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Find the angle between the curve 2y=e^(-...

Find the angle between the curve `2y=e^(-x//2)` and y-axis.

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The correct Answer is:
`:. phi=tan^(-1)(4)`
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AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Find the angle between the curve 2y=e^(-x//2) and y-axis.

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  2. Find the equations of tangent and normal to the curve ((x)/(a))^(4)+...

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  3. Find the equations of tangent and normal to the curve ((x)/(a))^((2...

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  4. Find the equations of tangent and normal to the curve y=(8)/(4+x^(2)...

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  5. Find the equations of tangent and normal to the curve y=(6x)/(x^(2)-...

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  6. Find the equations of tangent and normal to the curve 2x^(2)-xy+3y^(...

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  7. Find the equations of tangent and normal to the curve (x^(2))/(a^(2)...

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  8. Find the equations of tangent and normal to the curve (x^(2))/(a^(2)...

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  9. Find the equations of tangent and normal to the curve x=a( theta- si...

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  10. Find the equation of the tangent to the curve. 4x^(2)+9y^(2)=40 and ...

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  11. Find the equation of the tangent to the curve. 9x^(2)+16y^(2)=52 and...

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  12. Find the equation of the tangent to the curve. y=x^(3)+3x^(2)-5 and ...

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  13. Find the points on the curve at which the tangents to the curve. y=x...

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  14. Points at which the tangents to the hyperbola y=(x-1)/(x+1) are parlle...

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  15. The point on the curve x^4-4x^3+4x^2+1 at which the tangent is paralle...

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  16. The points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpe...

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  17. The points of contact of the tangents drawn from origin to the curve 3...

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  18. Find the point of contact of the tangents drawn from origin to the cur...

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  19. Tangent at any point of the curve ((x)/(a))^(2//3)+((y)/(b))^(2//3)=1 ...

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  20. Show that the part of the tangent to the curve xy=a^(2) included betwe...

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  21. The area of the triangle formed by the tangent and the normal at the p...

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