Binomial Theorem

Question
CBSEENMA11015127

Find the equation of the parabola that satisfying the following condition:
Vertex at (0, 0) focus on the negative side of y-axis and latus rectum equal to it.

Solution

The vertex is at (0, 0) and the focus is on negative y-axis is S(0, -a), a>0
∴ The equation of the parabola is space space space space straight x squared equals negative 4 ay comma space straight a greater than 0                    ...(i)
                     Latus rectum = 4a = 11
Hence, from (i), the equation of parabola is: straight x squared space equals negative 11 straight y

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