Question # 1

(a+bi) - (c+di)=

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(a+b) = (c+d)

(a+c) + i(b+d)

(a - c) + (c- d)i

(a - c)+ (b - d)i

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Addition

Subtraction

Multiplication

None of these

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No solution

One real solution

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Infinite set

Singleton set

Two points set

Empty set

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The law of sines

The law of consines

The law of tangents

None of these

The equation of the circle with centre (h, k) and radius r is

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(x+ h)²+ (y+ k)²= r²

(x+ h)²+ (y - k)²= r²

(x - h)²+ (y+ k)²= r²

(x - h)²+ (y - k)²= r²

A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is

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A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

Rank of matrix [1 3 5 0] is

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1

3

2

4

{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

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images

pre-images

constants

none of these

If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is

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8

12

10

14

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∫x/Sin² x dx is equal to:

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x cot x + ln|sin⁡x |

-x cot x - ln|sin⁡x |

x cot x - ln|sin⁡x |

x. tan x- ln|sec⁡x |

6! = ______

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360

720

6.5.4

None of these

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

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0

1

2

1/2

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

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2,2,2

3,3,3

2,2,4

2,3,4

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x²+ 2x + c

(x²+ 2x -1)⁴+ c

The first three terms in the expansion of (1 + x)³are

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1 + 3x +6x²

1- 3x + 6x²\

-3 -3x -6x²

1- 3x -6x²

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

If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

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cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

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A prime number

An integer

A whole number

An irrational number

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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