If the roots of equation `(a + 1)x^2-3ax + 4a = 0` (a is not equals to -1) are greater than unity, then

If one root of the equation x^2 - 3kx + (2k -1) = 0 is less than 2 and other root is greater than 4 , then minimum possible integral value of k is

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)):}

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 ax^(2) + bx + c = 0 (a gt 0) be each greater than unity, then

If the roots of ax^(2) + bx + c = 0 (a gt 0) be each greater than unity, then

If the roots of x^2+bx+c =0 are both real and greater than unity, then (b+c+1)

Find the values of a for which one root of equation (a-5)x^(2)-2ax+a-4=0 is smaller than 1 and the other greater than 2.