If `a+2b+3c=4,` then find the least value of `a^2+b^2+c^2dot`

If a and b(!=0) are the roots of the equation x^2+a x+b=0, then find the least value of x^2+a x+b(x in R)dot

If (a, b, c) is a point on the plane 3x + 2y + z = 7, then find the least value ofvector method. a^2+b^2+c^2, using vector method.

If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot

If the planes x-c y-b z=0,c x-y+a z=0a n d b x+a y-z=0 pass through a straight line, then find the value of a^2+b^2+c^2+2a b c dot

If vec x , vec y are two non-zero and non-collinear vectors satisfying [(a-2)alpha^2+(b-3)alpha+c] vec x+[(a-2)beta^2+(b-3)beta+c] vec y+[(a-2)gamma^2+(b-3)gamma+c]( vec xxx vec y)=0, w h e r ealpha,beta,gamma are three distinct real numbers, then find the value of (a^2+b^2+c^2-4)dot

If a + b + c = 0 and a^(2) + b^(2) + c^(3) = 4, them find the value of a^(4) + b^(4) +c^(4) .

Let a ,b and c be real numbers such that a+2b+c=4 . Find the maximum value of (a b+b c+c a)dot

If a,b,c are positive real numbers and 2a+b+3c=1 , then the maximum value of a^(4)b^(2)c^(2) is equal to

If a=4,b=5 and c=6 then find the value of [((ab+bc+ca-a^(2)-b^(2)-c^(2)))/((3abc-a^(3)-b^(3)-c^(3)))]

If [ vec a vec b vec c]=2, then find the value of [( vec a+2 vec b- vec c)( vec a- vec b)( vec a- vec b- vec c)]dot