Question # 1

If cosec Θ > 0 and cot Θ < 0, then terminal arm of the angle lies in:

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I

II

III

IV

If the initial side of an angle is the positive x-axis and the vertex is at the origin, the angle is said to be in the _____________:

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initial position

finalposition

normalposition

standardposition

-2 sin α sin ß =

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sin (α + ß) + sin (α - ß)

cos (α + ß) + cos (α - ß)

cos (α + ß) - cos (α - ß)

cos (α - ß) + cos (α - ß)

If there are six G.Ms between 3 and 284 then G₄ =

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24

48

12

6

Equations having a common solution are called:

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linear

quadratic

homogeneous

simultenaeous

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archimedean property

transitive property

multiplicative property

To convert any angle in radians into degrees, we multiply the measure by:

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3^2x - 3^x - 6 = 0 is:

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reciprocal equation

exponentialequation

radicalequation

none of these

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5

-5

-4

4

Conjugate of a + i b is:

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-a + ib

a + ib

-a - ib

a - ib

If α, ß are the roots of x² + kx + 12=0 such that α-ß = 1 then K = :

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0

±5

±7

±15

If a matrix A is symmetric as well as skew symmetric, then:

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A is null matrix

A is unit matrix

A is triangular matrix

A is diagonal matrix

sec (2π + Θ), where Θ is a basic angle will have terminal side in:

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quad. I

quad. II

quad. III

quad. IV

No. of arrangements of the letters of the word plane taking all letters at a time:

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5

1

none

If a set is described by listing its elements within brackets is called:

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set builder notation

tabular form

descriptive method

none of these

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x = 0

y = 0

x = 0 and y = 0

x = 0 or y = 0

If any two rows of a square matrix are interchanged, the determinant of the resulting matrix:

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is zero

is multiplicative inverse of the determinant of the original matrix

is additive inverse of the determinant the original matrix

none of these

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the quotient P(x) + Q(x) will produce a polynomial of degree:

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m . n, plus a quotient

m - n, plus a remainder

m ÷ n, plus a factor

m + n, plus a remainder

y = tan-1 x if and only if x = tan y, where:

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-1 < x < 1 and - π < y < π

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r₁

r₂

r₃

r

The probability that a number selected from the numbers 1, 2, 3, 4, 5, ......, 16 is a prime number is:

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