જો {a^{1/x}} = {b^{1/y}} = {c^{1/z}} અને {b^2 | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(b) ${a^{1/x}} = {b^{1/y}} = {c^{1/z}} = k\,({\rm{say}}) \Rightarrow a = {k^x},\,b = {k^y},\,c = {k^z}$

${b^2} = ac \Rightarrow {({k^y})^2} = {k^x}

Vedclass · Accepted Answer

$2y$

Vedclass · Answer

(b) ${a^{1/x}} = {b^{1/y}} = {c^{1/z}} = k\,({\rm{say}}) \Rightarrow a = {k^x},\,b = {k^y},\,c = {k^z}$

${b^2} = ac \Rightarrow {({k^y})^2} = {k^x}.{k^z}$ $ \Rightarrow $ ${k^{2y}} = {k^{x + z}} \Rightarrow x + z = 2y$.

જો ${a^{1/x}} = {b^{1/y}} = {c^{1/z}}$ અને ${b^2} = ac$ તો $x + z = $

Similar Questions

$\sqrt {[12\sqrt 5 + 2\sqrt {(55)} ]} $ નું વર્ગમૂળ મેળવો.

જો ${a^x} = {b^y} = {(ab)^{xy}},$ તો $x + y = $

${{{{[4 + \sqrt {(15)} ]}^{3/2}} + {{[4 - \sqrt {(15)} ]}^{3/2}}} \over {{{[6 + \sqrt {(35)} ]}^{3/2}} - {{[6 - \sqrt {(35)} ]}^{3/2}}}} = $

$\sqrt {(3 + \sqrt 5 )} = . .$ .

$9\sqrt 3 + 11\sqrt 2 $ નું ઘનમૂળ મેળવો.