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Binomial Theorem

Question
CBSEENMA11015124

Find the equation of the parabola that satisfying the following condition:
Vertex (0,0) passing through (2,3) and axis is along x-axis.

Solution

The vertex of the parabola is O (0, 0) and the axis is along x-axis (y = 0).
rightwards double arrow      The equation of the parabola is straight y squared equals 4 ax                                                               ...(i)
Since it passes through the point (2, 3)
∴     3 squared space equals space 4 straight a left parenthesis 2 right parenthesis space rightwards double arrow space 9 space equals space 8 straight a space space space space rightwards double arrow space space straight a equals 9 over 8
Hence, from (i), the equation of the parabola is : WiredFaculty

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