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ISC XII Math
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Model Papers
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Find the volume of the largest cone that can be inscribed in a sphere of radius R.
This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com
isc
class12
modelpaper
2006
sec-a
q5
q5-b
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Apr 16, 2013
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sreemathi.v
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0
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Show that the semi-vertical angle of a cone of maximum volume and of given slant height is $\tan^{-1}(\sqrt 2).$
asked
Apr 16, 2013
by
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isc
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modelpaper
2007
sec-a
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A sphere $x^2+y^2+z^2-3ax-3by-3cz=0$ has a constant radius $3r$.It cuts the axes at the point A,B and C.Show that the centroid of the triangle ABC lies on the sphere $x^2+y^2+z^2=4r^2$
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Apr 22, 2013
by
sreemathi.v
isc
class12
modelpaper
2003
part-2
sec-a
q5
q5-b
0
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0
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A closed right circular cylinder has volume $\large\frac{539}{2}$cubic units.Find the radius and the height of the cylinder so that the total surface area is minimum.
asked
Apr 12, 2013
by
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isc
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modelpaper
2010
sec-a
q5
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0
answers
An open box with a square base is to be made out of a given quantity of cardboard whose area is $c^2$ square units.Show that the maximum volume of the box is $\large\frac{c^3}{6\sqrt 3}$cubic units.
asked
Apr 15, 2013
by
sreemathi.v
isc
class12
modelpaper
2008
sec-a
q5
q5-b
0
votes
0
answers
A wire of length 20m is available to fence off a flower bed in the form of a sector of a circle.What must be the radius of the circle,if we wish to have a flower bed with the greatest possible area?
asked
Apr 12, 2013
by
sreemathi.v
isc
class12
modelpaper
2009
sec-a
q5
q5-b
0
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A printed page is to have a total area of 80 sq.cm with a margin of 1 cm at the top and on each side and a margin of 1.5 cm at the bottom.What should be the dimensions of the page so that the printed area will be maximum?
asked
Apr 10, 2013
by
sreemathi.v
isc
class12
modelpaper
2012
sec-a
q5
q5-b
0
votes
0
answers
Prove that the area of right-angled traingle of a given hypotenuse is maximum when the triangle is isosceles.
asked
Apr 17, 2013
by
sreemathi.v
isc
class12
modelpaper
2005
sec-a
q5
q5-b
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