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Maths-

General

Easy

Question

Given the four lines with equations $x plus 2 y equals 33 x plus 4 y equals 7$ $2 x plus 3 y equals 4 text and end text 4 x plus 5 y equals 6$ then these lines are

Concurrent
Perpendicular
The sides of a rectangle
None of these

The correct answer is: None of these

These lines cannot be the sides of a rectangle as none of these are parallel nor they are perpendicular. Now, let us check for concurrency
$open vertical bar table row cell 1 2 minus 3 end cell row cell 3 blank 4 minus 7 end cell row cell 2 3 minus 4 end cell end table close vertical bar equals 1 left parenthesis negative 16 plus 21 right parenthesis minus 2 left parenthesis 2 right parenthesis minus 3 left parenthesis 1 right parenthesis not equal to 0$
Hence, neither is concurrent.

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