ಮೊತ್ತ_(i=1)^(7) i^(2)x_(i) = 1 ಮತ್ತು ಮೊತ್ತ_(i=1)^(7)(i+1)^(2) x_(i) = 12 ಮತ್ತು ಮೊತ್ತ_ (i=1)^(7)(i+2)^(2)...

If sum_(i=1)^(7) i^(2)x_(i) = 1 and sum_(i=1)^(7)(i+1)^(2) x_(i) = 12 and sum_(i=1)^(7)(i+2)^(2)x_(i) = 123 then find the value of sum_(i=1)^(7)(i+3)^(2)x_(i)"____"

If sum_(i=1)^(2n)cos^(-1)x_(i)=0 , then sum_(i=1)^(2n)x_(i) is :

1/(6i)+1/(7i)=x/(8i)

A data consists of n observations : x_(1), x_(2),……, x_(n) . If Sigma_(i=1)^(n)(x_(i)+1)^(2)=11n and Sigma_(i=1)^(n)(x_(i)-1)^(2)=7n , then the variance of this data is

If sum_(i=1)^(2n)cos^(-1)x_(i)=0 then find the value of sum_(i=1)^(2n)x_(i)

If sum_(i=1)^(2n)sin^(-1)x_(i)=n pi then find the value of sum_(i=1)^(2n)x_(i)

(i+(2)/(i))((1-i)/(1+i))=x+iy

(a) Write the conjugates of the following: (i) 3+i (ii) 3-i (iii) -sqrt(5)-sqrt(7)i (iv) -sqrt(5)i (v) (4)/(5) (vi) 49-(i)/(7) (vii) (1-i)/(1+i) (viii) (1+i)^(2) (ix) (2+5i)^(2) (x) (-2-(1)/(3)i)^(3) (b) Find the real number x and y if: (i) (x-iy)(3+5i) is the conjugate of -6-24 i (ii) -3+ix^(2)y and x^(2)+y+4i are congugate of each other.

Find the real values of x and y for which : {:((i),(1-i)x+(1+i)y=1 - 3i,(ii),(x+iy)(3-2i)=(12+5i)),((iii),x+4yi =ix + y + 3,(iv),(1+i)y^(2)+(6+i)=(2+i)x),((v),((x+3i))/((2+iy))=(1-i),(vi),((1+i)x-2i)/((3+i))+((2-3i)y+i)/((3-i))=i):}