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CUET PG MCA Previous Year Questions (PYQs)

CUET PG MCA Function PYQ


CUET PG MCA PYQ
Letf $f:[2,\infty)\rightarrow R$ be the function defined by $f(x)=x^2-4x+5$, then the range of $f$





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CUET PG MCA Previous Year PYQCUET PG MCA CUET 2022 PYQ

Solution


CUET PG MCA PYQ
Match List I with List II 
 List - I (Domain) List - II (Range)
A. $$y=\frac{1}{2-\sin 3x}$$I. $$\Bigg{(}1,\frac{7}{3}\Bigg{]}$$
B. $$y=\frac{{x}^2+x+2}{{x}^2+x+1},\, x\in R$$II. $$\Bigg{[}\frac{\pi}{2},\pi\Bigg{)}\cup(\pi,\frac{3\pi}{2}\Bigg{]}$$
C. $$y=\sin x-\cos x$$III. $$\Bigg{[}\frac{1}{3},1\Bigg{]}$$
D. $$y={\cot }^{-1}(-x)-{\tan }^{-1}x+{sec}^{-1}x$$IV. $$[-\sqrt[]{2},\sqrt[]{2}]$$
Choose the correct answer from the options given below:





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CUET PG MCA Previous Year PYQCUET PG MCA CUET 2024 PYQ

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CUET PG MCA PYQ
The function $f(x)=[x]^n$ , integer n>=2 (where [y] is the greatest integer less than or equal to y), is discontinuous at all point of





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CUET PG MCA Previous Year PYQCUET PG MCA CUET 2024 PYQ

Solution


CUET PG MCA PYQ
Match List – I with List – II
 List - I List - II 
$f(0)$
 (A)  $f(x)=\frac{log(1+4x)}{x}$(I) $\frac{1}{4}$
(B) $f(x)=\frac{log(4+x)-log4}{x}$(II) 1 
(C) $f(x)=\frac{x}{sinx}$(III) 4 
(D) $\frac{1-cos^3x}{x sin2x}$(IV) $\frac{3}{4}$
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CUET PG MCA Previous Year PYQCUET PG MCA CUET 2024 PYQ

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