A) \[(4,2),(4,-2)\]
B) \[(2,4),(2,-4)\]
C) \[(4,2),(-4,2)\]
D) \[(-2,4),(2,4)\]
Correct Answer: C
Solution :
The length of double ordinate of parabola \[=8=PQ\] \[\therefore \] \[PR=RQ=4\] \[\therefore \]Coordinates of P and Q will be\[(-4,{{y}_{1}})\]and \[(4,{{y}_{1}})\] Since, P lies on\[{{x}^{2}}=8y\] \[\therefore \] \[{{(-4)}^{2}}=8{{y}_{1}}\Rightarrow 16=8{{y}_{1}}\Rightarrow {{y}_{1}}=2\] Hence, coordinates of end points of double ordinate are (4, 2) and\[(-4,2)\].You need to login to perform this action.
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