If x=cy+bz,y=az+cx,z=bx+cy, then prove that a^2+b^2+c^2+2abc=1

preview_player
Показать описание
Dr. Debprasad Majumder
  1. Mathematics for Mankind- online class
  2. If x=cy bz
  3. y=az cx
  4. z=bx cy
  5. then prove that a^2 b^2 c^2 2abc=1 a^2 b^2 c^2 2abc=1 x=cy bz y=az cx z=bx cy dpmsir IMO fiitjee mts
Рекомендации по теме
If x=cy+bz,y=az+cx,z=bx+cy, then 0:06:21

If x=cy+bz,y=az+cx,z=bx+cy, then prove that a^2+b^2+c^2+2abc=1

If x=cy+bz,y=az+cx,z=bx+ay then 0:06:00

If x=cy+bz,y=az+cx,z=bx+ay then prove that, x^2/1-a^2=y^2/1-b^2 #X #DpmSir

If x=cy+bz,y=az+cx,z=bx+cy, then 0:07:39

If x=cy+bz,y=az+cx,z=bx+cy, then prove that x^2/(1-a^2)=y^2/(1-b^2)=z^2/(1-c^2)

x=cy+bz, y=az+cx, z=bx+ay 0:05:29

x=cy+bz, y=az+cx, z=bx+ay then prove that x^2 : y^2 = 1 - a^2 : 1 - b^2

If `x = 0:03:36

If `x = cy + bz, y = az + cx , z =bx + ay,` then prove that `x^2/(1-a^2)= y^2/(1-b^2)`

If `x@ + 0:02:30

If `x@ + y^2 + z^2!=0, x=cy + bz, y = az + cx`, and `z = bx + ay`, then `a^2 + b^2 + c^2 + 2ab

Given x=cy+bz,y=az+cx and 0:03:02

Given x=cy+bz,y=az+cx and z=bx+ay, then prove `a^(2) +b^(2) +c^(2) `+2abc =1.

If, x=cy+bz,y=az+cx,z=bx+ay; then 0:08:32

If, x=cy+bz,y=az+cx,z=bx+ay; then prove that x^2:y^2=1-a^2:1-b^2

If x=cy+bz, y=az+cx, 0:11:06

If x=cy+bz, y=az+cx, z=bx+ay, then prove that x²/1-a²=y²/1-b²=z²/1-c²

If, bz+cy/a=cx+az/b=ay+bx/cThen prove 0:08:03

If, bz+cy/a=cx+az/b=ay+bx/cThen prove that x/a(b^2+c^2-a^2)=y/b(c^2+a^2-b^2)=z/c(a^2+b^2-c^2)

If `(ay-bx)/c = 0:04:07

If `(ay-bx)/c = (cx - az)/b = (bz - cy)/a , ' then prove that ' x/a = y/b = z/c `.

If x=cy+bz, y=az+cx, 0:05:31

If x=cy+bz, y=az+cx, z=bx+ay where x,y,z are not all zeros, then find the value of a^2+b^2+c^2+2abc

Given, x=c y+b 0:03:43

Given, x=c y+b z, y=a z+c x, z=b x+a y, where x, y, z are not all zero, prove that a^2+b^2+c^2+2 ...

If `x, y, 0:03:47

If `x, y, z` are not all zero & if `ax + by + cz=0, bx+ cy + az=0 & cx + ay + bz = 0`, the...

(ay-bx)/c=(cx-az)/b=(bz-cy)/a || prove 0:05:18

(ay-bx)/c=(cx-az)/b=(bz-cy)/a || prove that x/a=y/b=z/c || doubt shared by Rahul kumar

Given planes `P_1:cy+bz=x` 0:03:29

Given planes `P_1:cy+bz=x` `P_2:az+cx=y` `P_3:bx+ay=z` `P_1, P_2 and P_3

if bz-cy/b-c=cx-az/c-a then 0:10:31

if bz-cy/b-c=cx-az/c-a then prove that value of each ratio ay-cx/a-b # X #DpmSir

If `x = 0:03:03

If `x = cy + bz, y = cx + az, z = bx + ay`, the value of `a² + b^2 + c^2 - 1` is

If bz+cy/b-c=cx+az/c-a=ay+bx/a-b then 0:14:28

If bz+cy/b-c=cx+az/c-a=ay+bx/a-b then (a+b+c)(x+y+z)=ax+by+cz

If `x^2+y^2+z^2 ne0, 0:03:46

If `x^2+y^2+z^2 ne0, x=cy+bz,y=az+cxandz=bx+ay' then 'a^2+b^2+c^2+2abc=`

If x(b-c)+y(c-a)+z(a-b)=0 then 0:01:52

If x(b-c)+y(c-a)+z(a-b)=0 then show that (bz-cy)/(b-c)=(cz-az)/(c-a)=(ay-bx)/(a-b).

If the system 0:05:04

If the system of equations `x=c y+b z` `y=a z+c x` `z=b x+a y` has a non-trivial solution, show ...

Given that the 0:12:05

Given that the system of equations x=c y+b z, y=a z+c x, z=b x+a y has nonzero solutions and at l...

If bz-cy/b-c=cx-az/c-a, let 0:04:33

If bz-cy/b-c=cx-az/c-a, let us prove that each ratio equal to ay-bx=a-b. #X #DpmSir