Question

find the coordinates of a point where x axis and the linear represented by x/2+4/3=1 intersect​

Answer 1

Answer:

Answer

Correct option is

B

A=(−4,0),B=(0,3),AB=5

As the point A lies on the x - axis, its y coordinate  =0.

To find the co-ordinates of the point A, substitute y=0 in the equation of the line 3x−4y+12=0.

Hence, 3x−4(0)+12=0.

            =>3x=−12

            =>x=−4

So, point A =(−4,0)

Similarly, as the point B lies on the y - axis, its x coordinate  =0.

To find the co-ordinates of the point B, substitute x=0 in the equation of the line 3x−4y+12=0.

Hence, 3(0)−4y+12=0.

            =>4y=12

            =>y=3

So, point B =(0,3)

Formula to calculate distance between two points (x1,y1) and (x2,y2)=  (x2−x1)2+(y2−y1)2

So, length of AB=(0−(−4))2+(3−0)