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Two men A and B start with velocities v ...

Two men A and B start with velocities v at the same time from the junction of two roads inclined at `45^(@)` to each other. If they travel by different roads, find the rate at which they are being seperated.

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The correct Answer is:
`(sqrt(2-sqrt(2)))V`.
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
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  2. A kite is moving horizontally at a height of 151.5 meters. If the spee...

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  3. Two men A and B start with velocities v at the same time from the junc...

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  5. Find the approximate value of (1.999)^(5).

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  6. Find the approximate volume of metal in a hollow spherical shell whose...

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  8. A swimming pool is to be drained for cleaning. If L represents the num...

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  10. x and y are the sides of two squares such that y=x-x^(2). Find the rat...

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  11. Find the condition that the curves 2x=y^(2) and 2xy = k intersect orth...

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  12. Show that the curves xy=a^(2) and x^(2)+y^(2)=2a^(2) touch each other.

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  13. Find the co-ordinates of the point on the curve sqrt(x)+sqrt(y)=4 at w...

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  14. Find the angle of intersection of the curves y = 4-x^(2) and y=x^(2).

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  15. Prove that the curves y^(2)=4x and x^(2)+y^(2)-6x+1=0 touch each other...

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  18. Show that a point at which the line (x)/(a)+(y)/(b)=1 touches to the c...

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  19. Show that f(x)=2x+cot^(-1)x+log(sqrt(1+x^(2))-x) is increasing in R.

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  20. Show that for a ge 1, f(x)=sqrt(3)sin x - cos x - 2ax + b is decreasin...

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