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The longest and the shortest distance of a planet from the sun are `R_(1)` and `R_(2)`. Distances from sun when it is normal to major axis of orbit isA. `(R_(1)+R_(2))/2`B. `sqrt((R_(1)^(2)+R_(2)^(2))/2)`C. `(R_(1)R_(2))/(R_(1)+R_(2))`D. `(2R_(1)R_(2))/(R_(1)+R_(2))` |
Answer» Correct Answer - D `R_(1)=(1+e)a, R_(2)=(1-e)a` `a=(R_(1)+R_(2))/2,R_(1)R_(2)=(1-e^(2))a^(2)` since semi-latus rectum `=(b^(2))/a` `=(a^(2)(1-e^(2)))/(a)=(R_(1)R_(2))/((R_(1)+R_(2))/2)=(2R_(1)R_(2))/(R_(1)+R_(2))` |
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