Question

the ratio in which the line joining the points(3,-4)and(-5,6)is divided by xaxis

Answer 1

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Answer 2

Hello users.....

Given points are
A (3,-4)and B(-5,6)

We have to find
the ratio in which the line joining the points(3,-4)and(-5,6)is divided by xaxis

Solution:-

We know that
If a line joining point A(a,b) and B (c,d) is divided by point O(x,y)
In ratio m:n
Then x = (m×c + n a) / (m+n)
And
Y = (m×d + n× b) / (m+n)


Here we have point lies in between A(3,-4)and B(-5,6) is O (x,0)

Let the line is divided by point O in ratio of k:1

Then

=> 0 =( k × 6 + 1×-4 ) / ( k+1)

=> 6k -4 = 0
=> 6k = 4
=> K = 4/6 = 2/3

Hence
the ratio in which the line joining the points(3,-4)and(-5,6)is divided by xaxis is 2:3 answer

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