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UNITED BOOK HOUSE-SET 7-EXERCISE
- Can the numbers 1/2,-1/sqrt2, -1/2 be the direction cosines of a strai...
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- Find the equation of the line passing through the point(1,2,3) and par...
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- Two unbiased dice are thrown. Find the probability that the sum of the...
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- M and E are two equally strong football teams. Findthe probability tha...
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- Solve: tan^(-1)sqrt(x(x+1)+sin^(-1)sqrt(1+x+x^2) = pi/2
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- If A = [[1,-1],[2,-1]],B = [[a,1],[b,-1]] and (A+B)^2 = A^2+B^2 find a...
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- Evaluate: |[alpha, beta,gamma],[alpha^2,beta^2,gamma^2],[beta+gamma,ga...
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- Show that |[-1,b,c],[a,-1,c],[a,b,-1]|=(a+1)(b+1)(c+1)(a/(a+1)+b/(b+1...
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- If y = tan^(-1) ((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) ...
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- Evaluate: int (cos x-sinx )/sqrt(sin 2x)dx
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- Evaluate: int x sqrt((a^2-x^2)/(a^2+x^2))dx
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- Solve: cos^(-1)((dy)/(dx)) = x+y.
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- solve : sqrt(a^2+x^2)(dy)/(dx)+y= sqrt(a^2+x^2)-x
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- Find a unit vector in direction parallel to the sum of the vectors vec...
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- answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec...
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- Evaluate: overset(1)underset(0)int (tan^(-1)x)/(1+x^2)dx.
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- Evaluate : underset(nrarrinfty)lim [1/n + 1/(n+1)+ 1/(n+2) + .... +1...
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- Three groups of children contain respectively 3 girls and 1 boy, 2 gir...
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- 5% of the electric valves are defective. 10 valves are drawn at random...
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- Find the area of the region bounded by the parabola y = x^(2) and y = ...
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