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Question

The point (x,y) lies on the line joining (3,4) and (-5,-6) if
4x-5y=1
5x-4y+1=0
5x-4y=1
4x+5y=1

A

4x-5y=1

B

5x-4y=1

C

5x-4y+1=0

D

4x+5y=1

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Solution

Verified by Toppr

The correct option is C 5x-4y+1=0
Area of triangle = 0
or $= \frac{1}{2} [x (4 + 6) + 3 (- 6 - y) - 5 (y - 4)] = 0$
or v(10x - 8y + 2) = 0
or 5x - 4y + 1 = 0

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