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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
0 votes

$\int \limits_0^a x dx < a+4$ then

\[\begin {array} {1 1} (a)\;0 \leq a \leq 4 \\ (b)\;a \leq -2\;or\;  \geq 0 \geq 4 \\ (c)\;-2 \leq a \leq 0 \\ (d)\;-2 \leq a \leq 4 \end {array}\]

Can you answer this question?
 
 

1 Answer

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$\bigg[ \large\frac{x^2}{2}\bigg]_0^a $$< a+4$
$\large\frac{a^2}{2} $$ < a+4$
$a^2 < 2a+b$
$a^2 -2(1-b) <0$
$(a-4)(a+2) <0$
$a <-2,a <4$
Hence b is the correct answer.
answered Dec 17, 2013 by meena.p
 
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