x2+y2+x2=5,x+y+z=3 হলে yz + zx -xy এর মান কত?

x2+y2+x2=5,x+y+z=3 হলে yz + zx -xy এর মান কত?

  1. -5
  2. -4
  3. -3
  4. -2

Answer: -2

Explanation: দেওয়া আছে,
x2+y2+x2=5,x+y-z=3,yz+zx-xy (x+y-z)2=(x2+y2+z2) +2(xy-yz-zx)⇒(3)2=5+2(xy-yz-zx)⇒9=5 +2 (xy-yz-zx)⇒2(xy-yz-zx)=4⇒xy-yz-xy=2⇒yz +zx-xy=-2⇒yz +zx-xy=-2

Leave a Reply

Your email address will not be published. Required fields are marked *