Question # 1

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a-b=ab

ab=a

a+b=ab

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If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y²= 4x, then

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a = 2b

2a = b

a²= 2b

2a = b²

If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

∛8.6 is approximately equal to

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2.488

2.48

2.0488

2.05

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

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In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

If distance of (a,b) from origin is 5 then

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a²+ b²=5

a = 5

b = 5

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

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graph

Continuity

Discontinuity

Periods

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0

1

2

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

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

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Right angled

Obtuse angled

Isosceles

Equilateral

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Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

The magnitude of vector a=i-3j+5k is:

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3

√35

√17

√35

Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

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xcosθ+ysinθ =5

xcosθ -ysinθ =0

xsinθ -ycosθ =0

None of these

n(n - 1) (n - 2) in factorial form is

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The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

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60𝜊

40𝜊

41𝜊

30𝜊

The position vector of any point in space is

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The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

The area of the circle centred at (1,2) and passing through (4,6) is

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30 πsq.units

5π sq.units

15π sq.units

25π sq.units

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none of these

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