For any real x- the expression 2 k-x - x- x 2 - k 2 - cannot exceed

The correct option is C 2 k ^ 2 Let 2( k x ) [ x+√( x ^ 2 + k ^ 2 ) nbsp;] =y ⇒√( x ^ 2 + k ^ 2 ) = y 2( k x ) nbsp; x On squaring and re ...

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Graphical Method of Solving Linear Programming Problems

For any real ...

Question

For any real $x$ , the expression $2 (k - x) [x + \sqrt{x^{2} + k^{2}}]$ cannot exceed

k^{2}

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2 k^{2}

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3 k^{2}

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None of these

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$X = x$	$0$	1	2	3	4	5	6	7
$P (X = x)$	$0$	$k$	$2 k$	$2 k$	$3 k$	$K^{2}$	$2 k^{2}$	$7 k^{2} + k$

P (0 < X < 5) =

X

X=x	0	1	2	3	4	5	6	7
P(X=x)	$0$	$k$	$2 k$	$2 k$	$3 k$	$k^{2}$	$2 k^{2}$	$7 k^{2} + k$

k

P (0 < X < 5)

X

$X$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$
$P (X = x)$	$0$	$k$	$2 k$	$2 k$	$3 k$	$k^{2}$	$2 k^{2}$	$7 k^{2} + k$

k

$X = x$	0	1	2	3	4	5	6	7
$P (X = x)$	$0$	$K$	$2 K$	$2 k$	$3 K$	$K^{2}$	$2 K^{2}$	$7 K^{2} + k$

P (0 < X < 5) =

k

k^{2} + 4 k + 8

2 k^{2} + 3 k + 6

3 k^{2} + 4 k + 4

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