if the graph of equation 4x+3y=12 cuts the co-ordinates axes at A and B then the length of AB is:
a. 4 units
b. 3 units
c. 5 units
d. 2 units
pls tell the ans with explanation.
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Answer:
Equation :- 4x+3y=12
When the graph cuts x-axis, y coordinate becomes zero.
⇒4x+3(0)=12
⇒4x=12
⇒x=3
Similarly, when the graph cuts the y-axis, x coordinate is zero.
⇒4(0)+3y=12
⇒3y=12
⇒y=4
If OA=3units
OB=4units
By Pythagoras theorem
(AB)² =(OA)² +(OB)²
=(3)² +(4)²
=9+16
=25
⇒AB=5units
∴ The correct option is 'C'
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