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Q27 of 45 Page 1

Find the equation of the plane which contains the line of intersection of the planesand which is perpendicular to the plane

Equation of the plane passing through the line of intersection of the plane given is,




The plane in above mentioned equation, is perpendicular to the plane,






Substituting,



The Cartesian equation of the plane can be obtained by,




4x + 5y + 5k - 3 = 0


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Using integration find the area of the triangular region whose sides have equations y = 2x +1, y = 3x +1 and x = 4.

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Evaluate:

OR


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A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machinetime and 3 hours of craftman’s time in its making while a cricket bat takes 3 hours of machinetime and 1 hour of craftman’s time. In a day, the factory has the availability of not more than42 hours of machine time and 24 hours of craftsman’s time. If the profit on a racket and on abat is ` 20 and ` 10 respectively, find the number of tennis rackets and crickets bats that thefactory must manufacture to earn the maximum profit. Make it as an L.P.P. and solve graphically.

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Suppose 5% of men and 0.25% of women have grey hair. A grey haired person is selected atrandom. What is the probability of this person being male? Assume that there are equalnumber of males and females.

Questions · 45
Delhi-2011
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