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MODERN PUBLICATION-TEST PAPER 4-PROBLEM
- Prove that the curves x = y^(2) and xy = k cut at right angles, if 8k^...
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- Evaluate the following integrals int(dx)/(sinx(3+2cosx) put cosx=z
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- int0^(pi//2)(sqrttanx+sqrtcotx)dx
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- Determine the area of the region bounded by y^2=x^3 and the double ord...
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- Vectors vec(a), vec(b) and vec(c) are such that vec(a) + vec(b) + vec(...
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- If l(1), m(1), n(1) and l(2), m(2), n(2) are the direction cosines of...
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- Find the equation of the plane Which contains the line of intersection...
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- Find the distance of the point (-1,-5,-10) from the point of intersect...
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- Let R be the relation on the set R of real numbers such that aRb iff a...
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- Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...
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- Find the minimum distance of a point on the curve 2/x^2+1/y^2= 1 from...
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- A variable plane meets the coordinate axes at A, B, C and is at a cons...
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- Find x and y if [[1,3],[2,-1]][[x],[y]] = [[4],[1]].
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- If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...
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- 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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