Question # 1

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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6x + 2 + c

6x + x²+ c

6x³+ x²+ x

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0

1

-1

2

A matrix in which the number of rows is equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

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The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is

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116 m

200 m

216 m

None of these

If f(x) = x²- x then f(2) is

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4

6

2

0

The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if

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a+b=c+d

a+c=b+d

a+d=b+c

All are correct

The law of sines can be used to solve

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Right angle triangle

Isosceles triangle

oblique triangle

haxagon

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Name the property used in 100 + 0 = 100

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Additive inverse

Multiplicative inverse

Additive identity

Multiplicative identity

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

sin²αcos²α=

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-1

0

1

None of these

The symbol of irrational is

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W

N

Q

Q'

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16 / 7

6 / 17

7 / 16

None of these

The solution of the equation cos²θ+ sinθ+ 1 = 0 lies in the interval

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The Domain of y = sin x is ______

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Set of real numbers

Rational

Irrational no.

None of above

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

The solution set of the inequality ax + by < c is

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straight line

half plane

parabola

none of these

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If a parabola opens down, then its vertex is at the

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Right of the parabola

Left of parabola

Lowest point on the parabola

Highest point on the parabola

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

If P is a proposition then its negative is denoted by

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The value of cos(cos-1 1/2) is

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1/2

√3/2

-1/2

1/√2

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

Sine is a periodic function and its period is ______

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π

s

2π

4π

If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)

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f

1

C

0

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