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ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section B (60 MARKS)
- Prove that int(-1)^(1)log((2-x)/(2+x))dx=0
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- Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.
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- By computing shortest distance, determine whether the following pair o...
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- Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...
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- If vec(a), vec(b) and vec(c) are three mutually perpendicular vectors...
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- If vec(a),vec(b)" and "vec(c) are three vectors, such that vec(a)+vec(...
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- If hat(a), hat(b), hat(c) are unit vectors and hat(a) xx (hat(b) xx ha...
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- Evaluate "tan"("sin"^(-1)3/(5)+"cot"^(-1)3/(2)).
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- One kind of cake requires 200 g of flour and 25 g of fat and another k...
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- Let * be a binary operation on Q defined by a**b=ab+1. Determine wheth...
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- Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined b...
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- Prove that following cot^(-1)((xy+1)/(x-y)) +cot^(-1)((yz+1)/(y-z))+...
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- There are 25 tickets bearing numbers from 1 to 25. One ticket is drawn...
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- IF A=[(1,tanx),(-tanx,1):}] then show that A^TA^-1=[(cos2x,-sin2x),(s...
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- Show that the following systems of linear equations is consistent and ...
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- If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...
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- Find the probability distribution of number of doublets in four throws...
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- Find the equasion of the tangents drawn from the point (1,2) to the cu...
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- Find the intervals in which the function y="sin"x,x in[0, 2pi] is in...
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- If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0
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