Question # 1

If the sum of even coefficients in the expansion of (1+x)n is 128 then

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n=7

n=9

n=8

None

If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is

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Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

The parabolay2=4ax open up if

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a<0

a≠0

a>0

All are incorrect

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

Domain of sin x is ______

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The position vector of a point (x, y) in xy plane is

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none of these

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

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

Sin -1 x=

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sin(π/2-x)

Sin-1 (π/2-x)

π/2-cos-1x

π/2 + cos-1x

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

If Z = (1,2), then Z^-1 =?

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(0.2, 0.4)

(-0.2 ,0.4)

(0.2,-0.4)

(-0.2,-0.4)

If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

(1 + 2x)⁴= ______

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1 + 4x + 6x²+ 4x³+ x⁴

1 - 4x + 6x²- 4x³+ x⁴

1 - 8x + 24x²- 32x³+ 16x⁴

1 + 8x+ 24x²+ 32x³+ 16x⁴

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30°

45°

60°

75°

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direction ratios

direction cosines

direction angles

none of these

The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

The physical quantity which can be specified by a number alongwith unit is called a

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scalar

vector

constant

none of these

Let A and B be two sets. If every element of A is also an element of B then

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(2x4)

(2x7)

(2x3)

(7x2)

The mid point of the line segment joining the points A(-8,3) and B(2,-1) is

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(-3,1)

(-6,2)

(5,2)

(-5,2)

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0

-1

1

Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

In R, the additive inverse of a is

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0

1

-a

1/a

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The third term of a G.P. is 4, The product of first five terms is

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43

45

46

None of these

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-1

0

1

None of these

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