Home
Class 12
MATHS
If the two equations x^2 - cx + d = 0 an...

If the two equations `x^2 - cx + d = 0` and `x^2- ax + b = 0` have one common root and the second equation has equal roots, then 2 (b + d) =

A

0

B

a + c

C

ac

D

`-ac`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If x^2 - cx +d =0 , x^2-ax +b=0 have one common root and second has equal roots then 2 (b+d) =

IF x^2 +bx +a=0, ax^2+x+b=0 have a common root and the first equation has equal roots then 2a^2+b=

If x^(2) -ax+b=0 and x^(2)-px + q=0 have a root in common and the second equation has equal roots, show that b + q =(ap)/2 .

If the equations ax^2 + bx + c = 0 and x^2 + x + 1= 0 has one common root then a : b : c is equal to

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If x^2-ax+b=0 and x^2-px+q=0 have a root in common then the second equation has equal roots show that b+q=(ap)/2

If the equation x^(2) - 3x + b = 0 and x^(3) - 4x^(2) + qx = 0 , where b ne 0, q ne 0 have one common root and the second equation has two equal roots, then find the value of (q + b) .

If the equations ax^2 + bx + c = 0 and x^3 + x - 2 = 0 have two common roots then show that 2a = 2b = c .

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then

If the equations x^2+ax+b=0 and x^2+bx+a=0 have one common root. Then find the numerical value of a+b.