Question

Solve This Coordinate Geometry​

Answer 1

$\huge\boxed{ ANSWER \ : (0, 9)}$

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Let the point be (0, y).

[X coordinate is 0 as it's on the y axis.]

Distance between A and (0, y) = Distance between B and (0, y)

$\Rightarrow\ \sqrt { { (6-0) }^{ 2 }+{ (5-y) }^{ 2 } } =\sqrt { { (-4-0) }^{ 2 }+{ (3-y) }^{ 2 } } \\ \\ \Rightarrow\ 6^2+(5-y)^2=(-4)^2+(3-y)^2 \\ \\ \Rightarrow\ 36+25-10y+y^2=16+9-6y+y^2 \\ \\ \Rightarrow\ 61-10y=25-6y \\ \\ \Rightarrow\ 10y-6y=61-25 \\ \\ \Rightarrow\ 4y=36 \\ \\ \Rightarrow\ y=\bold{9}$

∴ The point is ''(0, 9)''.

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$\huge\boxed{ THANK YOU. :-D } \\ \\ \\ \\ \\ \\ \huge\boxed{\#adithyasajeevan}$