Question # 1

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

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The law of sines

The law of cosines

The law of tangents

The fundamental law

Inverse of an element in a group is:

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infinite

finite

unique

not possible

cos(tan^-1∞) =

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0

∞

1

Arithmetic series is only possible if:

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|d| = 1

|d| < 1

|d| > 1

none

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the product P(x) . Q(x) will be a polynomial of degree:

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m . n

m - n

m + n

m × n

A circle which touches one side of a triangle externally and the other two produces sides internally is known as:

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In triangle ABC, if α = 90° then:

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none of these

The identity element in a group is:

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unique

inifinite

both a and b

not possible

5x² + 8x + 3 = 0 is:

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cos^-1 (-x) =

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π + cos^-1 x

π - cos^-1x

π + sin^-1x

π - sin^-1x

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none of these

Factors of x² + y² are:

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(x + iy) (x - iy)

(x + y) (x - y)

(x + y) (x + y)

none

The period of cos 2x is:

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If z₁ = 4i and z₂ = 3 - 9i, then z₁ + z₂ =

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3 - 5i

3i - 5

7 - 9i

3 + 5i

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In a triangle ABC, (s - a)(s - b) = s(s - c), then the angle Γ =

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cos x

sec x

If an angle α is allied to an angle ß, then α ± ß = __________:

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90°

multiple of 90°

180°

multiple of 180°

A set containing finite number of elements is called:

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nullset

superset

finiteset

infiniteset

The area of a sector of a circular region of radius r with length of the arc of the sector equal to s is-----------:

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rΘ

rs

No. of diagonals can be formed by joining the vertices of the polygon having 5 sides ?

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5

15

51

10

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