no. of integral value of a

$\textbf{Find no. of integral values of $\mathbf{a}$ such that\\\\ $\mathbf{\sqrt{9-a^2+2ax-x^2}>\sqrt{16-x^2}$}}$\\\\ $\textbf{for atleast one positive Real value of $\mathbf{x}$}.$

4 Answers

1
pirtish ·

uhh !!!!!!!! STOP IT ! NOT FOR JEE

62
Lokesh Verma ·

pirtish .. stop it if you dont have to solve :D

11
Joydoot ghatak ·

seeing the domain of x ;

x lies in between (9-a) and (9+a)
and between -4 and 4.
by solving the equation ,

a2+2ax-7 >0

for this discriminant must be negetve, i.e,

x2+7 < 0

which is nt possible with real valued x :(
where am i going wrong??

11
Joydoot ghatak ·

oh.. i have commited a mistake there..

after simplifying, the equation comes out to be,

a2 - 2ax + 7 <0
for this discriminant should be negetve.. thus,

x2 - 7 < 0

x lies between √7 and - √7

how to proceed after that...

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