lf `alpha and beta` are the real roots of the equation `p^(1/3)-1/p^(1/3) -sqrt2=0` then how many statement(s) is(are) correct? `s_1 : log_(5sqrt2) ((alpha-1/alpha)(beta-1/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 equations x^2-p(x+1)-c=0 , then (alpha+1)(beta+1)_ is equal to:

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

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 be the roots of the equation x^2-1=0 , then show that. alpha+beta=(1)/(alpha)+(1)/(beta)

If alpha,beta,gamma are the real roots of the equation,x^(3)-3px^(2)+3qx-1=0, the centroid of the triangle whose vertices are (alpha,(1)/(alpha)),(beta,(1)/(beta)),(gamma,(1)/(gamma))quad is(p,p)(b)(p,0)(p,q)(d)(q,0)

If alpha,beta,gamma are the real roots of the equation,x^(3)-3px^(2)+3qx-1=0, the cetroid of the triangle whose vertices are (alpha,(1)/(alpha)),(beta,(1)/(beta)),(gamma,(1)/(gamma)) is: a.(p,p) b.(p,0) c.(p,q) d.(q,0)

If alpha,beta,gamma are the real roots of the equation x^(3)-3ax^(2)+3bx-1=0 then the centroid of the triangle with vertices (alpha,(1)/(alpha))(beta,(1)/(beta)) and (gamma,1/ gamma) is at the point

If alpha and beta are the roots of the equation x^(2)-p(x+1)-q=0 then the value of (alpha^(2)+2 alpha+1)/(alpha^(2)+2 alpha+q)+(beta^(2)+2 beta+1)/(beta^(2)+2 beta+q) is (A)1(B)2 (C) 3(D)0