Question # 1

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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16 / 7

6 / 17

7 / 16

None of these

The sum of the roots of the equation x2 -6x +2 = 0 is

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-6

2

-2

6

The mid point of the line segment joining the points (a,b) and (b,a) is

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The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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Addition

Multiplication

Division

Both addition and multiplication

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP²+ CQ²+ CR²+ CS²=

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r²

2 r²

3 r²

4 r²

If aand bare two vectors then a+b =

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b + a

b - a

ab

a^ b

2π+θwill have terminal side in Quad

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I

II

III

IV

x = ________ is in the solution of 2x + 3 > 0

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1

-2

-3

-4

The law of cosines reduces to a2 +c2 =b2 for

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α = 90°

β = 90°

γ = 90°

α +β +γ =180°

Range of cot x is ______

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[-1, 1]

R

Negative real numbers

R - {x | - 1 < x < 1}

The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is

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(-3,10)

(-3,-10)

(3,10)

(3,-10)

Which of the following us a scalar

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displacement

velocity

acceleration

density

How many arrangements of the letters of the word ADDING can be made

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If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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In any triangle ABC,with usual notationαsinβ =____;

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b sinα

bsinβ

αsinα

None of these

(a +bi) -c (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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range of f

domain of f

both (a) and (b)

none of these

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A function F(x) is called even if

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F(x) = F (-x)

F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

The vector i = [1,0] is called unit vector along:

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x-axis

y - axis

z- axis

Botha a and y-axis

If a > 0 they parabola y2 =-4ax lies in

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I and iv quadrant

I quadrant

II and III quadrant

All are incorrect

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

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Associative property of addition

Associative property of multiplication

Additive identity

Multiplicative identity

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2x cos x2

2sinxcosx

- sin x2

2x sin x2

A fixed point which lies on the axis of the cone is called its:

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axis

apex

plane

diameter

A chord passing through the centre of the circle is called

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the secant of the circle

the tangent of the circle

the arc of the circle

the diameter of the circle

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

If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length

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|u+v|

|u|+|v|

|u-v|

|u|-|v|

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

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i is equal

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(1 , 0)

(0 , 1)

(1 , 1)

(0 , 0)

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