Equation of normal to the ellipse ax2+by2+cz2=1 is aαx−α=bβy−β=cγz−γ
For the given elllipse a=91;b=41;c=1
xo/9x−xo=yo/4y−yo=zoz−zo
When x=0;y=4−5yo;z=−8zo
Q1=(0,4−5yo,−8zo)
When z=0;x=8xo/9;y=3yo/4
Q3=(8xo/9,3yo/4,0)
When y=0;x=95xo;z=−3zo
Q2=(95xo,0,−3zo)
P=(xo,yo,zo)
PQ1=(xo−0)2+(yo+45yo)2+(zo+8zo)2 PQ1=(xo)2+(49yo)2+(9zo)2
PQ1=16xo2+81yo2+362zo2/4
PQ3=(xo−8xo/9)2+(yo−3yo/4)2+(zo−0)2 PQ3=16xo2+81yo2+362zo2/36
PQ2=(xo−95xo)2+(yo−0)2+(zo+3zo)2 PQ2=(94xo)2+(yo)2+(4zo)2
PQ2=16xo2+81yo2+362zo2/9
PQ1:PQ2:PQ3=1/4:1/9:1/36
PQ1:PQ2:PQ3=9:4:1
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