Question # 1

If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is

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Obtuse

Acute

Right angle

Isosceles

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z is purely imaginary

a is any complex number

z is real

None of these

If f(√x)=sin x , then f′(x) =______;

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2xcosx2

cosx2

cos√x

None of these

The value of the expression 3 cosθ+ 4 sinθθlie between

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-7 and 7

-25 and 25

-1 and 1

-5 and 5

The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

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0

1

-1

None of these

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square root function

identity function

linear function

quadratic function

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

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Rational number is a number which can be written as a terminating decimal fraction or a

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Non-terminating decimal fraction

Non-recurring

Recurring decimal fraction

a, b and c

What is the 26th term of the sequence, if its general term is a_{n = (-1)}ⁿ⁺¹

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2

26

27

1

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a sec(ax + b) + c

- a sec(ax + b) + c

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The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

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0

1

Which of the following is a vector.

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distance

temperature

energy

acceleration

The set of all positive even integers is

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Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

If in a set of real no a is additive identity then

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a+a = 2a

a+a = 1

a+a = 0

None of these

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

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b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

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If a,b,c are unit vectors then |a + b|2 +|a - b|2

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4

8ab

9cos

4(a,b)

The general equation of a circle is

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The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

2cos2 a/2 =______;

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1+sina

1-sina

1+cosa

1-cosa

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Singleton set

A set with two points

Empty set

None of these

A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

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In(x²- x + 1) + c

In(2x - 1) + c

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