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The tangent at any point on the curve `x = at^3. y = at^4` divides the abscissa of the point of contact in the ratio m:n, then `|n + m|` is equal to (m and n are co-prime)A. `1//4`B. `3//4`C. `3//2`D. `2//5` |
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Answer» Correct Answer - B `(dy)/(dx)=(4t)/(3)` Tangent is `y-at^(4)=(4t)/(3)(x-at^(3))` x-intercept`=(at^(3))/(4)` y-intercept `=(at^(4))/(3)` the point of intersection of tangent with the axes are `((at^(3))/(4),0) and (0,-(at^(4))/(3))` `therefore" "(m)/(n)=-(3)/(4)` |
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