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``

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)):}

The roots of the equation x^(4)-2x^(3)+x-380=0 are

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

Find the set of all values of a for which the roots of the equation x^2-2ax + a^2 + a-3=0 are less than 3,

The roots of the equation x^(3) -2x^(2) -x +2 =0 are

All the values of m for whilch both the roots of the equation x^2-2m x+m^2-1=0 are greater than -2 but less than 4 lie in the interval -2 3 c. -1

The real roots of the equation |x|^3-3x^2+3|x|-2=0 are

The sum of roots of the equation x^2−∣2x−3∣−4=0 is

How many roots of the equation 3x^4+6x^3+x^2+6x+3=0 are real ?

How many roots of the equation 3x^4+6x^3+x^2+6x+3=0 are real ?