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Let m(1)" and " m(2) be slopes of tenge...

Let `m_(1)" and " m_(2)` be slopes of tengents from a point `(1, 4)` on the hyperbola `x^(2)/(25) - y^(2)/ (16) = 1`. Find the point from which the tengents drawn on the hyperbola have slopes `|m_(1)|" and "|m_(2)|` and positive intercepts on y-axis.

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The correct Answer is:
`(-7, -4)`
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