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The line (x)/(a)+(y)/(b)=1 touches the c...

The line `(x)/(a)+(y)/(b)=1` touches the curve `y=be^(-x//a)` at the point

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CBSE COMPLEMENTARY MATERIAL-APPLICATION OF DERIVATIVES-4 MARK QUESTIONS
  1. Find a point on the parabola y=(x-3)^2 , where the tangent is pa...

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  2. Find the equation of the normal to the curve y=e^(2x)+x^(2)" at "x=0. ...

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  3. The line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-x//a) at the point

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  4. At what point on the circle x^(2)+y^(2)-2x-4y+1=0 the tangent is paral...

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  5. Show that the equation of the normal at any point 'theta' on the curve...

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  6. Show that the curves x y=a^2a n dx^2+y^2=2a^2 touch each other

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  7. For the curve y=5x-2x^3 , if x increases at the rate of 2 units/sec, t...

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  8. Find the condition for the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and...

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  9. Show that the curves y=a^(x) and y=b^(x), a gt b gt 0 intersect at an ...

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  10. Find the equation of the normal to the curve ay^(2)=x^(3) at the point...

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  11. Find the equation of the normal at a point on the curve x^(2)=4y, whic...

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  12. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

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  13. Show that the tangents to the curve y=2x^3-3 at the points where x=...

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  14. Using differentials, find the approximate value of (66)^(1//3)

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  15. sqrt(401)

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  16. Using differentials, find the approximate value of sqrt(0.037).

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  17. sqrt(25.3)

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  18. Using differentials, find the approximate value of (3. 968)^(3/2)

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  19. (26.57)^(1//3)

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  20. Find the value of log(10)(10.1) given that log(10) e=0.4343.

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