The greatest value of a non-negative rea...

The greatest value of a non-negative real number `lamda` for which both the equations `2x^(2)+ (lamda-1)x+8=0 and x^(2)8x + lamda+4=0` have real roots is

A

9

B

12

C

15

D

16

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The value of a for which the equation 2x^(2) + 2sqrt(6) x + a = 0 has equal roots, is

Roots of the equation x^(4)-2x^(2)+4=0 forms a

If the equations x^(2) + ax+1=0 and x^(2)-x-a=0 have a real common root b, then the value of b is equal to

If the equation 2x^(2) + (a+3)x + 8 = 0 has equal roots, then one of the values of a is

The number of real roots of the equation |x|^(2) - 3|x| + 2 = 0 is a)1 b)2 c)3 d)4