Home
Class 11
MATHS
a, b, c are positive numbers in G.P. and...

`a`, `b`, `c` are positive numbers in `G.P.` and the equation `(a+di)x^(2)+2(b+ei)x+(c+if)=0` have no real root. Then `(a)/(d)`, `(b)/(e)`, `(c )/(f)` are in `(a,b,c,d,e,f in R)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If a,b and c are distinct positive real numbers in A.P, then the roots of the equation ax^(2)+2bx+c=0 are

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

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3a cdot

a ,b ,c are positive real numbers forming a G.P. ILf a x 62+2b x+c=0a n ddx^2+2e x+f=0 have a common root, then prove that d//a ,e//b ,f//c are in A.P.

If a, b, c are in GP , then the equations ax^2 +2bx+c = 0 and dx^2 +2ex+f =0 have a common root if d/a , e/b , f/c are in

If the equation a x^2+b x+c=0,a ,b ,c , in R have none-real roots, then a. c(a-b+c)>0 b. c(a+b+c)>0 c. c(4a-2b+c)>0 d. none of these

If b^2<2a c , then prove that a x^3+b x^2+c x+d=0 has exactly one real root.

If a,b,c,d are positive real number with a + b + c + d=2 ,then M =(a+b)(c+d) satisfies the inequality

If a ,b ,c be the sides of A B C and equations a x^2+b x+c=0a n d5x^2+12x+13=0 have a common root, then find /_Cdot

Let a, b, c be district real numbers. If a, b, c are in G.P and a + b + C = bx , the x in