Home
Class 11
MATHS
If alpha, beta are the roots of the quad...

If `alpha, beta` are the roots of the quadratic equation `6x^(2)-6x+1=0`, then
`(1)/(2) (a+balpha+c alpha^(2)+d alpha^(3))+(1)/(2) (a+b beta+c beta^(2)+ d beta^(3))=` …..

A

`1/4 (a+b+c+d)`

B

`(a)/(1) + (b)/(2) + (c )/(3) + ( d)/(4)`

C

`(a)/(2) - (b )/(2)+ ( c )/(3) - (d )/(4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha, beta are the roots of the equation 5x^(2)-5x+1=0 , then find the value of (1)/(2)(a+b alpha+c alpha^(2)+d alpha^(3))+(1)/(2)(a+b beta+c beta^(2)+d beta^(3)) .

If alpha,beta are the roots of the quadratic equation 4x^(2)-4x+1=0 then alpha^(3)+beta^(3)=

If alpha and beta are the roots of the quadratic equation x^(2)-3x-2=0, then (alpha)/(beta)+(beta)/(alpha)=

If alpha and beta are the roots of the quadratic equation 2x^2+6x-5=0 , then find (alpha+beta) and alpha xx beta .

If alpha and beta are the roots of the quadratic equation 2x^2+6x-5=0 , then find (alpha+beta) and alpha xx beta .

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha^2 + beta^2

If alpha,beta are the roots of the equation x^(2)-p(x+1)-c=0, then (alpha+1)(beta+1)=

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha/beta + beta/alpha

If alpha and beta are the roots of the quadratic equation x^(2)-6x+1=0, then the value of (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is

If alpha and beta are the roots of the equation 3x^(2)+8x+2=0 then ((1)/(alpha)+(1)/(beta))=?