The determinant `|x p+y x y y p+z y z0x p+y y p+z|=0` if `x ,y ,z`

The determinant |(xp+y, x, y),(yp+z, y , z),(0, xp+y , yp+z)|=0 , if

Determinant (x-y)(y-z)(z-x)(x+y+z)

In the relation x > y+z , x+y > p a n d z p (b) x+y > z (c) y+p > x (d) insufficient data

Without expanding, prove that |a b c x y z p q r|=|x y z p q r a b c|=|y b q x a p z c r|

The repeated factor of the determinant |(y +z,x,y),(z +x,z,x),(x +y,y,z)| , is

What is the determinant of the matrix ({:(x,y,y+z),(z,x,z+x),(y,z,x+y):}) ?

The sides of triangle are denoted by x , y nd z . Area of the triangle and semiperimeter of the triangle are denoted by P and q respectively .If P= sqrtq (q-x)(q-y)(q-z) and x+y-z=y+z-x=z+x-y=4 Find P (in square units)

For every point P(x ,\ y ,\ z) on the xy-plane, a. x=0 b. y=0 c. z=0 d. x=y=z=0

If the lattice point P(x, y, z) , x, y, zgto and x, y, zinI with least value of z such that the 'p' lies on the planes 7x+6y+2z=272 and x-y+z=16, then the value of (x+y+z-42) is equal to