Question # 1

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

Sum of n terms of a geometric series if | r | < 1 is

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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)

The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if

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a≠ b,h≠0

a=b

h≠0

h=0

The first three terms in the expansion of (1 + x)^-2are ______

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

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none of these

If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

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The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is

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12^𝜊

9^𝜊

7^𝜊

-120^𝜊

1 + 2 + 3 + ...... + n = ______

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f(x) = C is

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identity function

constant function

linear function

quadratic function

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5

-5

none

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A rational number

An irrational number

An odd number

A prime number

A point of a solution region where two of its boundary lines intersect, is called

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Boundary

Inequality

Half plane

Vertex

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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

Which of the following integrals can be evaluated

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xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

Fundamental law is

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1

2

-2

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

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Which of the following is not a unit vector

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[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

[1, 0, 0]

sin(π/2+θ) = _______;

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sinθ

cosθ

-sinθ

-cosθ

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Number of ways of writing the letters of WORD taken all at a time is

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24

4

12

6

Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

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