Find a point which is equidistant from the points a(-5,4) and (-1,6)? how many such points are there?
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A(-5,4). B(x,y). C(-1,6)
AB=BC
By Pythagoras
√(x+5)²+(y-4)²=√(x+1)²+(y-6)²
x²+25+10x+y²+16-8y=x²+1+2x+y²+36-12y
25+10x+16-8y=1+2x-12y+36
41-36=2x-12y-10x+8y
5= -(8x+4y)
(2x+y)= -5/4
There are many points which are equal distance from A and C.
i.e. (1,-13/4) , (1/2, -9/5) , etc
Infinite points.
If you understand my answer
Please select as brainlist answers
AB=BC
By Pythagoras
√(x+5)²+(y-4)²=√(x+1)²+(y-6)²
x²+25+10x+y²+16-8y=x²+1+2x+y²+36-12y
25+10x+16-8y=1+2x-12y+36
41-36=2x-12y-10x+8y
5= -(8x+4y)
(2x+y)= -5/4
There are many points which are equal distance from A and C.
i.e. (1,-13/4) , (1/2, -9/5) , etc
Infinite points.
If you understand my answer
Please select as brainlist answers
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