Question # 1

The equation x² + y² +2g +2fy + c =0 represents a circle whose centre is :

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(g,f)

(-g,-f)

(2g ,2f)

(-2f ,-2g)

The condition for polynomial equation ax²+ bx + c = 0 to be quadratic is

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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

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

22.5°=______

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A

B

A'

None of these

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

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The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to

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-2

2

3

-1

A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

Cosec 60° = ______

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Distance between A(3, 8), B(5, 6) is

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If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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A.P.

G.P.

H.P.

None of these

If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

sin 3a = ______;

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3sin a - 4sin3a

4sin a -3 sin3 a

3 cos3 a -cosa

4cos3 a - 3cos a

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

The 5th term of (3a-2b)^-1is

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

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None of these

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Find a if 1 is a root of the equation x²+ ax + 2 = 0

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3

-3

2

0

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

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A subset of set of complex number whose elements are of the form (a,0) is called

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Real number

Complex number

Rational number

Irrational number

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)

If all members of a sequence are real numbers then it is called a

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Series

Function

Real sequence

Range

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2

5

7

None of these

Domain of 2 cos x is ______

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[-2, 2]

R

Negative real numbers

None of these

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

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