If `s_1,s_2s_3,......s_r` are the sum of the products of the roots taken `'r'` at a time then for `2x^9 - 5x^4 + k = 0, s_r = 16 => k =`

If s_(1),s_(2)s_(3),......s_(r) are the sum of the products of the roots taken rat a time then for 2x^(9)-5x^(4)+k=0,s_(r)=16rArr k=

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 => s_3 +s_4 - s_5 =

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)=

If S be the sum P the product and R be the sum of the reciprocals of n terms of a GP then p^2 is equal to S//R b. R//S c. (R//S)^n d. (S//R)^n

Show that the radii of the three escribed circles of a triangle are roots of the equation, x^3 - x^2 (4R +r)+ x s^2 - r s^2 =0 .

S_(r) denotes the sum of the first r terms of an AP.Then S_(3d):(S_(2n)-S_(n)) is -

If r and s are the roots of the equation ax^2+ bx + c= 0 , then the value of 1/r^2+1/s^2=

If S be the sum P the product and R be the sum of the reciprocals of n terms of a GP then p^(2) is equal to S/R b.R/S c.(R/S)^(n) d.(S/R)^(n)

IF one root of the equation x^2-rx-s=0 is square of the other, prove that , r^3-s^2+3sr+s=0 .