Question # 1

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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

The value of sin-1 24/25 is equal to

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csc-1 25/24

sec-1 24/25

2 tan-1 4/5

2cos-1 24/25

For all points (x,y) in third quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

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The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3

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5,3

5,-3

5,0

10,0

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

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none of these

∀a,b ε R, ab = be is a

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplicative identity

Sin^-1 (-x) =

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Cos^-1 1/x

-Sin^-1 X

1/sin-1x

Sin^-1 1/x

Unit vector in the positive direction of x-axis is

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î

ĵ

k̂

All

A sequence of numbers whose reciprocals forms an arithmetic sequence is called

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Harmonic series

Arithmetic series

Harmonic sequence

Geometric sequence

If a cone is cut by a plane perpendicular to the axis of the cone then the section is a

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Parabola

Circle

Hyperbola

Ellipse

Complex roots of real quadratic equation occur in

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Nilpotent matrix

Singular matrix

Non singular matrix

Diagonal matrix

The Domain of f(x) = log x is

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[0,∞]

(0, ∞)

[0,∞[

[∞ ,∞]

There are 30 Red, 20 Green and some Blue bells in a bag if the probability of finding a Red ball is 1/3,how many are red balls in the bag

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120

20

40

90

If Sin^-1 x + cos^-1 y = π, then x and y are

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Associative angles

Complementary angles

Reflex angles

Supplementary angles

Cse π/3

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2

1

0

2/√3

The set of the first elements of the ordered pairs forming a relation is called its

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-x

does not exist

1/x

0

The equation of the normal to the circle x² + 2² = 25 at (4,3) is

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3x -4y =0

3x -4y= 5

4x + 3y=5

4x - 3y =25

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