Question # 1

Which of the following is not defined?

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Arcsin 1/9

ArcCos (-4/3)

Arctan 11/12

Arccot (-4)

The number of ways in which we can courier 5 packets to 10 cities is

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2 x 5^o

5¹⁰

10⁵

2¹⁰

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

If the sum of the roots of (a + 1)x² + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is

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Commutative law w.r.t multiplication

Associative law w.r.t addition

Distributive law w.r.t addition

Multiplication of a scalar with the matrix

If x < y, 2x = A and 2y = B then

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A =B

A < B

A< X

B < y

If i,m,n are the direction cosines of a vector O̅P̅ then

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I² + m² + n² =0

I² - m² + n² =1

I² + m² + n² =1

I² + m² - n² =0

If 0 is not an integral multiple of π/2 then Cot⁴ θ+ Cot² θ=?

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Cosec⁴ θ -Cosec²θ

Tan θ - Tan² θ

Cosec² θ + Cosec θ

Sinθ Cosθ

If the order of A is n x m. Then order of kA is

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

ωⁿ = ?, when n = 3k

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0

ω

1

1 / ω

Sin(a + b) + Sin(a- b) =

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Sin a Cos b

Sin a Sin b

Sin a + Cos b

Sin a - 2Cos b

The line through the center and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

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