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

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2x

3x²

1

0

i⁹ =

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i²

-1

1

i

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

Sin h^-1x = _________

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a sin(ax + b) + c

- a sin(ax + b) + c

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Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

The additive inverse of 2/3 is

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3/2

-2/3

-3/2

0

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0

20

90

80

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1/8

1/2

1/4

1/6

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n(n-1)(2n-1), for all natural numbers n, is divisible by

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12

6

2

18

The mid point of the line segment joining the points A(-8,3) and B(2,-1) is

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(-3,1)

(-6,2)

(5,2)

(-5,2)

The number of x-intercepts of y= sin x in his period

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0

1

2

3

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A tower subtends an angle of 30° at a point distant d from the foot of the tower and on the same level as the foot of the tower. At a second point, h vertically above the firs, the angle of depression of the foot of the tower, is 60°. The height of the tower is

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h/3

h/3d

3h

3h / d

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

When we expand (a + 2b)⁵then

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a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

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θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

Tan(α-β)=

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The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

An open sentences formed by using the sign of equality '=' is called ______

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An identity

An equation

A polynomial

None of these

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A non-homogeneous linear system AX = B has no solution if

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|A| = 0

|A|≠ 0

Rank (a) = no of variables

Rank > no of variables

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

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The value of x and y when (x + iy)2 = 5 - 4i

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x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

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