Question # 1

If x-2 and x-1 both are factors of x³-3x³+2x-4p, then P must equal to

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1

2

0

-2

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?

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460

495

272

60

The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is

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x+ y+ 1= 0

x+ y- 2= 0

x+ y+ 2= 0

2x +y +2 =0

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

The order axioms are satisfied by set of

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C

C and R

R

None of these

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The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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The period of 2 cos x is

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30π

7π

5π

2π

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

If (1+x)ⁿ=C₀+ C₁x +C₂x²+ ......+C_nx¹then C₀C₂+ C₁C₃+ C₂C₄+ .....+C_n-2C_n=

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The number of terms in the expansion of (a + b)⁹is

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10

11

9

12

The circle (x - 2)²+ (y + 3)²= 4 is not concentric with the circle

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(x - 2)²+ (y + 3)²= 9

(x + 2)²+ (y - 3)²= 4

(x + 2)²+ (y - 3)²= 8

(x - 2)²+ (y + 3)²= 5

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For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

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The set of points {(x,y)|y = f(x),∀x∈} is called

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Relation

Graph of f

Function

All are correct

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0

1

The coefficient of xn in the expansion of (1-2x)-1 is

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(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

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The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if

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The condition for polynomial equation ax²+ bx + c = 0 to be quadratic is

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If f(x) = tan x then f(0) is

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0

1

1/2

The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

A key ring is an example of

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Permutation

Circular permutation

Combination

None

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3/4

-3/4

4/3

-4/3

If |a x b|2 + (a,b)2 = _____

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|a|2 + |b|2

|a|2- |b|2

|a|2|b|2

None

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none of these

The equation ax²+ 2hxy + by²+2gx + 2fy + c =0 represents an ellipse if

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