In Figure, if `x+y=w+z ,` then prove that `A O B` is a line Fig.

In Fig. 6.16, if x+y=w+z , then prove that AOB is a line.

In Figure,if x+y=2+z, then prove that AOB is a line.

In Fig.6.16, if x+y=w+z, then prove that AOB is a line

In the given figure, if x+y=z+w then prove that AOB is a line.

In Figure,O is the centre of the circle,prove that /_x=/_y+/_z

If omega is non-real cube roots of unity,then prove that |(x+y omega+z omega^(2))/(xw+z+y omega^(2))|=1

If omega!=1 is a cube root of unity and x+y+z!=0, then prove that |x/(1+omega)y/(omega+omega^2)z/(omega^2+1)y/(omega+omega^2)z/(omega^2+1)x/(1+omega)(z z)/(omega^2+1)x/(1+omega)y/(omega+omega^2)|=0 if x=y=z

If A={a,b,c,d} and B={w,xy,z} , then which of the following is a relation from set A to B? Given reason: (i) R_(1)={(a,w),(a,x),(a,y),(a,z)} (ii) R_(2)={(w,b),(z,c),(y,d)} (iii) R_(3)={(a,y),(b,y),(w,y),(d,y)} (iv) R_(4)={(b,z),(b,y),(c-z),(c,w)}

In the adjoining figure, x : y : z=5 : 4 : 6 . If XOY is a straight line, find the values of x, y and z.

Points A( vec a),B( vec b),C( vec c)a n dD( vec d) are relates as x vec a+y vec b+z vec c+w vec d=0 and x+y+z+w=0,w h e r ex ,y ,z ,a n dw are scalars (sum of any two of x ,y ,zn a dw is not zero). Prove that if A ,B ,Ca n dD are concylic, then |x y|| vec a- vec b|^2=|w z|| vec c- vec d|^2dot