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" 19.If "x^(a)=x^((b)/(2))z^((b)/(2))=z^...

" 19.If "x^(a)=x^((b)/(2))z^((b)/(2))=z^(c)," then "a,b,c" are in "

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If x=(a+b)/(a-b),y=(b+c)/(b-c),z=(c+a)/(c-a) then the value of ((2x+2)(4y+4)(z+1))/((x-1)(y-1)(z-1)) is equal to

If (x)/((b-c)(b+c-2a))=(y)/((c-a)(c+a-2b))=(z)/((a-b)(a+b-2c)) then the value of (x+y+z) is :

If a, b, c, x, y, z are real and a^(2)+b^(2) + c^(2)=25, x^(2)+y^(2)+z^(2)=36 and ax+by+cz=30 , then (a+b+c)/(x+y+z) is equal to :

If a, b, c, x, y, z are real and a^(2)+b^(2) + c^(2)=25, x^(2)+y^(2)+z^(2)=36 and ax+by+cz=30 , then (a+b+c)/(x+y+z) is equal to :

If a, b, c, x, y, z are real and a^(2)+b^(2) + c^(2)=25, x^(2)+y^(2)+z^(2)=36 and ax+by+cz=30 , then (a+b+c)/(x+y+z) is equal to :

If x : a = y : b = z : c , then prove that x^(3)/a^(2) + y^(3)/b^(2) + z^(3)/c^(2) = ((x+y+z)^(3))/((a+b+c)^(2))

If (log x)/(b-c) = (log y)/(c-a) = (log z)/(a-b) , then prove that x^(b^2+bc+c^2).y^(c^2+ca+a^2).z^(a^2+ab+b^2)=1

If a/(y+z) = b/(z + x) = c/(x+y) , then prove that (a(b-c))/(y^(2)-z^(2)) = (b(c-a))/(z^(2)-x^(2)) = (c(a-b))/(x^(2)-y^(2)) .

If (x+y)/(3a-b) = (y+z)/(3b-c) = (z+x)/(3c-a) , then show that (x+y+z)/(a+b+c)= (ax + by+cz)/(a^(2)+b^(2)+c^(2))