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If abs(veca)=3,abs(vecb)=2 and veca*vecb...

If `abs(veca)=3,abs(vecb)=2` and `veca*vecb=0`, then write the value of `abs(vecaxxvecb)`.

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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2016-PREVIOUS YEAR QUESTION
  1. If p and q are the order and degree of the differential equation y(dy/...

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  2. If abs(veca)=3,abs(vecb)=2 and veca*vecb=0, then write the value of ab...

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  3. Write the distance between parallel planes 2x-y+3z=4 and 2x-y+3z=18.

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  4. Write the equation of the sphere concentric with the sphere x^2+y^2+z^...

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  5. If A is a 4xx5 matrix and B is a matrix such that A^TB and BA^T both a...

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  6. If ""^nCr=^nPr,r!=1, then write the value of r.

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  7. A binomial distribution has mean 4 and variance 3. Write the number of...

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  8. Find dy/dx, if x^my^n=(x/y)^(m+n)

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  9. If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...

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  10. If u= x^3-3xy^2, show that (del^2u)/(delx^2)+(del^2u)/(dely^2)=0

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  11. Find the following limits:lim(xrarr0+)(ln tanx)/(ln sin 2x)

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  12. The radius of a spherical soap bubble is increasing at the rate of 0.2...

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  13. If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

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  14. Evaluate : int(logx)^2dx

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  15. Evaluate: int(2x+9)/(x+3)^2dx

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  16. int0^1(x^5(4-x^2))/sqrt(1-x^2)dx

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  17. Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx

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  18. Obtain the general solution of the following differential equations. y...

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  19. Solve: (x^2-1)dy/dx+2xy=1

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  20. Prove that : |veca + vecb|le|veca|+|vecb|.

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