Number of divisors of `N = a^x b^y c^z d^w e^u` is

If n=10800, then find the a. total number of divisors of n. (b) The numberof even divisors. (c) The number of divisors of the form 4m+2. (d) The number of divisors which are multiples of 15.

If n=10800, then find the a. total number of divisors of n. (b) The numberof even divisors. (c) The number of divisors of the form 4m+2. (d) The number of divisors which are multiples of 15.

Let N be the number of points (x, y, z) in space such that x+y+z=12 , where x, y, z in N . The number of divisors of N is equal to

If a^x=b^y=c^z=d^w then log_a(bcd)=

If a,b,c,d are in GP and a^x=b^y=c^z=d^u , then x ,y,z,u are in

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

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

If a,b,c,d be in G.P. and a^x=b^y=c^z=d^w , prove that 1/x,1/y,1/z,1/w are in A.P.

If a,b,c,d be in G.P. and a^x=b^y=c^z=d^w , prove that 1/x,1/y,1/z,1/w are in A.P.