Question # 1

For any positive integer n

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ABn = Bn A ⇔ AB = BA

ABn = Bn A⇔ A,B are square matrices and AB = BA

ABn = BnA⇔ A + B

ABn = BnA ⇔ A and B are square matries

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

The radius of the circle 2x²+ 2y²- 4x + 12 y+11=0 is:

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√4.5

√11

√29

√15

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-1

0

1

undefined

If f(x) = tan x then f(0) is

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0

1

1/2

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0

90°

180°

360°

Parametric equation of circle : x²+y²+r², are

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r1 = x cos𝜽 r² = y sin𝜽

x = r cos𝜽 y = r sin𝜽

x = r sin𝜽1 y = r sin𝜽2

x = r₁ cos𝜽 y = r_{2 sin𝜽}

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none of these

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

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Addition

Subtraction

Multiplication

None of these

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sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

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(1, 2) is in the solution of the inequality

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

The expansion (1 + x)^-3holds when

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|x| > 1

|x| < 1

x < 1

x > 1

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

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The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

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1,2

-1,-2

2,-1

-2,1

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Orthogonal

Involutary

Idempotent

Nilpotent

A fixed point which lies on the axis of the cone is called its:

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axis

apex

plane

diameter

The differential equations of all conis whose axes coincide with the co-ordinate axis is

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Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

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The centre of the circle x2+y2 -2fx-2gy+x=0 is

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(-g,-f)

(g,f)

(f,g)

(-f,-g)

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sec 3x + c

- cosec 3x + c

The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is

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3

2

1

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

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0.4cm

8.8πcm

17.6 πcm

35.2πcm

The inclination of a line parallel to y-axis is

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