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If the line passing through the focus `S`of the parabola `y=a x^2+b x+c`meets the parabola at `Pa n dQ`and if `S P=4`and `S Q=6`, then find the value of `adot` |
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Answer» Correct Answer - `pm(5)/(48)` The length of latus rectum of`y=ax^(2)+bx+c" is "1//|a|`. Now, the semi-latus rectum is the HM of SP and SQ. Then, we have `(1)/(SP)+(1)/(SQ)=(2)/(1//|2a|)` `or4|a|=(1)/(4)+(1)/(6)=(5)/(12)` `ora=pm(5)/(48)` |
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