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If the length of the focal chord of the parabola y2 = 4ax whose distance from the vertex is p is  then total number of divisors of m + n + l is :

Question

If the length of the focal chord of the parabola y2=4ax y^2 = 4ax whose distance from the vertex is p p is ( \text{then total number of divisors of } m + n + l \text{ is } : \

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Solution

To find the total number of divisors of m + n + l, we need to first understand the given information about the parabola.

The equation of the parabola is y^2 = 4ax, where a is a constant. This is a standard form of a parabola with the vertex at the origin (0,0).

The focal chord of the parabola is a line segment that passes through the focus of the parabola and is perpendicular to the axis of symmetry. The focus of the parabola is located at the point (a/4, 0).

The length of the focal chord is given by the formula 4a/p, where p is the distance from the vertex to the focal chord.

Now, let's substitute the given values into the formula. The length of the focal chord is 4a/p.

To find the total number of divisors of m + n + l, we need to know the values of m, n, and l. Unfortunately, the given information does not provide any information about these variables. Therefore, we cannot determine the total number of divisors of m + n + l based on the given information about the parabola.

In order to solve the problem, we would need additional information about the variables m, n, and l.

This problem has been solved

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