Archive for IIT-JEE

Can you sketch a hyperola with equations of hyperbola & asymptotes without finding vertex, focus etc.

// May 6th, 2011 // No Comments » // AIEEE, Bits Pilani, IIT-JEE, XI class, XII class

The intersection of this rectangle and the x-axis gives the vertices (4, 0) and (– 4, 0) of the hyperbola. Draw the lines joining the oppo­site vertices of the rectangle; that is, draw the diagonals of the rectangle and extend them. These lines are the asymptotes of the hyperbola. Since the hyperbola contains its vertices and approaches its asymptotes, a sketch of the hyperbola now can be quickly drawn. If more accuracy is desired, a few points in the first quadrant can be plotted. Then the symmetry of the hyperbola can be used to extend the graph to the other quadrants.
A similar development can be given if the foci of the hyperbola are (0, c) and (0, –c) on the y-axis. Then the roles of a and b would be interchanged, just as with the ellipse.

 

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IIT-JEE 2011 Mathematics paper solutions (Original paper)

// April 11th, 2011 // No Comments » // IIT-JEE

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Solutions of mathematics paper of IIT-JEE 2011 paper has been uploaded in latest updates section of the website. You can free download them.

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IIT: The dream of evey aspiring engineer.. But JEE a blockade barrier..

// July 15th, 2010 // No Comments » // IIT-JEE

IIT. The

IIT. The guarantee of success.

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