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Question

If the graph (O is the origin) of the equation 4x+3y=12 cuts the coordinate axes at A and B respectively, then the length of the hypotenuse of right angle triangle AOB is :
  1. 3 units
  2. 5 units
  3. 2 units
  4. 4 units


Solution

The correct option is B 5 units

4x+3y=12
for y = 0 , x=124=3
for x = 0 , y=123=4

A(3,0) cuts the x -axis
B(0,4) cuts the  y-axis.

In for triangle AOB,
OA = 3 units , OB = 4 units

By Pythagorus theorem,
AB=OA2+OB2
AB=32+42=5 units

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