Question # 1

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (-1,-2) the

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d₁< d₂

d₁> d₂

d₁= d₂

none of these

The greatest term in the expansion of (3+2x)⁹, when x=1 is

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4th

4th and 5th

5th

6th

Sin^-1(-x)=

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Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

(0,1) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 5

x -2y < -5

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all are correct

For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

None of these

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- cos x

sin x

- sin x

sec x

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Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

What is the period of 5 cot x=?

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π

-π

π/2

2π

For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

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

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

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 Cosα = 3/5, Cosβ = 5/13, then

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Cos(α +β) =33/65

Sin(α +β) =56/65

sin²(α +β/2) =1/65

Cos(α +β) =63/65

The set (Z, +) forms a group

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Function on B

Range

Domain

A into B

A fraction in which the degree of the numerator is less than the degree of the denominator is called

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1-i √-3 / 2

-1+i √-3 / 2i

-1+i √3 / 2

1+i √3 / 2

The set of all positive even integers is

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Φ

{1,2,3}

{Φ}

{0}

In 30,60,90 triangle if the smallest side is 6 than the side opposite to the angle of 60^o is

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12

3

6√3

6

Sec^-1 x=

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Cos^-1 1/x

Cosec^-1 1/x

Cos-1 (-x)

Tan^-1 x

A die is thrown what is the probability that there is a prime number on the top?

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1/2

1/3

1/6

2/3

F(x) = xx decreases in the interval

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(0,e)

(0.1)

(-∞.0)

None

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