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UNITED BOOK HOUSE-SET (11)-EXERCISE
- Show that the lines (x - 1)/3 = (y + 1)/2= (z - 1)/5 and (x + 2) / 4 =...
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- If A and B are two events such that P(A) = P(B) = 1, then show that, P...
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- Eight coins are thrown simultaneously. Show that the probability of ge...
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- If tan^(-1) [(yz)/(xr)] + tan^(-1) [(zx)/(yr)]+ tan^(-1) [(xy)/(zr)] =...
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- Provet that the producet of the matrics [[cos^2 alpha cos alpha sin al...
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- Solve :|(x + a, b, c),(a, x+b, c),(a, b, x + c)|=0
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- If f(x)= ((a+x)/(b+x))^(a+b+2x) then prove that f'(0)= [2log(a/b)+(b...
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- If y = e^u and u = f(x), show that,(d^2y)/(dx^2)= e^u [(d^2u)/(dx^2) +...
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- int dx/(x^n(1+x^n)^(1/n)) is
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- Solve: (x^2 + y^2).dx-2xydy = 0, given y = 0 when x = 1
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- SolveL (1+y)^2dx=(tan^(-1)y-x)dy, given that y= 0 when x= -1.
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- If the points having position vectors hati + b hat j + c hat k, 7 hati...
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- Let veca = 2 hati + 2 hat j + 3 hat k, vecb = -hati + 2 hat j + hat k,...
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- Evaluate: underset (0)overset(pi/4)int (sqrt tanx + sqrt cotx)dx
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- A bag contains 5 white, 7 red and 3 black balls. If three balls are dr...
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- A bag contains 5 white and 7 black balls. Find the expectation of a ma...
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- Using calculus find the length of perpendicular from the point (2,-1) ...
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- Shade the area bounded by y^2 = 8x and y = x above positive direction ...
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- Find the equation of the line which passes through the point with posi...
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- Find the equation of the plane passing through line of intersection of...
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