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the equations of the tangents to `9x^2+16y^2=144 ,` which make equal intercepts on the coordinate axes.A. x + y = 5B. x + y = 16C. x + y = 15D. None of these |
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Answer» Correct Answer - A Given curve is `9x^(2) + 16y^(2) = 144` `implies (x^(2))/(16) + (y^(2))/(9) = 1 ` Let the equation of tangent is x + y = k `implies y = -x + k` It is a tangent to the given curve if `c^(2) = a^(2) m^(2) + b^(2)` `implies k^(2) = 16(-1)^(2) + 9` `implies k^(2) = 25` `implies k = pm 5` `therefore` Required equation of tangent are `x + y = pm5` |
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