Subject: Maths, asked on 13/6/13

## A large window has the shape of a rectangle surmounted by an equilateral triangle.if the perimeter of the window is 12m, find the dimensions of the rectangle that will produce the largest area of the window?

Subject: Maths, asked on 24/6/10

## The points on the curve 9y2 = x3, where the normal to the curve makes equal intercepts with the axes are (A) (B) (C) (D)

Subject: Maths, asked on 15/6/13

## A rectangle is inscribed in a semi circle of radius 'r' with one of its sides on the diameter of the semi circle. Find the dimensions of the rectangle so that its area is maximum. Also find this area.

Subject: Maths, asked on 30/12/11

## Prove that curve(x/a)n+(y/b)n=2 touches the straight line x/a+y/b=2 at (a,b) for all values of n belongs to N at the point (a,b)..

Subject: Maths, asked on 15/8/12

## A helicopter is flying along the curve y= x2+2.A soldier is placed at the point (3,2). Find the nearest distance between the soldier and the helicopter.(2010Sp)

Subject: Maths, asked on 19/12/12

## Prove that the radius of the base of right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half that of the cone

Subject: Maths, asked on 16/3/13

## An isosceles triangle of vertical angle 2a is inscribed in a circle of radius r.Show that the area of triangle is maximum when a=(pi)/6.

Subject: Maths, asked on 17/3/13

## A given quanitity of metal is to be cast into a half cylinder with a rectangular base and semi circular ends. Finfd ratio of length of the cylinder to the diameter of its semi-circular ends.

Subject: Maths, asked on 2/7/10

## Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is.

Subject: Maths, asked on 27/9/14

## show that the line x/p+ y/q =1, touches the curve y=e^(-x/p) at the point where it crosses the y axis

Subject: Maths, asked on 29/1/14

## the cost of fuel for running a train is proportional to square of speed generated in km/h.it cost rs 48/h when the train is moving at speed of 16km/h.what is its economical speed if the fixed charges are rs 300/hour over and above the running cost!

Subject: Maths, asked on 2/9/12

## A point on the hypotenuse of a right angled triangle is at distances 'a' and 'b' from the sides .Show that the length of the hypotenuse is at least{a raised to 2/3 + b raised to 2/3}the whole raised to 3/2

Subject: Maths, asked on 28/6/10

## A window is in the form of rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 m. Find the dimensions of the window to admit maximum light through the whole opening.

Subject: Maths, asked on 24/10/12

## Find the volume of the largest right circular cylinder that can inscribed in a sphere of radius r cm.

Subject: Maths, asked on 2/9/12

## Prove that the area of a right angled triangle of given hypotenuse is maximum when thetriangle is isosceles

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