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find the equation of an ellipse Centre is at orgin,major axis is along x axis,e=2/3 and passess throught the point (2,-5/3)
1. let eqn. of the ellipse be x2/a2 + y2/b2 = 1...........................($) Now pass the points as it satifies the ellipse! You will get a eqn. in the form of a and b 2. Now, as we know that b2=a2(e2-1).............................(@) eccentricity is given = 2/3 put in the eqn. (@) u will get an another eqn. in the form of a and b 3. nOw u have two variables and two eqns. solve them and get the values kif a and b! 4. Put the values of a and b into the eqn. of the ellipse eqn............($) and get the eqn of the ellipse! Hope it helped u!
1. let eqn. of the ellipse be x2/a2 + y2/b2 = 1...........................($)
Now pass the points as it satifies the ellipse!
You will get a eqn. in the form of a and b
2. Now, as we know that
b2=a2(e2-1).............................(@)
eccentricity is given = 2/3
put in the eqn. (@) u will get an another eqn. in the form of a and b
3. nOw u have two variables and two eqns. solve them and get the values kif a and b!
4. Put the values of a and b into the eqn. of the ellipse
eqn............($)
and get the eqn of the ellipse!
Hope it helped u!
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