If `x^3+3x^2-9x+c` is of the form `(x-alpha)^2(x-beta)` , then `c` is equal to a.`27` b. `-27` c. `5` d. `-5`

If 3^(x-y)=27, and 3^(x+y)=243, then x is equal to a.0 b.2 c.4 d.6

The set of values of c for which x^(3)-6x^(2)+9x-c is of the form (x-a)^(2)(x-b)(a,b is real) is given by

If (x,3)+(2,5)=(7,8) then x is equal to a)2 b)5 c)7 d)9

If 2^(x)=root(3)(32), then x is equal to a.5b.3c.(3)/(5) d.(5)/(3)

If x^(3)+3x^(2)-9x+c=0 have roots alpha,alpha and beta then possible value of alpha+beta is

lim_(x to 3) (x^(2) - 27)/(x^(2) - 9) is equal to

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If x ,2x+2,a n d3x+3 are the first three terms of a G.P., then the fourth term is a. 27 b. -27 c. 13.5 d. -13.5

The quadratic equation x^(2)-9x+3=0 has roots alpha and beta. If x^(2)-bx-c=0 has roots alpha^(2) and beta^(2), then (b,c) is (75,-9) b.(-75,9) c.(-87,4) d.(-87,9)