Question # 1

The radius of the circle 2x²+ 2y²- 4x + 12 y+11=0 is:

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√4.5

√11

√29

√15

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The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

The velocity of a particle moving along a straight line is given by v = 3t + t². The acceleration of the particle after 4 seconds from the start is

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4

11

26

None

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If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

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What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

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If f(x) = ax², and a>0, then the lowest point on the parabola is called.

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Vertex of parabola

Co-ordinates of parabola

Roots of the equation

Coefficient of the equation

The slope of y-axis is

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0

undefined

1

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

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An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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

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Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

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If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is

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an ellipse

a hyperbola

a circle

a parabola

The general term of the A.P. is

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a₁+ (n - 1) d

n + (a₁- 1) d

d + (n - 1) a₁

None of these

If n is a negative integer n! is

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1

0

Unique

Not defined

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

The set { 1 , -1} is closed w.r.t.

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Addition

Multiplications

Subtraction

None of these

If (2, 3) is the mid point of (a, 3) and (5, b) then

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a = 1 , b = -3

a = -1 , b = 3

a = 1 , b =3

a = -1 , b = -3

If a = [1,4,3] and B= [2,-1,5] athen the mid point M of AB is:

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[1,1,1.5]

[2,2,1.5]

[1.5,1.5,4]

None of these

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

In one hour the minute hand of a clock turns through

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202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of above

Sin h^-1x = _________

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