Question # 1

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

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√5

√7

-1-2i

√3

The range of the principal sine function is

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The system of measurement in which the angle is measured in degrees, minutes and seconds is called the

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circular system

CGS system

sexagesimal system

none of these

The minimum value of the quadratic function f(x) = x2 +6x -2, is

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11

6

-11

13

The points (x, y) which satisfy a linear inequality in two variables x and y from its

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domain

range

solution

none of these

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16

256

64

1024

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The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is

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2

1

0

None of these

If x,y are two -ve distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

The law of consines is

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The points of intersection of the line y = 2x -3 and the circle x²+ y² - 3x =2y -3 = 0 are:

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two

three

less thean two

not intersect

tan 294° =______;

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tan 24°

-tan 24°

cot 24°

-cot 24°

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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x⁴- 3x³+ 3x + 1 = 0 is called ______

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Reciprocal equation

Exponential equation

Radical equation

None of these

If distance of (a,b) from origin is 5 then

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a²+ b²=5

a = 5

b = 5

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

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0

1

-1

undefined

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If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

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The parabolay2=4ax open up if

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a<0

a≠0

a>0

All are incorrect

x =r cosθ,y= sinθ are the parametric equations of

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Circle

Ellipse

Parabola

Hyoerbola

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

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x = 3

x = 1/5

x = 0

None of these

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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If a is any real number and a = a is called

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symmetric property

Trichotomy Properties

Transitive Property

Reflexive Properties

The position vector of a point (x, y) in xy plane is

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none of these

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

i² =

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1

2

-1

0

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