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Questions  

The equations of the pairs of opposite sides of a rectangle are x27x+6=0 and y214y+40=0 the equation of the diagonal nearer the origin is

a
5x−6y+14=0
b
6x−5y+14=0
c
6x+5y−56=0
d
6x+5y−14=0

detailed solution

Correct option is B

Vertices of the rectangle are A(1,4)B(6,4),C(6,10) and D(1, 10)Equation of AC is 6x−5y+14=0Equation of BD is 6x+5y−56=0AC is nearer the origin.

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