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Question
Find the equation of the parabola in the cases given below:
Passes through (2, – 3) and symmetric about y-axis
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Solution

x2 = 4ay
It passes through (2, – 3)
⇒ 22 = 4a(– 3)
4 = – 12a
⇒ a = `- 1/3`
⇒ 4a = `- 4/3`
∴ Equation of parabola is x2 = `- 4/3`y
3x2= – 4y
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