The point (b, a) lies on the straight line ax + by – ab = 0. State whether true or false.

True

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False

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Solution

The correct option is B
False

If point (b, a) lies on the line ax + by – ab = 0, then its coordinates must satisfy the equation of the line.

Thus, LHS = a(b) + b(a) - ab
= ab + ab - ab
= ab
$\neq 0$
Thus the point (b, a) does not lie on the line ax + by - ab = 0.

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