Home
Class 12
MATHS
" (Prove that) "|[y+z,x,y],[z+x,z,x],[x+...

" (Prove that) "|[y+z,x,y],[z+x,z,x],[x+y,y,z]|=(x+y+z)(x-z)^(2)

Promotional Banner

Similar Questions

Explore conceptually related problems

show that |[y+z ,x, y],[ z+x, z, x],[x+y, y ,z]|=(x+y+z)(x-z)^2

y+z,x,yz+y,z,xx+y,y,z]|=(x+y+z)(x-z)^(2)

Prove that |[y+z,z,y],[z,z+x,x],[y,x,x+y]]=4xyz

Prove that: |[y+z, z, y],[z, z+x, x], [y, x, x+y]|= 4 xyz

Prove that |[x+y+2z,x,y],[z,y+z+2x,y],[z,x,z+x+2y]|= 2(x+y+z)^(3)

Prove that |[x+y+2z,x,y],[z,y+z+2x,y],[z,x,z+x+2y]|= 2(x+y+z)^(3)

By using properties of determinants, prove that |[x+y+2z,x,y],[z,y+z+2x,y],[z,x,z+x+2y]|=2(x+y+z)^3

Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz

Prove that : |[x+y+z,-z,-y],[-z, x+y+z, -x],[-y,-x,x+y+z]|= 2(x+y)(y+z)(z+x)

prove that: |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz