Question # 1

2π+θwill have terminal side in Quad

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I

II

III

IV

150°= ______

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An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is

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3 sec²x

3 sec²3x

sec²3x

sec²x

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The degree of differential equation is the power of the

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Lowest order derivative

Highest order derivative

Integral

All are correct

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

1 radian = _____

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60°

57.296°

57.2°

180°

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

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cos x + c

-sin x + c

-cos x + c

sin x + c

(fog)′(x) =f′(g(x))g′(x) is derivative by

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Chain rule

Reciprocal rule

Power rule

Product rule

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8

1/56

56

None of these

The standard form of the quadratic function f(x) = -x² +4x+2, is

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(x-2)²+6

-(x-2)² + 6

(x-3)²+5

(x+4)²-7

Area of the triangle whose vertices are (2,3),(0,1),(0,0) is

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6

2

4

1

Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

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The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

The line y = 4x + c touches the hyperbola x²- y²= 1 if

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The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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Arithmetic mean between 14 and 18 is

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16

17

15

32

If the sum of even coefficients in the expansion of (1+x)n is 128 then

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n=7

n=9

n=8

None

i²=

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1

2

-1

0

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

For any equilateral r :R :η :r1 :r2 :r3 =

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1:2:3:4:5

1:2:3:3:3

1:2:4:4:4

2:1 :2 :2 :2

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5x^{4 + c}

1/6 x⁶+ c

5x²+ c

1/5 x⁶+ c

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