^{2} (\frac{π}{3} + x) - \cos x \cos (\frac{π}{3} + x)

is constant (independent of

x

), then the value of this constant is