Question # 1

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

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(1,4)

(4,2)

(3,1)

(4,1)

If 0 = {1,3,5.......}, then n (0) =

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99

odd integers

Even numbers

Infinite

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

What is the period of 5 cot x=?

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π

-π

π/2

2π

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A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

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

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30°

45°

60°

90°

Which of the following is skew symmetric matrix

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Range of cosecθis

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W - {y | -1 < y < 1}

R - {y | -1 < y < 1}

O - {y | -1 < y < 1}

R

Domain of cos x is ______

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The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

If all members of a sequence are real numbers then it is called a

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Series

Function

Real sequence

Range

The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

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60𝜊

40𝜊

41𝜊

30𝜊

x = 1 is in the solution of the inequality

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x + 1 > 0

x - 2 > 0

3x - 1 < 0

x + 2 < 0

Domain of sin x is ______

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An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is

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Straight line

Circle

Hyperbola

Symmetric w.r.t.0

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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12

13

14

15

1⁰= ______

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1.5 rad

0.5 rad

0.175 rad

None of these

ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

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The solution set of the equation 1 + Cos x = 0 is __________

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none of these

For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

None of these

G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

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Square matrix

Row matrix

Symmetric matrix

Null matrix

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