1.

The equations to a pair of opposite sides of a parallelogram are \[{{x}^{2}}-5x+6=0\]and \[{{y}^{2}}-6y+5=0\]. The equations to its diagonals are                 [IIT 1994; Pb. CET 2003]

A.            \[x+4y=13\]and \[y=4x-7\]
B.            \[4x+y=13\]and \[4y=x-7\]
C.            \[4x+y=13\]and \[y=4x-7\]    
D.            \[y-4x=13\]and \[y+4x=7\]
Answer» D.            \[y-4x=13\]and \[y+4x=7\]


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