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Show that the line y = mx + c touches th...

Show that the line y = mx + c touches the parabola `y^(2)` = 4ax if c `= (a)/(m)`.

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USHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY APPLICATION OF DERIVATIVES -EXERCISE
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  10. Show that f(x)=(logx)/xhas minimum value at x=e

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  12. Find the extreme values of the function f(x)=x^2e^(-x^2) and show that...

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  13. A curve passes through the point (2, 0) and slope of tthe tangent at a...

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  16. Show that the line y=mx+c touches the curve x^2/a^2-y^2/b^2 = 1 if c^2...

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  18. Find (dy)/(dx) if y=(1)/(sqrt(a^(2)-x^(2)))

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  19. Find (dy)/(dx) if y=((5x-1)^(2/3)(2x-5)^(3/5))/((x-1)^(1/3)(3x-2)^3)

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  20. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx)=sqrt...

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