" If "x^(3)-x^(2)+33x+5=0," then "s_(1),s_(2),s_(3)" are "

If 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 then s_(1), s_(2), s_(3) , s_(4) are

If 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 then s_(1), s_(2), s_(3) , s_(4) are

If 3x^(4)-27x^(3)+36x^(2)-5=0 then s_(1)+s_(2)=

If x^(3)+2x^(2)-3x-1=0 then S_(3) is =

If x^(4) -16x^(3) + 86x^(2) - 17x + 105 = 0 then s_(1), s_(2) , s_(3), s_(4) are

If alpha, beta, gamma are the roots of x^(3) - x^(2) + 33x + 5 = 0 and A = s_(1), B = s_(2), C = s_(3) then the dscending order of A, B, C is

If s_(1),s_(2),s_(3)...s_(r) are the sum of the products of the roots taken 'r' at a time then for x^(5)-x^(2)+4x-9=0 , then s_(3)+s_(4)-s_(5)=

Let each of the circles, S_(1)=x^(2)+y^(2)+4y-1=0 , S_(2)=x^(2)+y^(2)+6x+y+8=0 , S_(3)=x^(2)+y^(2)-4x-4y-37=0 touches the other two. Let P_(1), P_(2), P_(3) be the points of contact of S_(1) and S_(2), S_(2) and S_(3), S_(3) and S_(1) respectively and C_(1), C_(2), C_(3) be the centres of S_(1), S_(2), S_(3) respectively. Q. The co-ordinates of P_(1) are :

Let each of the circles, S_(1)=x^(2)+y^(2)+4y-1=0 , S_(2)=x^(2)+y^(2)+6x+y+8=0 , S_(3)=x^(2)+y^(2)-4x-4y-37=0 touches the other two. Let P_(1), P_(2), P_(3) be the points of contact of S_(1) and S_(2), S_(2) and S_(3), S_(3) and S_(1) respectively and C_(1), C_(2), C_(3) be the centres of S_(1), S_(2), S_(3) respectively. Q. The co-ordinates of P_(1) are :

If S_(1) and S_(2) are respectively the sets of local minimum and local maximum point of the function, f(x)=9x^(4)+12x^(3)-36x^(2)+25, x in R , then (a) S_(1)={-2}:S_(2)={0,1} (b) S_(1)={-2,0}:S_(2)={1} (c) S_(1)={-2,1}:S_(2)={0} (d) S_(1)={-1}:S_(2)={0,2}