(a) A rod of length 12 cm moves with its ends always touching the coordinate axes.      Determine  the equation ofthe locus of a point P on the rod, which is 3 cmfrom  the end in contact with the x-axis.   (b) The first artificial satellite to orbit the earth was Sputnik I. Its highest point above earth’s         surface was 947 km, and its lowest point was 228 km. The center of the earth was at one        focus of the elliptical orbit. The radius of the earth is 6378 km. Find the eccentricity ofthe         orbit.

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(a) A rod of length 12 cm moves with its ends always touching the coordinate axes.     

Determine  the equation ofthe locus of a point P on the rod, which is 3 cmfrom  the end in contact with the x-axis.

 

(b) The first artificial satellite to orbit the earth was Sputnik I. Its highest point above earth’s 
       surface was 947 km, and its lowest point was 228 km. The center of the earth was at one
       focus of the elliptical orbit. The radius of the earth is 6378 km. Find the eccentricity ofthe 
       orbit.
 

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