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Prove that the measure of the angle betw...

Prove that the measure of the angle between two main diagonals of a cube is `cos^(-1)frac[1][3]`.

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SHARAM PUBLICATION-QUESTION PAPER 2015-EXERCISE
  1. Find the particular solution ofthe differential equation (d^2y)/(dx^2)...

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  2. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  3. Prove that the measure of the angle between two main diagonals of a cu...

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  4. Prove by vector method that the lines joining the mid points of consec...

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  5. Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2

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  6. Solve the following LPP graphically : Minimize Z = 6x(1)+7x(2) Sub...

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  7. Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0

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  8. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

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  9. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  10. If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...

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  11. How many four digits even numbers with distict digits can be formed ou...

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  12. Solve the following equations by cramer's rule : 7x+y+1 = 0, x+13y+5 =...

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  13. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

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  14. Two different digits are selected at random from the digits 1 through ...

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  15. Suppose that the probability that your alarm goes off in the morning i...

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  16. In how many ways can 10 boys and 10 girls sit in a row so that no two ...

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  17. Find the fifth term in the expansion of (6x-a^3/x)^10

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  18. Evaluate: int(dx)/(cosx(1+2sinx))

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  19. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  20. Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...

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