Question # 1

(1+w)(1+w2)(1+w4)(1+w8)....50 factors

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0

-1

1

2

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0

1

2

4

Sum of all the four forth roots of unity is

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1

-1

i

0

The domain of the principle sine function is

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If a polynomial P(x) is divided by x - a, then the remainder is

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P(o)

P(-a)

P(a)

None of these

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H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

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15/6

15/4

10/4

10/3

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A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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Closure law of addition

Closure law of multiplication

Commutative law of addition

Commutative law of multiplication

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Set of whole number

Rational Numbers

Complex numbers

Whole numbers

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

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A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is

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32

16

18

8

In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are

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6, 10

-6, -10

8, 8

-8, -8

The position vector of the point P(a, b, c) is

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5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

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Associative property of addition

Associative property of multiplication

Additive identity

Multiplicative identity

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The additive inverse of 1 is

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1

-1

0

Does not exist

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

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Periodic

Surjective

Bijective

Injective

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1 / 2

1 / 3

1 / 4

None of these

A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

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2x cos x2

2sinxcosx

- sin x2

2x sin x2

Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

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π / 3

π / 4

π / 2

π

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