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The distance between the origin and the normal to the curve `y=e^(2x)+x^(2)` at `x=0` isA. `2/(sqrt(3))`B. `2/(sqrt(5))`C. `2/(sqrt(7))`D. `1/(sqrt(5))` |
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Answer» Correct Answer - B `(dy)/(dx)=2e^(2x)+2ximplies((dy)/(dx))_(x=0)=2e^(@)+0=2` Slope of normal `=-1/2` at `x=0,y=1` Equation of normal `y-1=1/2(x-0)` `impliesx+2y-2=0` its distance from `(0,0)=2/(sqrt(5))` |
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