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Recent questions tagged q11-2

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate P(E/G) and P(G/E).

asked Jun 18, 2013 by balaji.thirumalai

1 answer

Find the angle between the following pair of lines: $ \frac{\large x}{\large 2} = \frac{\large y}{\large 2} = \frac{\large z}{\large 1} \: and\: \frac{\large x-5}{\large 4} = \frac{\large y-2}{\large 1} = \frac{\large z - 3}{\large 8} $

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

Let $S=\{a,b,c\}\;$ and$ \;T = \{1,2,3\}$. Find $F^{-1}$ of the following functions \(F\) from \(S\) to \(T\), if it exists - - $(ii)\;\; F=\{(a,2), (b,1), (c,1)\}$

asked Mar 13, 2013 by sreemathi.v

1 answer

By using the properties of determinants show that $ (ii) \begin{vmatrix} x+y+2z&x&y \\ z&y+z+2x&y \\ z&x&z+x+2y \end{vmatrix} = 2(x+y+z)^3 $

asked Mar 11, 2013 by sreemathi.v

1 answer

Prove, using properties of determinants: $\begin{vmatrix} x+y+2z & x & y \\ z & y+z+2x & y \\ z & x & z+x+2y \end{vmatrix} = 2(x+y+z)^3 $

asked Feb 6, 2013 by thanvigandhi_1

0 answers

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