Find those points on x-axis, each …
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Preeti Dabral 2 years ago
Let the required point on the x-axis be P(x, 0). Then,
PA = 5 {tex}\Rightarrow{/tex}PA2 =25
{tex}\Rightarrow{/tex} (x - 5)2 + (0 + 3)2 = 25
{tex}\Rightarrow{/tex} x2-10x + 25 + 9 =25 {tex}\Rightarrow{/tex}x2 - 10x + 9 =0
{tex}\Rightarrow{/tex} x2 - x - 9x + 9 = 0 {tex}\Rightarrow{/tex} x(x -1) -9(x - 1)=0
{tex}\Rightarrow{/tex}(x - 1) (x -9) =0 {tex}\Rightarrow{/tex} x - 1 =0 or x - 9 =0
{tex}\Rightarrow{/tex} x = 1 or x = 9.
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