Question

If the graph of the equation 4x+3y=12 cuts the co-ordinate axes at and B then the length of AB is
(1)4units
(2)3units
(3)5units
(4)2units

Please Answer the question​

Answer 1

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

=

25

⇒AB=5units

∴ The correct option is '3' "5 units."

Step-by-step explanation:

Hope this answer will help you.