The sets of the value of 'a' for which the equation `x^4+4x^3+ax^2+4x+1=0` + has all its roots real given by `(a_1,a_2)uu{a_3}`. then `|a_3+a_2|` is

The sets of the value of 'a' for which the equation x^(4)+4x^(3)+ax^(2)+4x+1=0+ has all its roots real given by (a_(1),a_(2))uu{a_(3)}. then |a_(3)+a_(2)| is

Let (a_1, a_2, a_3, a_4, a_5) denote a re-arrangement of (1, -4, 6, 7, -10). Then the equation a_1x^4 + a_2x^3 + a_3x^2 + a_4x + a_5 = 0 has at least two real roots. Statement (2): If ax^2+bx+c=0 & a+b+c=0, (i.e. in a polynomial the sum of coefficients is zero) then x = 1 is root of ax^2 + bx + c = 0.

The average of a_1, a_2, a_3, a_4 is 16. Half of the sum of a_2, a_3, a_4 is 23. What is the value of a_1

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is:

Consider the following statements : A number a_1 a_2 a_3 a_4 a_5 is divisible by 9 if 1. a_1 + a_2 + a_3 + a_4 + a_5 is divisible by 9. 2. a_1 - a_2 + a_3 - a_4 + a_5 is divisible by 9. Which of the above statements is/are correct?

If a_1, a_2, a_3 ,........ are in A.P. such that a_1 + a_5 + a_10 + a_15 + a_20 + a_24 = 225 , then a_1 + a_2+ a_3 + ......+ a_23 +a_24 is equal to

If the point A_1, A_2,….,A_8 be the affixes of the roots of the equation z^8-1=0 in the argand plane, then the area of the triangle A_3 A_6 A_7 is equal to