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ARIHANT PRAKASHAN-VERY SIMILAR TEST 1 -Section B
- Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) ...
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- If A=N xx N and * is a binary operation on A defined by (a, b) ** (c,...
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- Solve for x, tan^(-1)(x-1)+tan^(-1)x +tan^(-1)(x+1) =tan^(-1)3x.
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- In bag A, there are 5 white and 8 red balls, in bag B, 7 white and 6 ...
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- Prove the following : [[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]]-(5x+4)(4-x...
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- If A=[(2,0,1),(2,1,3),(1,-1,0)], then find A^(2)-5A+4I and hence find ...
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- If A= [{:(1,-1),(2,-1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)...
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- A box contains 4 orange and 4 green balls, another box contains 3 oran...
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- If y=sin^(-1)(2x sqrt(1-x^(2))), then find (dy)/(dx) and determine its...
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- If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...
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- Find a point on the curve y=(x-2)^(2) at which the tangent is parall...
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- Find the intervals in which the following functions is increasing or d...
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- Examine the applicability of mean value theorem for the function f(...
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- Evaluate the integral int(0)^(2pi)(1)/(1+e^(sinx))dx.
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- Evaluate int log (1+x^2)dx
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- Find the area of the region enclosed by the curve y=x e^(x^(2), the ...
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- Solve (dy)/(dx)+2y =6e^(x).
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- Find the differential equation of the family of curves given by x^(2...
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- Prove by vector method that the diagonals of a parallelogram bisect ea...
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- The scalar product of the vector veca=hati +hatj +hatk with a unit ve...
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