If `alpha, beta` are the roots of `x^2 – 3x + lambda = 0 (lambda in R)` and `alpha < 1

If alpha, beta be the roots of 4x^2-17x+lambda=0, lambda in R such that 1 lt alpha lt 2 and 2 lt beta lt 3 then the number of integral values of lambda is

If alpha,beta be the roots of 4x^(2)-17x+lambda=0,lambda in R such that 1

Let alpha , beta be the roots of x^(2) + (3- lambda) x - lambda =0 , then the value of lambda for which alpha^(2) + beta^(2) is minimum, is-

If alpha,beta be the roots of the equation 4x^2-16x+lambda=0 , lambda in R such that 1

If alpha and beta are the roots of the equation x^(2)-5 lambda x-lambda^(2)=0 and alpha^(2)+beta^(2)=27/4 ,then the value of lambda^(2) is

If lambda is an integer and alpha, beta are the roots of 4x^(2) - 16x + lambda/4 such that 1 lt alpha lt 2 and 2 lt beta lt 3 , then how many values can 'lambda ' take ?

If alpha,beta are the roots of x^(2) + px - q =0 and lambda, delta x^(2) + px - q =0 and lambda, delta " are the roots of " x^(2) - px + r=0 " then what is " (beta + lamda) (beta +delta) equal to ?

If alpha , beta are the roots of lambda(x^(2)+x)+x+5 =0 and lambda_(1) , lambda_(2) are the two values of lambda for which alpha , beta are connected by the relation (alpha)/(beta)+(beta)/(alpha) =4, then the value of (lambda_(1))/(lambda_(2))+(lambda_(2))/(lambda_(1)) =

If alpha, beta, gamma be the roots of x^(3) + a^(3) = 0 (a in R) , then the number of equation(s) whose roots are ((alpha)/(beta))^(2) and ((alpha)/(gamma))^(2) , is