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A particle starts with the velocity u an...

A particle starts with the velocity u and moves in a straight line, its acceleration being always equal to its displacement. If v be the velocity when its displacement is x, then show that `v^2= u^2+x^2`.

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UNITED BOOK HOUSE-QUESTION PAPER 2017-EXERCISE
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  2. Evaluate: int(cos x-cos 2x)/(1-cosx)dx.

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  3. A particle starts with the velocity u and moves in a straight line, i...

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  7. Find the vector equation of a plane through the point hati+ hat j+hat ...

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  8. If P(A)=2/3,P(B)=1/2 and P(AnnB)=1/6 then find the value of P(AnnB^C).

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  9. Solve: tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)(8/31).

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  10. If A=([2,-1],[1,3]) then show that A^2-5A+7I2=0 hence find A^(-1)

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  13. If f(x)= ((a+x)/(b+x))^(a+b+2x) then prove that f'(0)= [2log(a/b)+(b...

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  18. If a vector 2 i ^ +3 j ^ ​ +8 k ^ is perpendicular to the vecto...

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  19. Evaluate: overset(pi/4)underset(0)intlog(1+tan theta)d theta.

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  20. find the value of overset(2)underset(1)int 5x^2dx.

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