NIMCET 2022 Previous Year Question Paper and Solution with PDF

NIMCET Previous Year Questions (PYQs) – 2022 – Page 1 of 12

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Previous Year Questions

Qus : 1

Inverse of the function

f (x) = \frac{10^{x} - 10^{- x}}{10^{x} + 10^{- x}}

Video Solution Discussion

Qus : 2

Let

\vec{a}, \vec{b}, \vec{c}

be distinct non-negative numbers. If the vectors

a \hat{i} + a \hat{j} + c \hat{k}

\hat{i} + \hat{k}

and

c \hat{i} + c \hat{j} + b \hat{k}

lie in a plane, then c is

Video Solution Discussion

Qus : 3

The correct expression for

c o s^{- 1} (- x)

Video Solution Discussion

Qus : 4

Suppose that the temperature at a point (x,y), on a metal plate is

T (x, y) = 4 x^{2} - 4 x y + y^{2}

, An ant, walking on the plate, traverses a circle of radius 5 centered at the origin. What is the highest temperature encountered by the ant?

Video Solution Discussion

Qus : 5

The 10th and 50th percentiles of the observation 32, 49, 23, 29, 118 respectively are

Video Solution Discussion

Qus : 6

Angles of elevation of the top of a tower from three points (collinear) A, B and C on a road leading to the foot of the tower are 30°, 45° and 60° respectively. The ratio of AB and BC is

Video Solution Discussion

Qus : 7

If the foci of the ellipse

\frac{x^{2}}{25} + \frac{y^{2}}{b^{2}} = 1

and the hyperbola

\frac{x^{2}}{144} - \frac{y^{2}}{81} = \frac{1}{25}

are coincide, then the value of

b^{2}

Video Solution Discussion

Qus : 8

A particle is at rest at the origin. It moves along the x −axis with an acceleration

x - x^{2}

, where x is the distance of the particle at time t. The particle next comes to rest after it has covered a distance

Video Solution Discussion

Qus : 9

a < b

then

\int_{a}^{b} (| x - a | + | x - b |) d x

is equal to

Video Solution Discussion

Qus : 10

The domain of the function

f (x) = \frac{\cos^{- 1} x}{[x]}

Video Solution Discussion

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