Question # 1

The point of concurrency of the angle bisectors of a triangle is called

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incentre

circumcentre

e-centre

centroid

Domain of 2 cos x is ______

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[-2, 2]

R

Negative real numbers

None of these

What is the value of cos-1(1/2)?

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π/3

π/4

3π/2

π/6

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Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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-1

0

1

None of these

A triangle has six

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side

elements

angle

tangents

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I quadrant

II quadrant

III quadrant

IV quadrant

If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______

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-1

1

-4

4

i =

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The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is

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70 m

85 m

35 m

None of these

O is ______

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A positive integer

A negative integer

A natural number

An integer

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n if n is even

0 for any natural number n

1 if in odd

None of these

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

1 degree = _______

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0.00175 rad

0.175 rad

0.0175 rad

1.75 rad

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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)

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The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

If z=(x,y) then z has no multiplicative inverse when

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x ≠ 0, y = 0

x = 0, y = 0

x = 0, y ≠ 0

None of these

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Improper rational fraction

Proper rational fraction

Polynomial

Equation

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

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Two similar regions

Two disjoint regions

Four equal parts

One region

For all points (x,y) in fourth quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

Which of the vectors have opposite direction?

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A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

Which of the following is a vector.

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distance

temperature

energy

acceleration

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

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