If the roots of the equation `x^2-2a x+a^2-a-3=0` are real and less than 3, then (a)`a<2` b. `2<-alt=3` c. `34`

If the roots of the equation x^(2)-4ax+4a^(2)+2a-3=0 are real and less than 3, then

If roots of the equation x^(2)-2ax+a^(2)+a-3=0 are real and less than 3 then a)a 4

Match the following {:("Column-I" , " Column -II"),("(A) if the roots of the equation" x^(2) -2ax +a^(2)+a-3=0 " are real and less than 3, then a belongs to " , "(p) a does not exist" ),("(B) If the roots of the equation " x^(2) -2ax +a^(2)+a-3=0 " are real and greater than , 3 then a belongs to " , "(q) " (3/2","3)),("(C) If exactly one root of the above equation lies in the interval (1,3) then a belongs to " , "(r) " (-1","2) cup (2","3)),("(D) IF the roots of the above equation are such that one root is greater than 3 and other smaller than 1, then a belongs to " , "(s) " (-oo","2)):}

If the roots of the equation x^(2)-2ax+a^(2)+a -3=0 are real and less than 3, then which one of the following is correct ?

The number of real roots of the equation x^2-3 modx +2=0 is