A) \[(1/2,0)\] and \[(-1/2,0)\]
B) \[(0,2)\] and \[(0,-2)\]
C) \[(0,3)\] and \[(0,-3)\]
D) No such point exists
Correct Answer: D
Solution :
[d] The given equation of curve is \[4{{x}^{2}}-9{{y}^{2}}=1\] \[\Rightarrow \frac{{{x}^{2}}}{1/4}-\frac{{{y}^{2}}}{1/9}=1\] This is an equation of a hyperbola which does not intersect with conjugate axes. Hence, no point of intersection exists.
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