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ARIHANT PRAKASHAN-VERY SIMILAR TEST 10-SECTION B (60 MARKS)
- Prove that the function f(x) = tan x -4x is strictly decreasing on (- ...
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- If y= cos^(-1) { 2x sqrt(1-x^(2) ) } , find (dy)/(dx).
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- If y = ( sin y )^(x), find (dy)/(dx).
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- Verify Rolle.s theorem for f(x) = (sin x)/( e^(x)) on 0 le x le pi.
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- Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d...
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- Solve (x+1) (dy)/(dx) = 2xy.
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- Evaluate int e^(x) ((1- sin x)/( 1- cos x) ) dx
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- Find the area of the region bounded by the curve y=x^(3) and the lines...
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- Show that the points whose position vectors are 5hat(i) + 5 hat(k), 2 ...
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- Find the vector equation of the plane passing through the points 3 hat...
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- Prove that if a plane has the intercepts a, b, c and is at a distance ...
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- Find the equation in vector and Cartesian from of the plane passing th...
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- Prove that sin( cos^(-1) ""(3)/(5) + sin^(-1)""(5)/(13) ) = (63)/(65)
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- Answer any three questions (b) A house wife wishes to mix together t...
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- Answer any three questions (c) Show that f: [-1,1] to R, given by f(...
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- Check if the relation R on set of real numbers, defined as R = {(a,b) ...
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- Answer any three questions (e) If a gt b gt c gt0, then prove that c...
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- A bag contains 6 black and 3 white balls. Another bag contains 5 black...
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- If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O
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- Answer any three questions (c) If [{:(2,-1),(1,0),(-3,4):}]A = [{:(-...
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