Question # 1

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Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

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7 / 40

5 / 40

11 / 40

None of these

If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is

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1

3

2

4

In an A.P,a +(n-a)d is

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1st term

General term

Last term

None of these

150°= ______

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If y=f(x) is a function then y is called

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dependent variable

independent variable

constant

none of these

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

A point of a solution regions where two of its boundary lines intersect, is called:

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

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(a + b)c = ac + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b +c) = ab + ac

The law of consines is

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0

1

-A

-1

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

The multiplicative inverse of 0 is

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1

-1

0

Does not exist

A function in which the variable appears as exponent is called:

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An identity function

A logarithmic function

an exponential function

A rational function

The point of concurrency of the medians of a triangle is called

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incentre

circumcentre

e-centre

centroid

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none of these

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

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0

-1

1

2

Geometrically, the modulus of a complex number represents its distance from the

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Point (1, 0)

Point (0, 1)

Point (1, 1)

Point (0, 0)

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

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Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

The number of different ways of describing a set is

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One

Two

Three

Four

Domain of 3 sin x is ______

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[-3, 3]

R

Positive real numbers

None of these

(0,1) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 5

x -2y < -5

Co-ordinate of a point on the parabola y² = 8x whose focal distance is 4 are:

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(2 , 4)

(-2 ,-4)

(-2, 4)

(2,-4)

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

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15

15i

-15i

-15

The solution set of trigonometric equation contains

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one element

two elements

three elements

Infinite elements

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