If `alpha, beta` be the roots of `4x^(2) - 16x + c = 0, c in R` such that `1 lt alpha lt 2 and 2 lt beta lt 3`, then the number of integral values of c is

If alpha, beta be the roots of 4x^(8) - 16x + c = 0, c in R such that 1 lt alpha lt 2 and 2 lt beta lt 3 , then the number of integral values of c is

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 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) - 3x + a = 0 , a in R and lt 1 lt beta, then find the values of a

If alpha, beta are the roots of x^(2) - 3x + a = 0 , a in R and lt 1 lt beta, then find the values of a

If alpha, beta are the roots ax^(2) + bx + c = 0 and k in R . Then the condition so that alpha lt k lt beta is

If alpha and beta are the roots of the equation x^(2)+alpha x+beta=0 such that alpha ne beta , then the number of integral values of x satisfying ||x-beta|-alpha|lt1 is

If alpha and beta are the roots of the equation x^(2)+alpha x+beta=0 such that alpha ne beta , then the number of integral values of x satisfying ||x-beta|-alpha|lt1 is

If alpha,beta(alpha lt beta) are the real roots of equation x^2-(k+4)x+k^2-12=0 such theta 4 in (alpha,beta) , then the number of integral value of k is equal to

If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 such that alpha ne beta and ||x-beta|-alpha|| lt alpha , then