Construct a circuit diagram for the following Boolean Function:
(BC + A)(A'B' + C') + A'B'C'
Using laws of Boolean Algebra, simplify the function and draw the simplified circuit.
From the following information, find the equation of the Hyperbola and the equation of its Transverse Axis:
Focus: (- 2, 1), Directrix: 2x - 3y + 1 = 0, e =
Let P(x, y) be a point on the conic, then
PS = e.PM i.e. =
Squaring on both sides, we get
i.e. 23x2 + 48xy + 3y2 + 140x - 54y + 191 = 0 is the required hyperbola.
Transverse axis passes through (- 2, 1) and is perpendicular to Directrix.
2x - 3y + 1 = 0
Tangent Axis: 3x + 2y + c = 0 where - 6 + 2 + c = 0, c = 4; TA: 3x + 2y + 4 = 0
Find the maximum value of the cylinder which can be inscribed in a sphere of radius cm. (Leave the answer in terms of )
Find the Karl Pearson's co-efficient of correlation between x and y for the following data:
x | 16 | 18 | 21 | 20 | 22 | 26 | 27 | 15 |
y | 22 | 25 | 24 | 26 | 25 | 30 | 33 | 14 |