Question # 1

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A.M between 1 + x - x² and 1 + x + x² is:

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1 + x²

1 + x

2

none

No. of triangles can be formed by joining the vertices of the polygon having 12 sides ?

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202

220

110

none of these

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If each element of a 3 × 3 matrix A is multiplied by 3, then the determinant of the resulting matrix is:

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|A|³

27|A|

3|A|

9|A|

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sin x

cosec x

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tan x

cot x

Product of a complex number and its conjugate is:

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a real number

irrationalnumber

a complexnumber

either real number or complexnumber

The reciprocal of the terms of A.P. form:

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A.P

G.P

H.P

none of these

A^-1 exists if A is:

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singular

nonsingular

symmetric

none

If, for all x in the domain of f, there exists a smallest positive number p such that f (x+p) = f(x), then p is the:

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period of f

period of 2f

period of 3 f

period of 4 f

The period of 2 + cos 3x is:

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If a statement P(n) is true for n = 1 and truth of P(n) for n = k implies the truth of P(n) for n = k + 1, then P(n) is true for all:

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integers n

real numbers n

positive real numbers n

positive integers n

5x² + 8x + 3 = 0 is:

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If tan Θ > 0 and sin Θ < 0 then terminal arm of the angle lies in quadrant:

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I

II

III

IV

In binomial expansion of (a+b)ⁿ, n is positive integer the sum of odd coefficients equals:

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none of these

The real part of the complex number a + bi is:

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b

-b

a

-a

The period of sec x is:

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No. of ways of solving a quadratic equation:

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1

3

2

4

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1

-1

-6

6

The amplitude and period of 3 sin x are:

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3, π

2, 2π

3, 3π

3, 2π

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Mathematics FA Part 1 Online Test MCQs With Answers

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