Home
Class 11
MATHS
The roots of ax^(2) +2bx+c= 0 and bx^(2)...

The roots of `ax^(2) +2bx+c= 0 and bx^(2) - sqrt(ac) x +b= 0` are simultaneously, real then

A

`ac=b^(2)`

B

`4b^(2)=ac`

C

`a=b, c=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let alpha_(1),alpha_(2) and beta_(1),beta_(2) be the roots of ax^(2) + bx + c = 0 and px^(2) + qx + r = 0 respectively. If the system of equations alpha_(1)y + alpha_(2)z= 0 and beta_(1) y + beta_(2) z = 0 has a non - trivial solution, then a) b^(2) pr = q^(2) ac b) bpr^(2) = qac^(2) c) bp^(2)r = qa^(2)c d)None of these

If the ratio of the roots of ax^(2) +2bx+c=0 is same as the ratio of the px^(2)+2qx +r= 0 , then prove that (b^(2))/(ac)= (q^(2))/(pr)

If the roots of the equation x ^(2) + 2 bx + c =0 are alpha and beta, then b ^(2) - c is equal to

For a ne b, if the equation x ^(2) + ax + b =0 and x ^(2) + bx + a =0 have a common root, then the value of a + b equals to: