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Recent questions tagged q10-2

Find the maximum value of \(2x^3 – 24x + 107\) in the interval \([-3,-1]\)

asked Aug 19, 2013 by sreemathi.v

1 answer

Find the angle between the pairs of lines: $ \overrightarrow r = 3\hat i + \hat j -2\hat k + \lambda (\hat i - \hat j -2\hat k)\: and \: \overrightarrow r = 2\hat i - \hat j-56 \hat k+ \mu (3 \hat i -5\hat j - 4\hat k) $

asked Jun 5, 2013 by meena.p

1 answer

Find the angle between the pairs of lines: $ \overrightarrow r = 3\hat i + \hat j - 2\hat k + \lambda (\hat i - \hat j - 2\hat k)\: and \: \overrightarrow r = 2\hat i - \hat j - 56\hat k + \mu (3\hat i - 5\hat j - 4\hat k) $

asked Apr 30, 2013 by rvidyagovindarajan_1

1 answer

If $a \; =\; cos \; 2\alpha \; + \; i \; sin \; 2\alpha , \; b \; =\; cos\; 2\beta + i\; sin\; 2\beta\; $ and $\;c\; = \; cos \; 2\gamma\; + \; i sin\; 2\gamma$ prove that $\frac{a^{2}b^{2}+c^{2}}{abc}\; = \; 2\; cos \; 2\left ( \alpha \;+\;\beta \;+\;\gamma \right )$

asked Apr 19, 2013 by geethradh

0 answers

A random variable $x$ has a probability density function $f(x) = \left\{ \begin{array}{l l} k & \quad \text{0<x<2n}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ Find $p(0<x<\large\frac{\pi}{2})$

asked Apr 19, 2013 by poojasapani_1

1 answer

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

asked Mar 11, 2013 by sreemathi.v

1 answer

Give an example of a relation which is (ii) Transitive but neither reflexive nor symmetric.

asked Mar 8, 2013 by balaji.thirumalai

1 answer

Express the following matrices as the sum of a symmetric and a skew symmetric matrix: $ (ii) \begin{bmatrix} 6 & -2 & 2 \\ -2 & 3 & -1 \\ 2 & -1 & 3 \end{bmatrix} $

asked Mar 5, 2013 by balaji.thirumalai

1 answer

A black and a red dice are rolled. Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.

asked Nov 27, 2012 by balaji.thirumalai

1 answer

Find if the given operation has identity: $\;\; a \ast b = a^2 + b^2$

asked Nov 21, 2012 by vaishali.a

2 answers

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