Question # 1

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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Which of the following is a scalar.

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electric field

magnetic field

weight

mass

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1

-1

5

2

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1

2

3

4

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If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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Right angled

Obtuse angled

Isosceles

Equilateral

The graph of linear equation 2x + 3y = 10

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Parabola

Circle

Hyperbola

Straight line

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-2x³

2x^-3

-2x^-3

2x³

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0

-1

1

2

Cos-1 (-x) =

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-x

1/x

tan-1 x

π-cos-1 x

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

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a >b ⇒a +c >b +c is known as

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Trichotomy property

Additive property of inequality

Transitive property

Multiplicative property

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-8

8

8i

32

Which of the following ordered pair is a solution of the inequality x+2y<6?

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(2,3)

(2,2)

(6,0)

(1,1)

The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

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37m

97m

101m

70m

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I quadrant

II quadrant

III quadrant

IV quadrant

The number of combinations of 10 different objects taken 8 objects at a time is

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90

45

55

50

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

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15/6

15/4

10/4

10/3

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

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c = 0

c = -1

c = -2

c = 1

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a f(x) + c

f(x) + a

The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

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1.2%

1.5%

0.16%

100.16%

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all

The exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

Number of conics is

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1

3

2

4

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