Question

In what ratio does the X-axis divide the line segment joining the points (2,-3)and (5,6)? find the coordinate of the point of intersection

Answer 1

Hey


Here is ur answer


Point lie on x -axis so its ordinate is 0

So

The coordinate of that point is (x,0)

now
We know that

x = M1x2 +M2x1/M1+ M2

And
y = M1y2 + M2y1/M1 +M2

But we know that y=0

So
0 =6M1-3M2/M1 + M2

0 = 6M1 -3M2

-6M1 = -3M2

M1/M2 = 1/2
The ratio is 1 ratio. 2


x = 1*5 +2*2/1+3 = 5+4 /3 =9/3 =3 The coordinate is (3,0)

Answer 2

hope this answer helps

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