Long Answer TypeFind the area of greatest rectangle which can be inscribed in a circle of radius 10 cm.
Short Answer TypeLong Answer TypeShort Answer TypeFind the point on the curve x2 = 8y which is nearest to the point (2, 4).
Let 
 be the point on x2 = 8y which is nearest to the point (2, 4).
Now d is maximum or minimum when D is maximum or minimum. Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 
    
     Â
Long Answer TypeA jet of an enemy is flying along the curve y =Â x2Â + 2. A soldier is placed at the point (3, 2). What is the nearest distance between the soldier and the jet?
Short Answer TypeFind the maximum profit that a company can make, if the profit function is given by p (x) = 41 + 24x – 18x2.
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 which are nearest from the origin. 
 which are nearest to the point (0, 5).
