The total number of values a so that `x^2-x-a=0` has integral roots, where `a in Na n d6lt=alt=100` , is equal to a.`2` b. `4` c. `6` d. `8`

Match the following : {:("Column I" , " Column II"),(" (A) The total number or real solutions of the equation" (x^(2)-7x+1)^((x^(2)-11x+30)) =1 "is", "(p)" 2), ("(B) Total number of values of a so that " x^(2) -x-a=0 " has distinct integral roots, where a" in and 6 ge a ge 100 " is equal to " , "(q)" 4),("(C) The least value of n such that " (n-2)x^(2) + 8x + n +4 gt 0 AA x in R " where " n in N "is" , "(r)" 5 ),("(D) Total number of integral values of a such that " x^(2) +ax +a +1=0 " has integral roots is equal to " , "(t)" 8),(,"(t)"9):}

Total number of integral values of 'a' so that x^(2)-(a+1)x+a-1=0 has roots, is equal to :

The total number of integral values of a so that x^(2)-(a+1)x+a-1=0 ha integral roots is equal to 1 b.2 c.4d .none of these

Number of integral values of a for which the equation x^(2)-(a+1)x+a-1=0, has integral roots,is equal to -

Total number of integral values of a such that x^(2)+ax+a+1=0 has integral roots is equal to : (A) one 45. (B) two (C) three (D) four

if (x-a)(x-5)+2=0 has only integral roots where a in I, when value of 'a' can be: 8 b.7 c.6 d.5

The number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots are a.3 b.0 c.1 d.2

Consider the equation x^(2)+2x-n=0 where n in N and n in[5,100] The total number of different values of n so that the given equation has integral roots is a.8 b.3 c. 6d.4