A) \[bcx+cay+abz=0\]
B) \[bcx+cay-abz=0\]
C) \[bcx-cay+abz=0\]
D) \[-bcx+cay+abz=0\]
Correct Answer: B
Solution :
\[A\,(0,\,\,b,\,\,c)\] in yz-plane and \[B\,(a,\,\,0,\,\,c)\] in zx-plane. Plane through O is \[px+qy+rz=0.\] It passes through A and B. \[\therefore \,\,0p+qb+rc=0\] and \[pa+0q+rc=0\] \[\Rightarrow \,\,\frac{p}{bc}=\frac{q}{ca}=\frac{r}{-ab}=k\] \[\Rightarrow \,\,p=bck,\,\,q=cak\] and \[r=-abk.\] Hence required plane is \[bcx+cay-abz=0\].
You need to login to perform this action.
You will be redirected in
3 sec
