[2 2 11-xLet A-12 5 2 and B-lo1 2 2xnumber of ordered triplet (x,y,z) is-(A) 2-y z18.00y 22 where xy.z e RIF B'AB-10 27 otheny zLoo 42)(B) 6(C) 8(D)

An ordered triplet solution (x,y,z) with x,y,z int (0,1) and satisfying x^(2)+y^(2)+z^(2) + 2xyz=1 is

If (1,2, p), (2, 8, -6) and (alpha^(2)-2alpha,p,1) are ordered triplet pair of the form (x, y, z) which satisfy all the equations (x)/(a)+(y)/(b)+(z)/(c )=1, (x)/(b)+(y)/(c )+(z)/(a)=1 and (x)/(c )+(y)/(a)+(z)/(b)=1, then the sum of all the values of alpha is equal to (where, ab+bc+ca ne0 )

If (1,2, p), (2, 8, -6) and (alpha^(2)-2alpha,p,1) are ordered triplet pair of the form (x, y, z) which satisfy all the equations (x)/(a)+(y)/(b)+(z)/(c )=1, (x)/(b)+(y)/(c )+(z)/(a)=1 and (x)/(c )+(y)/(a)+(z)/(b)=1, then the sum of all the values of alpha is equal to (where, ab+bc+ca ne0 )

The equation "cosec " x/2 + " cosec " y/2 + " cosec " z/2=6 , where 0 lt x, y,z lt pi/2 and x+y+z=pi , have i) Three Ordered triplet (x,y,z)solutions ii) Two ordered triplet (x,y,z) solutions. iii) Just one ordered triplet (x,y,z) solution iv) No ordered triplet (x,y,z) solution

Find x ,\ y and z so that A=B , where A=[x-2 3 2z 18 z y+2 6z] , B=[y z6 6y x2y]

If 3x-4y+z=7; 2x-z+3y=19 ; x+2y+2z=24 , then what is the value of z ? (a) 4 (b) 5 (c) 6 (d) 8

If a = b^(2x) , b = c^(2y) and c = a^(2z) , show that 8xyz = 1.

The points A(2-x,2,2), B(2,2-y,2), C(2,2,2-z) and D(1,1,1) are coplanar, then locus of P(x,y,z) is

The points A(2-x,2,2), B(2,2-y,2), C(2,2,2-z) and D(1,1,1) are coplanar, then locus of P(x,y,z) is