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A class III mathematics teacher gave the following questions to her students:  \(\begin{equation} \frac{ \begin{array}[b]{r} 256 \\ + 173 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 28 \\ + 32 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 129 \\ + 76 \end{array} }{ } \end{equation}\) Later she asks the students to solve a worksheet that has similar questions. Which of the following statements is appropriate for the given situation?
Consider the following statements: In the above figure, the curves pertain to the DC motor A. Speed vs Armature current characteristic of a DC shunt motor B. Torque vs Armature current characteristic of a DC shunt motor C. Speed vs Armature current characteristic of a DC series motor D. Torque vs Armature current characteristic of a DC series motor
The characteristic equation of a control system is s(s2+ 6s+13)+K=0. The value of k such that the characteristic equation has a pair of complex roots with real part -1 will be :
The characteristic equation for the control system with a closed loop transfer function $$\frac{{{{\text{G}}_1}}}{{1 + {{\text{G}}_2}}}$$  is given by $$1 + {{\text{G}}_2} = 0$$   The characteristic equation for the control system
Which of the following is true? A: If the sum of cube of three numbers is thrice the product of the three numbers, then the sum of three numbers will be non-zero. B: For quadratic equation ax2 + bx + c = 0, If b2 < 4ac, then the given equation has only one real root. C: In the equation, x2 – (a + b)x + ab = 0, the roots of this equation will be ‘a’, ‘b’.
To an addition problem, \(\begin{equation} \frac{ \begin{array}[b]{r} 56 \\ +38 \end{array} }{ } \end{equation}\)  a class 2 student responded as \(\begin{equation} \frac{ \begin{array}[b]{r} 56\\ +38 \end{array} }{ 84 } \end{equation}\)As a reflective mathematics teacher, what will be your reaction to the child's answer? 
If the signs '+' and '×' are interchanged, which of the following equations will be correct? equation: A 90 ÷ 6 + 4 – 20 × 12 = 52 equation: B 24 + 4 × 10 – 4 ÷ 4 = 36 equation: C 34 × 12 ÷ 6 + 10 – 6 = 28 equation: D 42 ÷ 14 + 6 × 4 – 12 = 30
If the equation of parabola is 3y2 = 8x then which of the following statements is/are true: Equation of directrix is: 3x + 2 = 0 Equation of axis is: y = 0 Equation of latus rectum is: 3x - 2 = 0
In the Potier method of voltage regulation, which of the following characteristics is/are determined by conducting tests on the machines running at synchronous speed? (i) Open-circuit characteristic (ii) Zero power factor (lagging) characteristic (iii) Short-circuit characteristic
Given two quadratic equations, I. x2 - 31x + 240 = 0 Equation I has two roots x1, x2. (x1 > x2) II. 3y2 – 7y – 3 = 8y - 3y2 - 9 Equation II has two roots y1, y2. (y2 > y1) Find the equation whose roots are (– 2y1 + x1), - (y2 – x2).