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MODERN PUBLICATION-TEST PAPER 4-PROBLEM
- Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determ...
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- Express the value of "cosec"("cos"^(-1) 3/5 +"cos"^(-1) 4/5) in simple...
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- Let x Epsilon (2 π/4, π), y=| cos x | +| sin x | what is dy/dx ?
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- Write the least value of a for which the function f defined by f(x)=x^...
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- Evaluate:int x^2 dx/x*3 +1.
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- Find the differential equation n whcse solution is : y = ax^2 + bx + c...
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- What is the projection of the line segment joining (1,3,-1) and (3,2,4...
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- If vec a=(2,-2,1), vec b =(2,3,6) and vec c =(-1,0,2) then what is the...
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- An animal feed company must produce 200kg of a mixture consisting of i...
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- Check if the relation R on set of real numbers, defined as R = {(a,b) ...
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- Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...
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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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- If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0
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- Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])
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- Find the dy/dx when x = a[cos t + log tan (t//2)], y = a sin t
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- Prove that: y = (4 sin theta)/(2 +cos theta)- theta is an increasing f...
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- inttan^-1(secx+tanx)dx
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- If the magnitude of the difference of two unit vectors is sqrt3 then f...
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- Find the equation of the plane if the point (5,-3,4) is the foot of th...
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- Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5...
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