If a, b, c are In G.P., Then The Equations ax2 + 2bx + c = 0 And dx2 + 2ex +f = 0 Have A Common Root If  are In

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Question

If abc are in G.P., then the equations ax2 + 2bx + c = 0 and dx2 + 2ex +f = 0 have a common root if  are in

Solution

Correct option is

A.P.

  

            

.  

Since the two equations have common roots therefore  must also be roots of 2nd equation. 

    

   

SIMILAR QUESTIONS

Q1

 

If lmn are real, , then the roots of the equation

      .

Q2

The real value of a for which the sum of the square of the roots of the equation  assume the least value is