Home
Class 11
MATHS
If A.M of the roots of x^2 - 2ax+ b^2= 0...

If A.M of the roots of `x^2 - 2ax+ b^2= 0` is equal to the .........of the roots of the equation `x^2-2bx+a^2=0`

A

`A gt G`

B

`A ne G`

C

`A = G`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

if the difference of the roots of the equation x^(2)+ ax +b=0 is equal to the difference of the roots of the equation x^(2) +bx +a =0 ,then

Find the root of the quadratic equation bx^2-2ax+a=0

If the ratio of the roots of the equation ax^(2)+bx+c=0 is equal to ratio of roots of the equation x^(2)+x+1=0 then a,b,c are in

If the ratio of the roots of the equation x^(2)+px+q=0 are equal to ratio of the roots of the equation x^(2)+bx+c=0, then prove that p^(2c)=b^(2)q

If the roots of the equaton 2x^(2)-3x+5=0 are reciprocals of the roots of the equation ax^(2)+bx+2=0 then :

p, q, r and s are integers. If the A.M. of the roots of x^(2) - px + q^(2) = 0 and G.M. of the roots of x^(2) - rx + s^(2) = 0 are equal, then

If the roots of the equation ax^(2)+bx+c=0 are the reciprocals of the roots of the equation px^(2)+qx+r=0 then

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 What is the sum of the squares of the roots of the equation x^(2) + 2x-143 =0