Question # 1

n(n - 1) (n - 2) in factorial form is

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tan 3x + c

cot 3x + c

- cot 3x + c

22.5°=______

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sec x tan x

-cosec x cot x

sec²x

-sin x

1⁰= ______

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A square matrix all of whose elements except the main diagonal are zeros is called a

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Null matrix

Singular matrix

Symmetric matrix

Diagonal matrix

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

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Zero

one

negative constant

Non negative constant

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of these

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

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The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

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Two similar regions

Two disjoint regions

Four equal parts

One region

If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is

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an ellipse

a hyperbola

a circle

a parabola

There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

3x + 4 > 0 is

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equation

identity

inequality

none of these

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sin 2x + c

-sin 2x + c

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The number of the diagonals of a 6 sided figure is

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15

21

9

6

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

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5

10

20

30

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(a + b)c = a . c + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b+ c) = ab + ac

If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then

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k=0

k=1

k=w

k=w2

Two sets A and B are said to be disjoint if

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Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

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100x ⁹⁹

100x ¹⁰¹

-99x ⁹⁹

-100x ¹⁰¹

The area of sector with central angle of 1 radians in a circular region whose radius is 2 m is

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Principle of equality of fractions

Rule for product of fraction

Rule for quotient of fraction

Golden rule of fractions

If 2x^1/3+ 2x^-1/3= 5, then x is equal to

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1 or -1

2 or 1/2

8 or 1/8

4 or 1/4

Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

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q = 0, r = 0,p ≠ 0

p = 0,qr≠ 0

r = 0,pq≠ 0

q = 0, pq≠ 0

Sine rule for a triangle states that

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a/sin A = b/sin B = c/sin C

sin A/a = sin B/b = sin C/c

a/sin A + b/sin B + c/sin C

2a/sin A = 2b/sin B = 2c/sin C

The decimal fraction in which we have finite number of digits in its decimal part is called.

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recurring decimal fraction

Non terminating faction

Non recurring fraction

terminating decimal fraction

Sin 270° = ______

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-1

0

1

Undefined

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sin h x

cos h x

tan h x

cot h x

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

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