Home
Class 11
MATHS
a ,b ,c are positive real numbers formin...

`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.

Text Solution

Verified by Experts

N/a
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9K|6 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9L|10 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9I|8 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|12 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise MISC Exercise|16 Videos

Similar Questions

Explore conceptually related problems

a,b,c are positive real numbers forming a G.P. ILf ax^(2)+2bx+c=0 and x^(2)+2ex+f=0 . have a common root,then prove that (d)/(a),(e)/(b),(f)/(c) are in A.P.

If p, q, r are in G.P. and the equations, p x^2+2q x+r=0 and dx^2+2e x+f=0 have a common root, then show that d/p ,e/q ,f/r are in A.P.

Let a,b,c are positive real numbers forming an A.P,and ax^(2)+2bx+5c=0 has real roots,if

IF x^2 + a x + bc = 0 and x^2 + b x + c a = 0 have a common root , then a + b+ c=

If the equations ax^(2) +2bx +c = 0 and Ax^(2) +2Bx+C=0 have a common root and a,b,c are in G.P prove that a/A , b/B, c/C are in H.P