If one roots of the equation (x^(2))/(a)...

If one roots of the equation `(x^(2))/(a) + (x)/(b) + (1)/(c ) = 0` is reciprocal of the other, then which one of the following is correct?

A

a=b

B

b=c

C

ac = 1

D

a=c

Verified by Experts

Similar Questions

Explore conceptually related problems

If one root of the equation ax^(2) + bx+ c = 0, a !=0 is reciprocal of the other root , then which one of the following is correct?

When the roots of the quadratic equation ax^2 + bx + c = 0 are negative of reciprocals of each other, then which one of the following is correct ?

If one root of the equation is reciprocal to the other root, which of the following is correct?

If the roots of the equation (a^(2) + b^(2)) x^(2) - 2b ( a+c) x+ ( b^(2) + c^(2)) = 0 are equal , then which one of the following is correct ?

If one root of the equation (k-1)x^(2) - 10x+ 3 = 0 is the reciprocal of the other, then the value of k is___________ .

If one of the roots of the equation px^(2)+qx+r=0 is three times the other, then which one of the following relations is correct ?