Question # 1

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0

1

-1

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System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

Which of the following is not a unit vector

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[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

[1, 0, 0]

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0

3

9

-3

For the parabola the line through focus and perpendicular to the directrix is called

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Tangent

Vertex

Axis

None

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

The coefficient of the third term of (8a-b)^1/3, after simplification is

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-228

1/288

1/220

-1/177

The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is

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50 cm/sec

60 cm/sec

61 cm/sec

None of these

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1

2

3

4

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The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

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12m

21m

17m

15m

If x = 1/x for x ∈ R then the value of x is

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±1

0

2

4

If n is a negative integer n! is

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1

0

Unique

Not defined

Cos-1 (-x) =

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-x

1/x

tan-1 x

π-cos-1 x

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

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If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

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The set of points {(x,y)|y = f(x),∀x∈} is called

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Relation

Graph of f

Function

All are correct

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a sec(ax + b) + c

- a sec(ax + b) + c

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The number of triplets (x, y, z) satisfying sin^-1x +cos^-1y + sin^-1z = 2π is

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0

2

1

Infinite

4^1+x+ 4^1-x= 10 is called

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Reciprocal equation

Exponential equation

Radical equation

None of these

If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

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360°

180°

90°

None of these

The general solution of tan 3x = 1 is

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x = ________ is in the solution of 2x - 5 > 0

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0

2

-2

3

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