A) \[3{{x}^{2}}+4{{y}^{2}}-42x+120=0\]
B) \[3{{x}^{2}}+4{{y}^{2}}+42x+120=0\]
C) \[3{{x}^{2}}+4{{y}^{2}}+42x-120=0\]
D) \[3{{x}^{2}}+4{{y}^{2}}-42x-120=0\]
Correct Answer: A
Solution :
Major axis \[=6=2a\] Þ \[a=3\] \[e=\frac{1}{2}\] Þ \[b=3\sqrt{1-\frac{1}{4}}=\frac{3\sqrt{3}}{2}\]. Also centre is (7, 0) Equation is \[\frac{{{(x-7)}^{2}}}{9}+\frac{{{y}^{2}}}{(27/4)}=1\] Þ \[3{{x}^{2}}+4{{y}^{2}}-42x+120=0\].
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