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Show that the points (3,-2,4)(1,1,1) and...

Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

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  • SAMPLE PAPER 2012

    MODERN PUBLICATION|Exercise EXERCISE|37 Videos

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MODERN PUBLICATION-SAMPLE PAPER 2013-EXERCISE
  1. If vec a = (2,-2,1), vec b = (2,3,6) and vec c = (-1,0,2),Find the mag...

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  2. Prove the following by vector method. An angle inscribed in a semi-cir...

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  3. Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

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  4. Find the equation of a plane biscting the line segment joining (-1,4,3...

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  5. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

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  6. Find equation of the sphere if the line segment joining the Points (4,...

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  7. Maximise Z=50x(1)+60x(2) Subject to 2x(1)+3x(2)le6,x(1),x(2)ge0.

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  8. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

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  9. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

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  10. Find the product [{:(1,2,3),(2,3,4):}][{:(1,-2),(-2,3):}]

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  11. Prove that "^(2n)C0 + ^(2n)C2 + .... + ^(2n)C(2n) = 2^(2n-1)

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  12. C(3)^(2n):C(3)^(n)= 44:5, find the value of n.

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  13. In how many ways can 2 boys and 3 girls sit in a row so that no two gi...

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  14. If 8 person are to sit around a table what is the probability that X a...

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  15. A class consists of 25 boys and 15 girls. If a committee of 6 is to be...

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  16. If y = e^(ax) cos bx then find y(n)(0).

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  17. Use the function f(x) = x^(1//x), x gt 0 to show that e^(pi) gt pi^(e)...

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  18. Evaluate int0^1frac[ln(1+x)][1+x^2]dx

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  19. solve , dy/dx +y/X = xy^(2).

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  20. Obtain the volume of the parallelopiped whose sides are vectors vec a=...

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