Question # 1

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0

1

1/2

Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

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If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is

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an ellipse

a hyperbola

a circle

a parabola

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

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3.5

3

4

None of these

If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then

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p = -14

p = -1

p =0

p=12

To each element of a group there corresponds ............. inverse element

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Two

One

No

Three

A square matrix A for which A^t= A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

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(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t to adition

The range of y = cot x = ______

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-∞> y > +∞

-∞> x > +∞

-∞ <y < +∞

None of above

x = _________ is in the solution of 2x + 3 < 0

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0

2

-1

-2

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2 x 2

2 x 3

3 x 2

3 x 3

cos(a +β)-cos(a-β) = _______;

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2cosa cosβ

2sina cosβ

-25 in a cosβ

-2sin a sinβ

w²⁸+ w³⁸= ______

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0

1

w

-1

cot(3π/2 -θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

The area enclosed between the graph y = x²-4x and the x- axis is:

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20/3

41/3

32/3

25/3

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

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a²+ b²=5

a = 5

b = 5

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l²+ m²+ n²= 0

l²- m²+ n²= 1

l²+ m²+ n²= 1

l²+ m²- n²= 0

The minimum value of the quadratic function f(x) = x2 +6x -2, is

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11

6

-11

13

The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

In set builder notation the set {0,1,2,........100} can be written as

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{x / xε B ∧ x ≤ 100}

{x / x ∈ W ∧ x < 101}

{x / x ∈ Z ∧ x < 101}

The set of first 100 whole numbers

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3

1

4

∫x sin xdx is equal to:

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sin x/x + cos x

sin x - cos x/x

x cos x + sin x

- x cos x + sin x

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(x, y)

(kx, y)

(x, ky)

(kx, ky)

f(x) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

i⁹ =

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i²

-1

1

i

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