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MODERN PUBLICATION-SAMPLE PAPER 2017-EXERCISE
- Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...
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- If veca=3hati+hatj+2hatk,vecb=2hatj-3hatj+4hatk then verify that vecax...
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- Five boys and four girls randomly stand in a line. Find the probabilit...
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- If a random variable X has a binomial distribution B (8,1/2) then find...
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- A cricket team consisting of 11 players is to be chosen from 8 batsmen...
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- Find the inverse of the following matrix: [[0,0,2],[0,2,0],[2,0,0]]
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- If P(n-1,3):P(n+1,3)=5:12, find n.
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- Solve by Cramer’s rule 2x-y=2, 3x+y=13
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- If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.
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- A cylindrical open water tank with a circular base is to be made out o...
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- If y =x log (x/(a+bx))then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^...
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- Solve frac[dx][dy]=frac[3x-7y+7][3y-7x-3]
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- Evaluate intfrac[dx][cosx(1+2sinx)]
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- Show that the line joining the points (0,2,-4) and (-1,1-2) and the l...
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- Prove the following by vector method. An angle inscribed in a semi-cir...
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- Show that hatitimes (vecatimeshati)+hatjtimes(vecatimeshatj)+hatktime...
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- The probability that a student will pass the final examination in both...
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- If P(A) = 0.4, P(B//A) = 0.3 and P(B^(c)/A^(c)) = 0.2. Find P(B).
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- Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...
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- Show that C1^2 + 2C2^2 + 3C3^2 + ... + "^nCn^2 = ((2n-1!))/{(n-1)!}^2
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