A) \[9{{y}^{2}}=4x\]
B) \[9{{y}^{2}}=-4x\]
C) \[4{{y}^{2}}=-9x\]
D) \[4{{y}^{2}}=9x\]
Correct Answer: D
Solution :
Given, vertex is origin and axis is\[x-\]axis. \[\therefore \]Equation of parabola is \[{{(y-0)}^{2}}=4a(x-0)\] \[\Rightarrow \] \[{{y}^{2}}=ax\] Since, it passes through the point (4,3) \[\therefore \] \[{{(3)}^{2}}=4a.4\] \[\Rightarrow \] \[a=\frac{9}{16}\] Thus, required equation is \[{{y}^{2}}=4.\frac{9}{16}x\] \[\Rightarrow \] \[4{{y}^{2}}=9x\]
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