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If the roots of the equation a x^2+2b x+...

If the roots of the equation `a x^2+2b x+c=0` and `b x^2-2sqrt(a c) x+b=0` are simultaneously real, then prove that `b^2=a c`

A

a = b, c = 0

B

`ac = b^(2)`

C

`4b^(2) = ac`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
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  11. If a,b,c are positive real numbers, then the number of real roots of t...

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  14. If f(x) = (x^2 -2x + 4)/(x^2+2x+4), x in R then range of function is

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  15. If a lt c lt b then the roots of the equation (a−b)x^2 +2(a+b−2c)x+1=0...

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  16. If alpha, beta are the roots of the quadratic equation x^2 + bx - c = ...

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