Question # 1

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184

none of these

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

A disjunction of two statement p and q is true

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p is false

q is false

Both p and q are false

One of p and q is true

Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

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375

500

625

150

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

The value of sin [ arc cos (-1/2)] is

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0

-1

1/2

1

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

If A and B are two matrices such that AB = B and BA =A, then A²+ B²=

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2 AB

2 BA

A + B

AB

If f(x) = x²-x then f(1) is

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0

1

2

3

For all positive integral value of n,3ⁿ< n! , when

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n> 6

n< 6

n<11

n>11

A quadratic equation in x is an equation that can be witten in the form

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ax²+ b = 0

ax³ +b²+c=0

ax² +bx+c=0

ax³ +bx³+cx=0

The position vector of any point in space is

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The Principal value of sin-1 (-1/1/2)

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π/2

-π/2

π

-π

When rational fraction is separated into partial fractions, the result is

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an identity

A fraction

A partial sum

Improper fraction

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none of these

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The slope of the normal at the point (at², 2at) of the parabola y²= 4ax is

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1/t

t

-t

-1/t

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Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

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xcosθ+ysinθ =5

xcosθ -ysinθ =0

xsinθ -ycosθ =0

None of these

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56

7

8

8/7

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

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1st term

General term

Last term

None of these

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(2.02)4 s equal to

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16

16.6496

17

18

If sinαand cosαare the roots of the equation px²+ qx + r =0, then

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p²- q²+ 2pr = 0

(p + r)²= q²- r²

p²+ q²- 2pr = 0

(p - r)²= q²+ r²

Range of cosecθis

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W - {y | -1 < y < 1}

R - {y | -1 < y < 1}

O - {y | -1 < y < 1}

R

{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

If the radius of a circle is increased by 1 then area of circle will be

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π r2

π(r+1)2

π r2 +1

2π (r+1)

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

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7

8

9

10

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