GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

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Question : 10 of 65

Marks: +1, -0

Select the graph that schematically represents BOTH

y=x^{m}

and

y=x^{1 {/} m}

properly in the interval

0 ≤ x ≤ 1

, for integer values of

m

, where,

m>A

Solution:

Put

m=2

, so

y=x^{2}

and

y=x^{\;{1}/{2}}

And

x=0.5

Y=x^{m}=0.5^{2}=0.25

y=x^{1 {/} m}=0.5^{0.5}=0.707

so

x^{1 {/} m}

will be above than

x^{m}

Satisfy option C.

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