Question # 1

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

The distance of the points (3, 4, 5) from y-axis is

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none of these

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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2, 3

3, 3

2, 6

2, 4

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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

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

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a²+ b²=5

a = 5

b = 5

The point (x₁, y₁) lies outside the circle x²+ y²+ 2gx + 2fy + c =0 if

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The equation of the tangent at vertex to the parabola is y2 = -8(x -3)

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y=0

x=3

x=1

x=5

The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3

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5,3

5,-3

5,0

10,0

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0

-1

1

not defined

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additive property

multiplicative property

additive inverse

additive identity

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

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5 / 12

3 / 8

5 / 8

7 / 4

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If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to

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n!

ann!

0

an

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

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- x

Infinite set

Φ

{-4,4}

How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

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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

If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

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

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P is on the circle

P is inside the circle

P is outside the circle

none of these

If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______

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-1

1

-4

4

∀a,b, c ε R,a +c = b + c = > a = b

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

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