Home
Class 11
MATHS
If a, b and c are positive numbers such ...

If a, b and c are positive numbers such that `a gt b gt c` and the equation `(a+-2c) x^(2) + (b+c- 2a) x+(c+a -2b)=0` has a root in the interval `(-1, 0)` then

A

b cannot be the G.M of a,c

B

b may be the G.M of a,c

C

b is the G.M of a,c

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If the roots of the equation a(b-c)x^(2) + b(c-a) x+c(a-b)=0 are equal, then prove that a, b, c are in H.P

The quadratic equation (x-a) (x-b)+ (x-b)(x-c) + (x-c) (x-a) =0 has equal roots, if

If a and b are positive numbers such that a gt b , then the minimum value of a sec theta- b tan theta (0 lt theta lt pi/2) is a) 1/sqrt(a^2-b^2) b) 1/sqrt(a^2+b^2) c) sqrt(a^2+b^2) d) sqrt(a^2-b^2)