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

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

A

`(a, b//a)`

B

`(-a, b//a)`

C

`(a,a//b)`

D

none of these

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-TANGENTS AND NORMALS-Exercise
  1. A normal is drawn to parabola y^2=4ax at any point other than the vert...

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  2. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

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

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  4. Find the euation of normal to the curve x=a( cos theta + theta sin th...

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  5. The point P of the curve y^(2)=2x^(3) such that the tangent at P is p...

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  6. Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...

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  7. The equation of the tangents at the origin to the curve y^2=x^2(1+x) a...

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  8. The coordinates of the points on the curve x=a(theta + sintheta), y=a(...

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  9. The chord joining the points where x= p and x= q on the curve y= ax^2 ...

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  10. Find the locus of point on the curve y^2=4a(x+asin (x/a)) where tangen...

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  11. At what points on the curve y=x^2-4x+5 is the tangent perpendicu...

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  12. The points of contact of the tangents drawn from the origin to the cur...

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  13. If the area of the triangle included between the axes and any tangent ...

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  14. The tangents to the curve x=a(theta - sin theta), y=a(1+cos theta) at ...

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  15. The slope of the tangent to the curve y=sin^(-1) (sin x) " at " x=(3pi...

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  16. The slope of the tangent to the curve y=cos^(-1)(cos x) " at " x=-(...

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  17. The equation of the tangent to the curve y=e^(-|x|) at the point wher...

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  18. The number of points on the curve y=x^(3)-2x^(2)+x-2 where tangents ar...

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  19. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  20. The slope of the tangent to the curve y =sqrt(9-x^(2)) at the point wh...

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