Question # 1

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quadrant I

quadrant II

quadrant III

quadrant IV

If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

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30^ο

35^ο

45^ο

60^ο

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an A.P.

a G.P.

a H.P.

None of these

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

If the st. line 3x + 4y = K touches the circle x²+ y²- 10x = 0 then the value of K is

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-1 or 20

-10 or 40

-2 or 20

2 or 20

If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder

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7

-2

6

1

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7

5

6

None of these

The interval in which f(x)=x3-6x2+9x is increasing

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1<x<3

x<1 and x>3

X ≥1 and x ≤ 3

-∞ < x < ∞

The physical quantity which possesses both magnitude and direction is called a

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scalar

vector

constant

none of these

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

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all are correct

A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

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1/2

2/3

1/3

2/5

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The expression x2 - x + 1 has

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One proper linear factor

No proper linear factor

Two proper linear factors

None of these

The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers

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At

-A

A

A-1

The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are

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xa^x-1

a^x

x in a

a^xIn a

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0

-4

none of these

The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is

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32

16

18

8

∀ z ∈ C, multipliucative is

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(1,1)

(1,0)

(0,1)

None of these

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If you are looking a bird in the tree from the ground then the angle formed is called angle of______;

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Elevation

Depression

Right angle

None of these

A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

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1/8

2/8

3/8

None of these

An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

The equation of the directrix of the parabola x²= 4ay is

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x + a = 0

x - a = 0

y + a = 0

y - a = 0

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

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2 x 3

3 x 2

2 x 5

5 x 2

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πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

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