Question # 1

The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is

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(0,0)

(1,1)

(2,2)

(3,3)

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Proper fraction

Improper fraction

Rational fraction

None of these

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-3 -2i

3 +2i

1 + 2i

1 - 2i

What is the period of sin 2x/3 cos 4x=?

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π

2π

π/2

π/3

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

f(x) = C is

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identity function

constant function

linear function

quadratic function

n(n-1)(2n-1), for all natural numbers n, is divisible by

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12

6

2

18

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is

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1

3

2

4

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Rational

Irrational

Even

Odd

If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

If the roots of ax²+ b = 0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0, b > 0

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N

r

2r

π

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sin x + c

-sin x + c

cos x + c

-cos x + c

The sum of the roots of the equation x2 -6x +2 = 0 is

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-6

2

-2

6

A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

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A proper fraction

An improper fraction

An equation

An identity

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A is proper subset of B

A is an improper subset of B

A is equivalent to B

B is subset of A

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

Name the property used in a (b-c) = ab - ac

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commutative property of multiplication

distributive property of multiplication

associative property of multiplication

multiplicative inverse

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i³=

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-1

i

-i

1

If n is any positive integer then n! > n²for

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The range of y = sin x is ______

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[1, -1]

[-1, 1]

[0, -1]

[-∞+∞]

If a set S contains "n" elements then P (S) has ...... number of elements

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2ⁿ

2²ⁿ

2 . n

n²

the curve of the parabola y² = -4ax is symmetric with respect to

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x -axis

y - axis

Botha x and y- axis

None of thes

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

The value of the expression sinθ+ cosθlies between

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1

0

3

-3

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

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