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

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

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USHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY APPLICATION OF DERIVATIVES -EXERCISE
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  3. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

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  5. Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...

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  6. Find the points on the curve x^2+y^2-2x-4y+1=0,where the tangent is pa...

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  7. Find the equations of the tangent and the normal to the curve y = (x-7...

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  8. Find the angle of intersection of two curves y =2^x and y=5^x

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  9. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

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  10. Show that f(x)=(logx)/xhas minimum value at x=e

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  15. what is the direction of cosine of the line passing through (4,2,3) an...

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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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  17. Find the equation of the tangent and normal to the curve y(x-2)(x-3)-x...

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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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