find the coordinates of the point P which divides the join of A(-2,5) and B(3,-5) in the ratio 2:3
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Answered by
37
given A(-2,5)
B(3,-5)
P(x,y)
PA:PB=2:3
3PA=2PB
squaring on both sides
9(PA)^2=4(PB)^2
9[(x+2)^2+(y-5)^2]=4[(x-3)^2+(y+5)^2]
9[x^2+4+4x+y^2+25-10y]=4[x^2+9-6x+y^2+25+10y]
9x^2+36+36x+9y^2+225-90y=4x^2+36-24x+4y^2+100+40y
5x^2+5y^2+261+36x-90y=136-24x+40y
5x^2+5y^2+60x-130y+135=0
I HOPE THIS WILL HELP U
B(3,-5)
P(x,y)
PA:PB=2:3
3PA=2PB
squaring on both sides
9(PA)^2=4(PB)^2
9[(x+2)^2+(y-5)^2]=4[(x-3)^2+(y+5)^2]
9[x^2+4+4x+y^2+25-10y]=4[x^2+9-6x+y^2+25+10y]
9x^2+36+36x+9y^2+225-90y=4x^2+36-24x+4y^2+100+40y
5x^2+5y^2+261+36x-90y=136-24x+40y
5x^2+5y^2+60x-130y+135=0
I HOPE THIS WILL HELP U
tanmaybhagwat87061:
What is meaning of^ in this answer
Answered by
10
Hence, X,Y coordinates are 1,-5/6
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