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 be the set of 4-digit numbers a_1 a_2 a_3 a_4 where a_1 > a_2 > a_3 > a_4 , then n(A) is equal to

Let A be the set of 4-digit numbers a_1 a_2 a_3 a_4 where a_1 > a_2 > a_3 > a_4 , then n(A) is equal to

If a_0, a_1, a_2, a_3 are all the positive, then 4a_0x^3+3a_1x^2+2a_2x+a_3=0 has least one root in (-1,0) if

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: A. 2.3^9 B. 3^9 C. 2.3^(10) D. 3^(12)

If a_0, a_1, a_2, a_3 are all the positive, then 4a_0x^3+3a_1x^2+2a_2x+a_3=0 has least one root in (-1,0) if (a) a_0+a_2=a_1+a_3 and 4a_0+2a_2>3a_1+a_3 (b) 4a_0+2a_2<3a_1+a_3 (c) 4a_0+2a_2=3a_1+a_0 and 4a_0+a_2lta_1+a_3 (d) none of these

If alpha,beta,gamma,delta in R satisfy ((alpha+1)^2+(beta+1)^2+(gamma+1)^2+(delta+1)^2)/(alpha+beta+gamma+delta) = 4 If biquadratic equation a_0 x^4 + a_1 x^3 + a_2 x^2 + a_3 x _ a_4 =0 has the roots (alpha+1/beta -1),(beta +1/gamma -1),(gamma+1/delta -1),(delta+1/alpha -1) . then the value of a_2/a_0 is

If roots of an equation x^n-1=0a r e1,a_1,a_2,..... a_(n-1), then the value of (1-a_1)(1-a_2)(1-a_3)(1-a_(n-1)) will be n b. n^2 c. n^n d. 0

Find the number of all three elements subsets of the set {a_1, a_2, a_3, a_n} which contain a_3dot

If a_1,a_2,a_3,a_4 are in HP , then 1/(a_1a_4)sum_(r=1)^3a_r a_(r+1) is root of :

Arithmetic mean a, geometric mean G and Harmonic mean H to n positive numbers a_1,a_2,a_3,…..,a_n are given by A=(a_1+a_2+……………+a_n)/n, G=(a_1 a_2 a_n)^(1/2) and G= n/(1/H_1+1/H_2+………+1/H_n) There is a relation in A, G and H given by AgeGgeH equality holds if and only if a_1=a_2=..............=a_n On the basis of above information answer the following question If a_rgt0 or r=1,2,.......6 and a_1+a_2+.....+a_6=3, M=(a_1+a_2)(a_3+a_4)(a_5+a_6) . Then the set of all possible values of M is (A) (0,3] (B) (0,2] (C) (0,1] (D) none of these