A) (4, 3, 5)
B) (4, 9, -3)
C) (4, 9, 3)
D) (4, 3, -3)
E) (4, 9, 5)
Correct Answer: B
Solution :
Equation of sphere is, \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-6x-12y-2z+20=0\] Centre of sphere \[=(3,\,\,6,\,\,1)\]and one end of circle = \[(2,\,3,\,5)\] Let other end be\[(x,y,z)\] \[\therefore \] \[\frac{2+x}{2}=3,\,\,\,\,\frac{3+y}{2}=6,\,\,\,\frac{5+z}{2}=1\] Þ \[x=6-2\], \[y=12-3\], \[z=2-5\] Þ \[x=4,\,\,y=9,\,\,z=-3\] Hence, other end is (4, 9, ?3).
You need to login to perform this action.
You will be redirected in
3 sec
