Question # 1

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k3

0

3k

k6

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

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______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

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5

15

10

20

w¹⁵= ______

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0

1

w

w²

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

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Which one represents a sequence

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an

Sn

a(n)

{an}

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

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In (x + iy) x is the known as

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Imaginary part of complex number

Real part of complex number

Complex number

None of above

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

What is the value of cos (cos-1 2) ?

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√2

1/2

undefine

0

(1 + 2x)⁴= ______

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1 + 4x + 6x²+ 4x³+ x⁴

1 - 4x + 6x²- 4x³+ x⁴

1 - 8x + 24x²- 32x³+ 16x⁴

1 + 8x+ 24x²+ 32x³+ 16x⁴

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

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a = a

a < a

a > a

a²= a

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(x, y)

(kx, y)

(x, ky)

(kx, ky)

If s = 2t³- 3t²+ 15t - 8 is the equation of motion of a particle, then its initial velocity is

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8

15

-6

None

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The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

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The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

Derivative of x³w.r.t x is

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0

1

3x²

x³

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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

If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is

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an ellipse

a hyperbola

a circle

a parabola

A sequence of number whose reciprocals form an arithmetic sequence is called

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

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