Think, Believe, Dream and Dare

An eight-year-old boy approached an old man in front of a wishing well, looked up into his eyes, and asked: "I understand you're a very wise man. I'd like to know the secret of life."

The old man looked down at the youngster and replied: "I've thought a lot in my lifetime, and the secret can be summed up in four words.

The first is think. Think about the values you wish to live your life by.

The second is believe. Believe in yourself based on the thinking you've done about the values you're going to live your life by.

The third is dream. Dream about the things that can be, based on your belief in yourself and the values you're going to live by.

The last is dare. Dare to make your dreams become reality, based on your belief in yourself and your values."

And with that, Walter E. Disney said to the little boy, "Think, Believe, Dream, and Dare."

~ Author Unknown ~



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Analytic Geometry ( F Elect 3 ) Assignment

Analytic Geometry Assignment to be submitted on February 28, 2012.

  I.   Find the equation of the ellipse given the following conditions.

        a.    C( 1, 1) ,  a = 1 ,  c = ¼   with horizontal axis.

        b.   C( 4 , 3 ) ,  a = 5/2  ,  b = 2  with horizontal axis.

        c.    C( 0, 2 ),  F( 0, 5 ) ,  b = 4

        d.   C( 2 , 2 ) ,  c = 3 ,  b = 4  and with vertical axis.

  2.   Find the equation of a locus of a point which moves so that its distance

         from the point  ( ae , 0 ) is  e times its distance from the line x = a/e .

         ( where,  0 < e <  1  ).

  3.  Find the equation of the parabola given the following conditions.

        a.   F(  -1, 0) ,  V( -3, 0)

        b.   with horizontal axis, V(1, 2 )  and  latus rectum (  E E’ ) = 6

        c.  F( 1, -1 ) , directrix line y = – 5 .

        d.  Focus ( -1 , 4 ) and end points of latus rectum ( -1 , 1).  ( 2 answers )

                    E N D