Let from the point with abscissa 25, two tangents be drawn to the ellipse 24x2+25y2=600 with foci at S1 and S2. The points of contact of tangents are A and B. Let the distance of A from S1 be 6013 units and p be the sum of distance of A from the directrix corresponding to S2 and the distance of B from S2. Then the value of 13p is

Let from the point with abscissa 25, two tangents be drawn to the elli

1.	Let from the point with abscissa 25, two tangents be drawn to the ellipse 24x2+25y2=600 with foci at S1 and S2. The points of contact of tangents are A and B. Let the distance of A from S1 be 6013 units and p be the sum of distance of A from the directrix corresponding to S2 and the distance of B from S2. Then the value of 13p is
Answer» Let from the point with abscissa $25$ , two tangents be drawn to the ellipse $24 x^{2} + 25 y^{2} = 600$ with foci at $S_{1}$ and $S_{2}$ . The points of contact of tangents are $A$ and $B$ . Let the distance of $A$ from $S_{1}$ be $\frac{60}{13}$ units and $p$ be the sum of distance of $A$ from the directrix corresponding to $S_{2}$ and the distance of $B$ from $S_{2} .$ Then the value of $13 p$ is