A) \[\left( \frac{p}{2},\ p \right)\]
B) \[\left( \frac{p}{2},\ -p \right)\]
C) \[\left( \frac{-p}{2},\ p \right)\]
D) \[\left( \frac{-p}{2},\ -p \right)\]
Correct Answer: B
Solution :
Focus of parabola \[{{y}^{2}}=2px\] is \[(p/2,0)\] .....(i) \ Radius of circle whose centre is \[(p/2,0)\]and touching \[x+(p/2)=0\]is p. Equation of circle is \[{{\left( x-\frac{p}{2} \right)}^{2}}+{{y}^{2}}={{p}^{2}}\] .....(ii) From (i) and (ii), we get the point of intersection \[\left( \frac{p}{2},p \right),\left( \frac{p}{2},-p \right)\].You need to login to perform this action.
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