A) (0, 9)
B) (0, -9)
C) (0, 5)
D) (0, 3)
Correct Answer: A
Solution :
Let point on F-axis be P(0, k). |
Then, \[P{{A}^{2}}=P{{B}^{2}}\] |
\[\Rightarrow \,\,\,{{\left( 6-0 \right)}^{2}}+{{\left( 5-k \right)}^{2}}={{\left( -4-0 \right)}^{2}}+{{\left( 3-k \right)}^{2}}\] |
\[\Rightarrow \,\,\,36+25+{{k}^{2}}-10k=16+9+{{k}^{2}}-6k\] |
\[\Rightarrow \,\,\,4k=36\,\,\Rightarrow k=9\] |
Hence, coordinates of point on Y-axis are (0,9). |
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