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If x : a = y : b = z : c,then show that : `(a^2+b^2+c^2)(x^2+y^2+z^2) =(ax+by+cz)^2`.

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If x : a = y : b = z : c , then prove that (a^(2) + b^(2) + c^(2))(x^(2) + y^(2) + z^(2)) = (ax + by + cz)^(2)

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 x/a = y/b = z/c , then show that (x^(2)-yz)/(a^(2)-bc) = (y^(2)-zx)/(b^(2) - ca) = (z^(2)-xy)/(c^(2)-ab)

If x/(b + c -a) = y/(c + a - b) = z/(a + b -c) , then show that (b -c) x + (c-a) y + (a -b) z = 0 .

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If x+z = 2y " and " b^2 = ac , then prove that a^(y-z)*b^(z-x)*c^(x-y) =1 .

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UNITED BOOK HOUSE-RAMKRISHNA MMISSION BOYS SCHOOL-EXERCISE
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  3. If x : a = y : b = z : c,then show that : (a^2+b^2+c^2)(x^2+y^2+z^2) =...

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