page 7 | Mathematics-DDCET MCQ - Electrical Engineering Objective

Q71. What is the value of \(\frac{d}{dx} (\frac{\sec x}{\csc x \tan x}) \: ?\)

\(1\)

\(0\)

\(\sec x\)

\(\tan x\)

Q72. Find the answer for \(\int_{2}^{3} 4 \cos x \: dx\).

\(4[\sin \: 3 - \sin \: 2]\)

\(4[\sin \: 3 + \sin \: 2]\)

\(4[\sin \: 2 + \sin \: 3]\)

\(4[\sin \: 2 - \sin \: 3]\)

Q73. What is the value of \(\frac{d}{dx} (\frac{a^x}{e^x})?\)

\(\frac{a^x (ln (a) +1)} {e^x}\)

\(\frac{a^x (ln (a) -1)} {e^2}\)

\(\frac{e^x (ln (a) -1)} {e^x}\)

\(\frac{a^x (ln (a) -1)} {e^x}\)

Q74. \(x = at^2\) and \(y = 2at\) are parametric equations of

circle \(x^2+y^2=r^2\)

parabola \(y^2= 4ax\)

ellipse \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \)

ellipse \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \)

Q75. Find the integral \(I = \int 6x \: (x^2+6)\) with respect to \(x.\)

\( I = \frac{3x^4}{2} + 18 x^2 + C \)

\( I = \frac{3x^4}{4} + 18 x + C \)

\( I = \frac{x^4}{4} + 18 x + C \)

\( I = \frac{x^4}{2} + 6 x^2 + C \)

Q76. If y is an image of x under the function f, we write it as

\( x = ƒ(y) \)

\( y \ne ƒ(x) \)

\( y = ƒ(x) \)

\(y=x\)

Q77. What is the value of \(\lim \limits_{x \to 4} \frac{x^2-2x-8}{x-4} ?\)

2

4

1

0

Q78. If y is expressed in terms of a variable x as \(y = ƒ(x)\), then y is called

explicit function

implicit function

linear function

identity function

Q79. Find the value of \(\frac{dy}{dx} \: \) if \(, \: y=e^{x^{4}}.\)

\(\frac{dy}{dx}=e^{3x^{4}}×x^3 \)

\(\frac{dy}{dx}=e^{3x^{4}}×4x^3 \)

\(\frac{dy}{dx}=e^{x^{4}}×4x^3 \)

\(\frac{dy}{dx}={e^{4}}×4x^3 \)

Q80. What is the inclination of a line which is parallel to x-axis?

\(0^\circ\)

\(180^\circ\)

\(45^\circ\)

\(90^\circ\)

MCQ

Mathematics (DDCET)