If `alpha_1, alpha_2` be the roots of the equation `x^2-px+1=0 and beta_1,beta_2` be those of equatiion `x^2-qx+1=0 and vecu=alpha_1hati+alpha_2hatj,and vecv=beta_1hati+beta_2hatj` is parallel.

If alpha_1,alpha_2 are the roots of equation x ^2-p x+1=0a n dbeta_1,beta_2 are those of equation x^2-q x+1=0 and vector alpha_1 hat i+beta_1 hat j is parallel to alpha_2 hat i+beta_2 hat j , then p= a. +-q b. p=+-2q c. p=2q d. none of these

If alpha_1, alpha_2 be the roots of equation x^2+px+q=0 and beta_1,beta be those of equation x^2+rx+s=0 and the system of equations alpha_1y+alpha_2z=0 and beta_1 y+beta_2 z=0 has non trivial solution, show that p^2/r^2=q/s

If alphaand beta the roots of the equation px^2+qx+1=0, find alpha^2beta^2.

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

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

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

If alpha and beta are the roots of the equation px^(2) + qx + 1 = , find alpha^(2) beta + beta^(2)alpha .

If alpha, beta are the roots of the equations x^2+px+q=0 then one of the roots of the equation qx^2-(p^2-2q)x+q=0 is (A) 0 (B) 1 (C) alpha/beta (D) alpha 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 alphabeta the roots of the equation x^2-x-1=0 , then the quadratic equation whose roots are (1 + alpha)/(2 -alpha),(1 + beta)/(2 - beta)