Question # 1

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A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

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57𝜊

-48𝜊

27𝜊

53𝜊

If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is

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an ellipse

a hyperbola

a circle

a parabola

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The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

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0

1

-1

undefined

The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is

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1 / 4

1 / 2

3 / 4

25 / 98

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none of these

cos 3a =_______;

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3sin a - 4sin3 a

4sin a - 3sin3 a

3cos3 a - 4cos a

4cos3a - 3cos a

An infinite sequence has no

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nth term

Last term

Sum

None of these

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Roots of the equation x²- 7x + 10 = 0 are

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{2, 5}

{-2, 5}

{2,5}

{-2,-5}

Area of the circle with ends of a diameter at (-3,2) and (5,-6)

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128π sq. units

64π sq. units

32π sq.units

None of these

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The 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

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none of these

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The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

The system of measurement in which the angle is measured in radians is called the

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circular system

CGS system

sexagesimal system

none of these

The range of the principle cot function is

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Which one represents a sequence

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an

Sn

a(n)

{an}

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

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Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in

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4 ways

12 ways

256 ways

24 ways

The set {1,-1, i, -i} form a group under

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Addition

Multiplication

Subtraction

None

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The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

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12

13

14

15

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