page 9 | Mathematics-DDCET MCQ - Electrical Engineering Objective

Q91. Express \(5^3 = 125\) in logarithm form.

\(log_{5} 3 =125\)

\(log_{125} 3 =5\)

\(log_3 125=5\)

\(log_5 125=3\)

Q92. Identify the mode for the following data set: {21, 19, 62, 21, 66, 28, 66, 48, 79, 59, 28, 62, 63, 63, 48, 66, 59, 66, 94, 79, 19 94}

66

21

94

62

Q93. If perpendicular distance of a line from origin is 4 units and angle which the normal makes with positive x-axis is 45°, then the equation will be \(_{-----------}\).

\(x + y = 4\sqrt{2}\)

\(x - y = 4\sqrt{2}\)

\(y-x = 4\sqrt{2}\)

\(x + y = -4\sqrt{2}\)

Q94. Find the second order derivative \(\frac{d^2 y}{dx^2}\) of \(y = 7 \: ln \:x^3.\)

\(\frac{d^2 y}{dx^2} = -\frac{21}{x}\)

\(\frac{d^2 y}{dx^2} = -\frac{7}{x^3}\)

\(\frac{d^2 y}{dx^2} = -\frac{21}{x^2}\)

\(\frac{d^2 y}{dx^2} = -\frac{7}{x^2}\)

Q95. Equation of vertical line to the right of y-axis at 5 units from y-axis is \(_{-----------}\)

\( x=5 \)

\( x=-5 \)

\( y=5 \)

\( y=-5 \)

Q96. The function \(f:x \rightarrow 1\) is

constant function

cubic function

quadratic function

identity function

Q97. What is the value of \(\frac{d(\sin⁡ x \: \tan⁡ x)}{dx} ?\)

\(\sin⁡ x + \tan⁡ x \: \sec⁡ x\)

\(\cos x + \tan⁡ x \: \sec⁡ x\)

\(\cos x + \sec⁡ x\)

\(\sin x + \sec⁡ x\)

Q98. Find the value for Integrate \(I = \int 2x \: \cos(x^2-4)\) with respect to \(x\).

\( I = \sin (2x^2-4) + C\)

\( I = \sin (x^2-4) + C\)

\( I = \sin (2x^2) + C\)

\( I = \sin (x-4) + C\)

Q99. Find the derivative of \(e^{x^{2}}\).

\(e^{x^{2}}\)

\(e^{x^{4}}\)

\(e^{2x^{2}}\)

\(e^{x^{-2}}\)

Q100. Find the second order derivative \(\frac{d^2 y}{dx^2}\) of \(y = 4x^3.\)

\( \frac{d^2 y}{dx^2} = 12 \times 2 \times x = 24 \: x\)

\( \frac{d^2 y}{dx^2} = 12 \times 2 \times x = 12 \: x\)

\( \frac{d^2 y}{dx^2} = 12 \times 2 \times x = 12 x^2\)

\( \frac{d^2 y}{dx^2} = 12 \times 2 \times x = 24\)

MCQ

Mathematics (DDCET)