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Show that the line x/a+y/b=1 touches the...

Show that the line `x/a+y/b=1` touches the curve `y=b e^(-x/a)` at the point where it crosses the y-axis.

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Find the equation of the tangent line to the curve x=1-costheta,\ y...

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  2. Find the equations of the tangent and the normal at the point ' t ' ...

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  3. Show that the line x/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...

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  4. Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3) at ...

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  5. Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the...

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  6. Find the equation of the tangent line to the curve y=sqrt(5x-3)-2 w...

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  7. Find the equation of tangent line to y=2x^2+7 which is parallel to ...

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  8. Find the equation(s) of normal(s) to the curve 3x^2-y^2=8 which is (ar...

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  9. Find the equation of normal line to the curve y=x^3+2x+6 which is para...

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  10. Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.

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  11. Find the equation of the normal to the curve x^2=4ywhich passes throu...

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  12. Find the coordinates of the points on the curve y=x^2+3x+4 , the ta...

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  13. For the curve y=4x^3-2x^5 find all points at which the tangent pass...

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  14. Find the equation of all lines having slope - 1that are tangents to th...

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  15. Prove that all normals to the curve x=acost+a tsint ,\ \ y=asint-a ...

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  16. Find the equation of the normal to the curve y=(1+y)^y+sin^(-1)(sin^2x...

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  17. Find all the tangents to the curve y=cos(x+y),-2pilt=xlt=2pi that are ...

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  18. The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,\ 0) and cuts...

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  19. Determine the quadratic curve y=f(x) if it touches the line y=x at ...

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  20. Find the equation of the tangent to the curve sqrt(x)+sqrt(y)=a , at t...

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