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The ordinate of y=(a/2)(e^(x/a)+e^(-x/a)...

The ordinate of `y=(a/2)(e^(x/a)+e^(-x/a))`is the geometric mean of the length of the normal and the quantity ...

A

a/2

B

a

C

e

D

None of these

Text Solution

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The correct Answer is:
B
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MOTION-TANGENT & NORMAL-EXERCISE 1
  1. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

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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. if the tangent ta the curve x=a(1+sintheta) , y=a(1+costheta) at theta...

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  4. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

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  5. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

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  6. The ordinate of y=(a/2)(e^(x/a)+e^(-x/a))is the geometric mean of the ...

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  7. For a curve (length of normal)^2/(length of tangent)^2 is equal to

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  8. If at any point on a curve the surtangent and subnormal are equal, the...

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  9. The curves x^3+p xy^2=-2 and 2x^2y-y^3=2 are othogonal for

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  10. If curves (x^2)/(a^2)-(y^2)/(b^2)=1 and xy=c^2 intersect othrogonally ...

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  11. Equation of the normal to the curve y=-sqrtx+ 2 at the point of its in...

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  12. The curve C1:y=1-cosx,x in(0,pi) and C2:y=(sqrt3)/(2)|x|+a will touch ...

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  13. Use differential to approximate sqrt(36.6)

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  14. Find the approximate change in the surface area of a cube of side x...

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  15. If f(x)=3x^2+15 x+5,then the approximate value of f (3. 02)is(A) 47.6...

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  16. Water is being poured on to a cylindrical vessel at the rate of 1 m^3/...

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  17. Water is poured into an inverted conical vessel of which the radius of...

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  18. The area of the triangle formed by the positive x-axis and the normal ...

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  19. Sketch the graph of y=(x^3)/(3)-(3x^2)/(2)+2x+6

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  20. Sketch graph of y=("Inx")/x

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