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If the curves y=2e^(x)andy=ae^(-x) inter...

If the curves `y=2e^(x)andy=ae^(-x)` intersect orthogonally, then a = __________

A

`1/2`

B

`-1/2`

C

2

D

`2e^(2)`

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SURA PUBLICATION-APPLICATIONS OF DIFFERENTIAL CALCULUS-ADDITIONAL QUESTIONS
  1. In LMV theorem, we have f'(x(1))=(f(b)-f(a))/(b-a)" then "altx(1)

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  2. If the slope of the curve 2y^(2)=ax^(2)+b at (1, -1) is -1, then the v...

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  3. If the curves y=2e^(x)andy=ae^(-x) intersect orthogonally, then a =

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  4. The function -3x + 12 is function on R.

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  5. The function f(x)=x^(9)+3x^(7)+64 is increasing on

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  6. If x + y = 8, then the maximum value of xy is

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  7. The curve y=e^(x) is

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  8. lim(xto0)x/(tanx) is

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  9. The statement ''If f has a local extremum at c and if f'( c) exists th...

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  10. Identify the incorrect statement.

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  11. Identify the false statement

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  12. A particle moves in a line so that so that x=sqrtt. Show that the acce...

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  13. A man 2 m high walks at a uniform speed of 5km/hr away from a lamp pos...

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  14. At what point on the curve y=x^(2) on [-2, 2] is the tangent parallel ...

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  15. Find the maximum and minimum values of f(x)=|x+3|AAx inRR.

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  16. Find the intervals of increasing and decreasing function for f(x)=x^(3...

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  17. Prove that x/(1+x)ltlog(1+x)" for "xgt0.

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  18. Find the equation of normal to the cure y=sin^(2)x" at "(pi/3,3/4).

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  19. Verify LMV theorem for f(x)=x^(3)-2x^(2)-x+3 in [0, 1].

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  20. The ends of a rod AB which is 5 m long moves along two grooves OX, OY ...

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