In the given figure three lines bar(AB) , bar(CD) and bar(EF) intersecting at O. Find the values of x, y and z it is being given that x : y : z = 2 : 3 : 5

If tan^(-1)x , tan^(-1)y and tan^(-1)z are in A.P, find the algebric relation between x,y and z. If x,y,z be also in A.P. then show that x = y = z(y ne 0) .

If tan ^(-1)x , tan ^(-1) y and tan^(-1) z are in A.P find the agebraic realation between x, y and z, IF x,y , z be also in A.P then show that x =y =z [ y ne 0]

Find the values of x, y and z if {:[(x+y+z),(z+x),(y+z)]={:[(9),(5),(7)]

Find the value of x, y and z from the following equations: (i) [(4,3),(x,5)]=[(y,z),(1,5)] (ii) [(x+y, 2 ),(5+z, xy)]=[(6,2),(5,8)] (iii) [(x+y+z),(x+z), (y+z)]=[(9),(5),(7)]

(4, -3), (-5, 2) and (x, y) are the three vertices of a triangle. If the centroid of the triangle be the origen, find the values of x and y.

x varies directly with y and inversely with z. When y =5, z= 9 then x= 1/6 . Find the relation among three variables x,y and z and find the value of x when y = 6 and z = 1/5 .

Given that 'w' varies directly as the product of x and y and inversely as the square of z and that W = 4 when x = 2, y = 6 and z = 3 find the value of w when x =1, y = 4 and z = 2__

Given 3[(x,y),(z,w)]=[(x,6),(-1,2w)]+[(4,x+y),(z+w,3)] , find the values of x, y, z and w.

In a triangle XYZ, let x, y, z be the lengths of sides opposite to the angles X, Y, Z, respectively, and 2s = x + y + z. If (s-x)/4=(s-y)/3=(s-z)/2 and area of incircle of the triangle XYZ is (8pi)/3 . then the area of triangle XYZ is _