Question # 1

The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is

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x+ y+ 1= 0

x+ y- 2= 0

x+ y+ 2= 0

2x +y +2 =0

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The value of the expression 3 cosθ+ 4 sinθθlie between

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-7 and 7

-25 and 25

-1 and 1

-5 and 5

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

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y/x

x/y

y/z

None

The point of concurrency of the angle bisectors of a triangle is called

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incentre

circumcentre

e-centre

centroid

If 0 = {1,3,5.......}, then n (0) =

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99

odd integers

Even numbers

Infinite

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

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

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The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

Area of the circle with ends of a diameter at (-3,2) and (5,-6)

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128π sq. units

64π sq. units

32π sq.units

None of these

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1/8

1/2

1/4

1/6

The greatest term in the expansion of (3+2x)⁹, when x=1 is

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4th

4th and 5th

5th

6th

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

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1

-1

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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The point where the axis meets the parabola is called

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Directrix

Foucu

Chord

Vertix

The set of the first elements of the orders pairs forming a relations is called its

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Relation in B

Range

Domain

Relation in A

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0

1

-1

none of these

If a^x= b^y= c^zand a, b, c are in G.P. then x, y, z are in

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A.P.

G.P.

H.P.

None of these

The equation of the directrix of the parabola x²= 4ay is

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x + a = 0

x - a = 0

y + a = 0

y - a = 0

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

i² =

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1

2

-1

0

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The square of the distance between two points P(x₁, y₁) and Q(x₂, y₂) is

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1

0

-2

3

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a₁+ a₂

a²₁+ a²₂

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

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