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A variable line whose slope is -2 cuts x and y axis respectively at point A and C . A rhombus ABCD is completed such that vertex B lies on line y=x. Then the locus of vertex D is A) 2x+ y= 1 B) x-y=0 C) x+y=0 D) x + 2y=0

A variable line whose slope is -2 cuts x and y axis respectively at point A and C . A rhombus ABCD is completed such that vertex B lies on line y=x. Then the locus of vertex D is
A) 2x+ y= 1
B) x-y=0
C) x+y=0
D) x + 2y=0 

Grade:11

1 Answers

abdul alim
20 Points
6 years ago
as we know that diagonal of rohmbus are perpendicular to each otern thus the as the slope of diagonal Ac is 2 thus the slope of diagonal BD is -1/2 and the option d have slope thus ans is d

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