Question # 1

1 + 2 + 3 + ...... + n = ______

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The standard parabolic form of the equation f(x) = x² +4 x +1 is

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x(x+4)+1

(x+2)²-3

(x+4)³ + 9

x(x-2)²+1

The centre fo the circle x²+ y²+ 12x -10 = 0 is

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(12, -10)

(6, -5)

(-12, 10)

(-6, 5)

A square matrix A for which A^t= -A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

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The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

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A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

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57𝜊

-48𝜊

27𝜊

53𝜊

The period of sin x/2 = Cos x/3 is

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2p

12p

13p

7p

If ax²+ bx + x = 0 is satisfied by every value of x, then

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b = 0, c = 0

c = 0

b = 0

a = b = c = 0

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8

9

10

11

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0

1

-1

None of these

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perpendicular vectors

concurrent vectors

parallel vectors

none of these

cos(a +β)-cos(a-β) = _______;

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2cosa cosβ

2sina cosβ

-25 in a cosβ

-2sin a sinβ

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quadrant I

quadrant II

quadrant III

quadrant IV

If a > 0 they parabola y2 =-4ax lies in

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I and iv quadrant

I quadrant

II and III quadrant

All are incorrect

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y/x

x/y

y/z

None

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

The roots of (b-c)x2+(c-a) x+a-b=0 are equal if

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2b = a+c

2a = b+c

2c = a+b

a + b + c =0

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

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100x ⁹⁹

100x ¹⁰¹

-99x ⁹⁹

-100x ¹⁰¹

If sinθand cosθare the roots of the equation ax²- bx + c = 0, then a, b, c satisfy the relation

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b²- a²= 2ac

A²- b²= 2ac

A²+ b²= c²

B²+ a²= 2ac

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The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

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BA

A²

AB

B²

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

Sin h^-1x = _________

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The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

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