# How to find latus rectum of parabola

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## How to Find Length of Latus Rectum of Parabola

Examples on Latus Rectum Example 1: Find the length of latus rectum, and the ends of the latus rectum of the parabola y 2 = 16x. Solution: The Example 2: Find the length of latus rectum of

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Find the length of the latus rectum whose parabola equation is given as, y 2 = 12x. Solution: y 2 = 12x. ⇒ y 2 = 4(3)x. Since y 2 = 4ax is the equation of parabola
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## Latus Rectum Of Parabola

HOW TO FIND THE LENGTH OF LATUS RECTUM OF A PARABOLA Consider the graph of a parabola shown below. The parabola opens to the right with vertex (0, 0). The equation of the parabola shown above in standard form : y 2 = 4ax ## 8.4: The Parabola

Solution : (i) The given parabola is of the form y 2 = 4ax, where 4a = 8 i.e. a = 2. Hence, Length of latus rectum = 4a = 8. (ii) The given parabola is of the form x 2 = -4ay, where 4a = 16 i.e. a = 4.

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