ABCD is a rhombus A(2, 4) and C(6, -2). Find equation of diagonal BD.
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ABCD is a rhombus A(2, 4) and C(6, -2). Find equation of diagonal BD.
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ABCD is a rhombus having co ordinates of the diagonal ,
A (2,4) and C ( 6,-2)
so to find equation of diagonal BD ,
we have to find its slope (m)
so,
m = ( y2 - y1 ) / ( x2 - x1 )
here, x1 = 2 , y1 = 4 , x2 = 6 ,y2 = -2
putting values ,
m = ( -2 - 4 ) / 6 - 2
m. = -6 / 4
m= -3 /2
now to find the equation we have,
y - y1 = m ( x - x1 )
y - 4 = ( - 3/2 ) ( x - 2 )
2 ( y - 4 ) = -3 ( x - 2 )
2y - 8 = - 3x + 6
3x + 2y - 14 =0
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