If alpha, beta are roots of the equation...

If `alpha, beta` are roots of the equation`x^(2)-p(x+1)-c=0` show that `(alpha+1)(beta+1)=1-c` Hence prove that `(alpha^(2)+2alpha+1)/(alpha^(2)+2alpha+c)+(beta^(2)+2beta+1)/(beta^(2)+2beta+c)=1`

A

3

B

2

C

1

D

0

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If alpha,beta are roots of the equation x^2-a(xx+1)-c=0, then write the value of (1+alpha)(1+beta)dot

If alpha,beta are the roots of the equation x^2-p(x+1)-c=0 then (alpha+1)(beta+1)= a) c b) c-1 c) 1-c d) none of these

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-p(x+1)-c , show that (alpha+1)(beta+1)=1-c .

If alpha and beta are roots of the equation 2x^(2)-3x-5=0 , then the value of (1)/(alpha)+(1)/(beta) is

If alpha and beta are roots of the equation x^(2)+x+1=0 , then alpha^(2)+beta^(2) is equal to

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

If alpha, beta are the roots of x^(2) + 7x + 3 = 0 then (alpha – 1)^(2) + (beta – 1)^(2) =

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

If alpha, beta in C are distinct roots of the equation x^2+1=0 then alpha^(101)+beta^(107) is equal to

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