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

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

If A^(x)=G^(y)=H^(z) , where A,G,H are AM,GM and HM between two given quantities, then prove that x,y,z are in HP.

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in GP.

If x,y,z are integers and x ge 0 , y ge 1 , z ge 2 , x+y+z = 15 , then the number of values of the ordered triplet (x,y,z) is :

(b)Find x+y+z+w

In the given figure 4.13 ,xy and x'y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting xy at A and x'y' at B. Prove that angle AOB =90^@ .

The equation of the plane containing the line: 2x - 5y + z = 3, x + y + 4z = 5 and parallel to the plane x + 3y +6z = 1, is :

For any real number of x and y, cos x = cos y ,prove that x=2npi+-y where n in Z

Let R be a relation on the set Z of all integers defined by:(x,y) in R implies(x-y) is divisible by n.Prove that (b) (x,y) in R implies(y,x) in R for all x,y,z in Z .

If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the complex plane