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The following Boolean expression $$Y = A \cdot \overline B \cdot \overline C \cdot \overline D + \overline A \cdot B \cdot \overline C \cdot D + \overline A \cdot \overline B \cdot \overline C \cdot D + \overline A \cdot \overline B \cdot \overline C \cdot D + \overline A \cdot B \cdot C \cdot D + A \cdot \overline B \cdot \overline C \cdot D$$                 can be simplified to
ABCD is a parallelogram and the diagonals \(\overline {AC} \) and \(\overline {BD} \) intersect at 'O'. If E, F, G and H are the mid-point of \(\overline {AO}\), \(\overline {DO}\), \(\overline {CO}\) and \(\overline {BO} \) respectively, then what is the ratio of (EF + FG + GH + HE) and (AD + DC + CB + BA)?
Let the average temperatures in Centigrade (C) and Fahrenheit (F) be $$\overline C $$ and $$\overline F $$. If $$\overline C $$ and $$\overline F $$ are related to $$F = \frac{9}{2}C + 32,$$   then $$\overline F $$ and $$\overline C $$ have the relation
ΔABC is an isosceles triangle and $$\overline {AB} $$  = $$\overline {AC} $$  = 2a unit, $$\overline {BC} $$  = a unit. Draw $$\overline {AD} $$ ⊥ $$\overline {BC} $$ , and find the length of $$\overline {AD} $$
In the given circle, line \(\rm\overline{AB}\) is produced to meet tangent \(\rm\overline{DE}\) at point D. If \(\rm\overline{AB}\) = 7 cm and \(\rm\overline{DE}\) = 12 cm, then what will be the length of \(\rm\overline{BD}\)?
In the circle below, chord \(\overline {AB}\) is extended to meet the tangent \(\overline {DE}\) at D. If \(\overline {AB}\) = 24 cm \(\overline {DE}\) = 9 cm, what is the length of \(\overline {BD}\)?
The Boolean expression Y = $$\overline {{\text{ABC}}} $$ D + $$\overline {{\text{AB}}} $$ CD + $$\overline {\text{A}} $$B$$\overline {\text{C}} $$ D + $$\overline {\text{A}} $$BCD reduces to
In the given circle, chord \(\overline {AB}\) is extended to meet the tangent \(\overline {DE}\) at D. If  \(\overline {AB}\) = 10 cm and \(\overline {DE}\) 12 cm, what is the length of  B̅D̅?
Let f1(z) = z2 and f2(z) = $$\overline {\text{z}} $$ be two complex variable function. Here $$\overline {\text{z}} $$ is the complex conjugate of z. Choose the correct answer.
Consider the following statements in respect of an arbitrary complex number Z: 1. The difference of Z and its conjugate is an imaginary number. 2. The sum of Z and its conjugate is a real number. Which of the above statements is/are correct?