Question # 1

Roots of the equation 9x²- 12x + 4 = 0 are

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Real and equal

Real and distinct

Complex

None of these

If ax²+ bx + x = 0 is satisfied by every value of x, then

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b = 0, c = 0

c = 0

b = 0

a = b = c = 0

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

The distance of the point (2,-3) from y-axis is

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2

-3

1

5

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Lies between 4 and 7

Lies between 5 and 9

Has no value between 4 and 7

Has no value between 5 and 9

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3

1

4

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of above

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0

-1

1

1/2

Roots of the equation x²- 7x + 10 = 0 are

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{2, 5}

{-2, 5}

{2,5}

{-2,-5}

The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is

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191

193

211

None of these

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

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Domain of cot x is ______

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A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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2

1

5

0

Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

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Three points whose position vector a,b,c are collinear

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axb +b x c+ c x a = 0

a,b +b,c +c,a =0

a,|a xc| =0

a+b+c =0

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tan 3x + c

cot 3x + c

- cot 3x + c

45° = ______

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If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;

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Elevation

Depression

Right angle

None off these

The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a

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Square

Rhombus

Rectangle

Parallelogram

ⁿC₂= exists when n is ______

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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

Which one represents a sequence

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an

Sn

a(n)

{an}

(51)⁴is equal to

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7065201

8065201

6765201

6565201

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

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-1

0

1

None of these

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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