Question # 1

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A positive integer

A negative integer

A natural number

An irrational number

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0

1

-A

-1

If f(√x)=sin x , then f′(x) =______;

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2xcosx2

cosx2

cos√x

None of these

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The interval in which f(x)=x3-6x2+9x is increasing

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1<x<3

x<1 and x>3

X ≥1 and x ≤ 3

-∞ < x < ∞

The number of subsets of a set having three elements is

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4

6

8

none of these

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

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18 cm

18.027 cm

20.7 cm

19 cm

(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

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8

4

64

Name the property used in 4.1 + (-4.1) = 0

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Additive inverse

Multiplication inverse

Additive identity

Multiplication identity

Which of the following is not a quadrantal angle

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90°

100°

180°

270°

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ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

Number of lines passing through three non-collinear points is

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2

3

1

0

∞

The conjugate of √5 i is

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√5

-√5 i

i

5i

if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

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1

12

5

29

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System of linear equations is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

i³ =

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-1

i

-i

1

The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

The principal value of sin^-1[-√(√3) /2] is

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5π/3

-2π/3

-

π/3

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The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

If n is any positive integer then n²> n + 3 for

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none of these

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1

2

3

4

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If 2 and 2 are x and y components of vector then its angle with x-axis is

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30°

45°

60°

90°

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