Question # 1

If a, b, c are the measures of the sides of a triangle then

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A circle which touches one side of a triangle externally and the other two sides produced is called ______

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In-circle

Circum cirle

Escribed circle

None of these

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Tan 180° = ______

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-1

0

1

Undefined

The principal value of sin-1√(3/2) is

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-π/3

π/3

2π/3

π/2

If f(x) = x²-x then f(1) is

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0

1

2

3

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if

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The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

Which of the following is a vector.

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energy

force

work

power

The number of permutation that can be formed from the letters of the word OBJECT is

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700

600

720

620

If A is singular then |A| = ______

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1

0

2

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

w⁴= ______

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0

1

w

w²

A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is

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1/6

1/3

1/2

2/3

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If the domain of sequence is finite set then the sequence is called

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geometric sequence

infinite sequence

finite sequence

arithmetic sequence

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y/x

x/y

y/z

None

How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

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Singleton set

A set with two points

Empty set

None of these

A line segment whose end points lie on a circle is called

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The secant of the circle

The arc of the circle

The chord of the circle

The circumference of the circle

The additive inverse of 2/3 is

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3/2

-2/3

-3/2

0

In any triangle ABC,with usual notationαsinβ =____;

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b sinα

bsinβ

αsinα

None of these

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Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangement is

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⁶C₃x ⁴C₂

⁴C₂x ⁴P₃

⁴P₂x ⁶P₃

None of these

If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then

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p = -14

p = -1

p =0

p=12

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[0,1[

[0, 1]

]0, 1[

None of these

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