Question # 1

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sec x tan x

cos²x

sin²x

sec²x

The perimeter of a sector of a central angle of measure 1 radian out off an are of length 35cm is

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35 cm

70 cm

140 cm

105 cm

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

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Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if

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c = 0

c = 0,b≠ 0

b = 0,c = 0

b = 0,c≠ 0

General solution of tan 5θ= cot 2θis

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The sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

∛8.6 is approximately equal to

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2.488

2.48

2.0488

2.05

The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is

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1⁰

1'

1"

1 rad

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0

1

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-8

8

8i

32

Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is

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3! P(n, r - 3)

P(n, 3) P(n, r - 3)

P(r, r)P(n, r - 3)

P(n - 3, r)

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

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Interesect

touch externally

touch internally

do not touch

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K/6

2K

3K

6K

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

The additive inverse of 1 is

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1

-1

0

Does not exist

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The equation of the circle with centre (5, -2) and radius 4 is

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(x-5)²+ (y+2)²= 16

(x-5)²+ (y+2)²= 4

(x-5)²+ (y-2)²= 16

(x-5)²+ (y-2)²= 4

i =

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

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Addition

Multiplication

Subtraction

None

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

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none of these

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

If distance of (a,b) from x-axis is 2 then

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a = 2

b = 2

a = b

b = 4

If sinθand cosθare the roots of the equation ax²- bx + c = 0, then a, b, c satisfy the relation

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b²- a²= 2ac

A²- b²= 2ac

A²+ b²= c²

B²+ a²= 2ac

sinα=

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2 sinαcosα

2 sinαcosβ

2 sinα/2 cosα/2

1+ tan²α/2

If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

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