JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Assertion: If

(x+1, y-2)=(3,1)

, then

x=2

and

y=3

.

Reason: Two ordered pairs are equal, if their corresponding elements are equal.

View answer and explanation

Correct option: A

Assertion is correct, Reason is correct; Reason is a correct explanation for assertion

Option A (Assertion is correct, Reason is correct; Reason is a correct explanation for assertion) is correct because the assertion is true, and the reason correctly explains why ordered pairs are equal.

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

, where

f(x)=x(4-x)

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f^{-1}(x)

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g(f(x))=|\sin x|

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f(g(x))=(\sin \sqrt{x})^2

, then Let

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

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f\left( x \right) = x - \left[ x \right]

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{f^{ - 1}}\left( x \right)

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f: R \rightarrow R

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f(x)=x^4

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f(x)=(x+1)^2-1(x \geq-1)

. Then the set

S=\left\{x: f(x)=f^{-1}(x)\right\}

contains