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If the length of the latus rectum rectum of the parabola `169{(x-1)^(2)+(y-3)^(2)}=(5x-12y+17)^(2)` is L then the value of 13L/4 is _________. |
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Answer» Correct Answer - 7 (7) Here, `(x-1)^(2)+(y-3)^(2)={(5x-12+17)/(sqrt(5^(2))+(-12)^(2))}^(2)` Therefore, the is (1,3) and directrix is 5x-12y+17=0. The distance of the focus from the directrix is `|(5xx1-12xx3+17)/(sqrt(5^(2)+(-12)^(2)))|=(14)/(13)` `:." Length of latus rectum"=2xx(14)/(13)=(28)/(13)` |
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