Question # 1

The distance s of a particle in time t is given by s = t³- 6t²- 4t - 8. Its acceleration vanishes at t =

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1

2

3

4

In-radius is denoted by

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r

η

r2

R

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0

20

90

80

Two circle x² + y²+2x - 8 = 0 and x² + y² -6 + 6x -46 =0:

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touch internally

do not intersect

touch externally

None of these

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

The minimum value of the quadratic function f(x) = 5 x 2-11,is

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7

-7

6

-11

Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then

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α = β

αβ = 1

α = β

α = 1

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none of these

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The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

A point of a solution region where two of its boundary lines intersect, is called

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Boundary

Inequality

Half plane

Vertex

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