Question # 1

If sinθand cosθare the roots of the equation ax²- bx + c = 0, then a, b, c satisfy the relation

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b²- a²= 2ac

A²- b²= 2ac

A²+ b²= c²

B²+ a²= 2ac

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

For all points (x,y) in first quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

The third term in the expansion of (1+2x) is

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-2x2

-4x2

2x2

4x2

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The sum of co-efficient in (1+x-3x²)⁴¹⁶³is

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0

1

-1

None

The angle between lines xy =0 is

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45°

60°

90°

180°

Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

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real number

complex number

rational number

irrational number

The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

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For all points (x,y) on x-axis

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x is positive

x is negative

y = 0

y is negative

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cosθ/2=

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Additive inverse of -a -b is

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a

-a + b

a - b

a + b

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The law of sines

The law of consines

The law of tangents

None of these

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The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is

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y = x

y = x - 1

y = x + 1

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2

-1

8

not defined

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8

9

10

11

The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is

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A parabola

A circle

An ellipse

A st. line

Period of cot x is ______

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none of these

The tangents drawn from the point P to a circle are real and distinct if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

The law of sines can be used to solve oblique triangle when following information is given:

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Two angles and a side

Two sides and an angle opposite one of the given sides

Two sides and the angle between two sided

Option a and b

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-1

0

1

Undefined

sin(a + β)+sin(a -β) =_____;

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2cosa cosβ

2sina cosβ

2cosa sinβ

-2sina sinβ

Which of the following is a vector.

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distance

temperature

energy

acceleration

The line through the focus and perpendicular to the directrix is called ______ of the parabola

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axis

focal chord

tangent

latus rectum

The number of proper subset of A ={a.b.c.d} is

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3

6

8

15

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