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Q. The two ends of latus rectum of a parabola are the points $(3, 6)$ and $(- 5, 6)$. The focus is

Conic Sections

Solution:

Focus is the mid point of the latus rectum. So, its coordinates are $ \left(\frac{3-5}{2}, \frac{6+6}{2}\right)$ or $\left(-1, 6\right)\cdot$