Find two positive numbers whose product is 100 and whose sum in minimum.

FULL MARKS-SAMPLE PAPER - 18 (UNSOLVED)-PART - III (III. Answer any seven questions. Questions No. 40 is compulsory.)

1. Find adj (adj(A)) if adj A = [{:(1,0,1),(0,2,0),(-1,0,1):}].

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2. Show that |(z-2)/(z-3)|=2 represents a circle. Find its centre and rad...

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3. Solve 2tan^(-1)(cosx)=tan^(-1)(2cosecx)

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4. Find the equations of tangent and normal to the parabola x^(2)+6x+4y+5...

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5. If the straight line joining the points (2,1,4)and(a-1,4,-1) is parall...

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6. Find two positive numbers whose product is 100 and whose sum in minimu...

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7. If w=x+2y+z^(2) and x=cost,y =sint,z =t. Find (dw)/(dt).

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8. Solve : (x+1)(dy)/(dx)-y=e^(x)(x+1)^(2)

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