Home
Class 12
MATHS
If alpha and beta are the distinct roots...

If `alpha and beta` are the distinct roots of `ax^(2)+bx+c=0`, where a, b and c are non-zero real numbers, then `(aalpha^(2)+balpha+6c)/(alphabeta^(2)+b beta+9c)+(abeta^(2)+b beta+19c)/(aalpha^(2)+balpha+13c)` is equal to

A

18c

B

27c

C

`(36)/(27)`

D

`(17)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of x ^(2) - ax + b ^(2) = 0, then alpha ^(2) + beta ^(2) is equal to

If a and b are the non-zero distinct roots of x^(2) + ax + b =0 , then the minimum value of x^2 + ax + b is

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, alphabeta=3 and a,b,c are in AP, then alpha+beta is equal to a)-4 b)1 c)4 d)-2

If alpha and beta are the roots of the equation 2x^(2)+2(a+b)x +a^(2)+b^(2)=0 , then find the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2) .

If alpha and beta are the roots of the equation ax^(2) + bx + c = 0, (c ne 0) , then the equation whose roots are (1)/(a alpha +b) and (1)/(a beta + b) is