page 8 | Mathematics-DDCET MCQ - Electrical Engineering Objective

Q81. What is the value of \( \lim\limits_{x \to \frac{\pi}{2}} \frac{\sin{x}}{x} ?\)

\( \frac{2}{\pi} \)

\(\frac{\pi}{2}\)

1

0

Q82. Find the second order derivative if \(y=e^{2x^{2}}.\)

\( \frac{d^2 y}{dx^2}= e^{{2x}^2} (4x +1) \)

\( \frac{d^2 y}{dx^2}= 4e^{{2x}^2} (4x^2 +1) \)

\( \frac{d^2 y}{dx^2}= e^{{2x}^2} (4x^2 +1) \)

\( \frac{d^2 y}{dx^2}= e^{{2x}^2} (x^2 +1) \)

Q83. In \(\int_{a}^{b} f(x) dx\), what is \('b'\) called as?

Limit of an integral

Lower limit

Upper limit

Integration

Q84. What is the value of \(\frac{d}{dx} (\cos^2 x \: \tan x) \: at \: x=0 \:?\)

1

0

-1

2

Q85. If \(f:x \rightarrow xsec(x)\) is a function, then \(f(0) = ?\)

\(-1\)

\(0\)

\(1\)

\( \infty\)

Q86. Equation of horizontal line above x-axis at 5 units from x-axis is \(_{-----------}\)

\( x=5 \)

\( x=-5 \)

\( y=5 \)

\( y=-5 \)

Q87. If x-intercept of a line is 4 and its y-intercept is 2 then \(_{-----------}\) is the equation of line.

\( 2x+y-4=0 \)

\( x+2y-4=0 \)

\( 2x+y+4=0 \)

\( x+2y+4=0 \)

Q88. If the domain of function \( f:x \rightarrow x^2 + 1\) is \( \{0,\:1\}\), then its range is

\( \{0,\:1\}\)

\( \{1,\:2\}\)

\( \{2,\:3\}\)

\( \{3, \:4\}\)

Q89. Find the value of \(\frac{dy}{dx} \: \text{ if } \: y = 3x^{cos x}.\)

\(\frac{dy}{dx} = x^{3\cos x} . [ (ln x) (3\sin x)]\)

\(\frac{dy}{dx} = x^{3\cos x} . [ \frac{\cos x}{3x} – (ln x) (3\sin x)]\)

\(\frac{dy}{dx} = x^{3\cos x} . [ \frac{\cos x}{x} – (ln x) (\sin x)]\)

\(\frac{dy}{dx} = 3x^{\cos x} . [ \frac{\cos x}{x} – (ln x) (\sin x)]\)

Q90. What is the value of \(\frac{d}{dx} (e^x \: \tan x)\) at \(x=0 \: ?\)

1

0

-1

2

MCQ

Mathematics (DDCET)