Question

In what ratio is the line segment joining the points P(3, -6) and Q(5.3)
divided by x-axis ?​

Answer 1

Answer: The required ratio is 2:1

Answer 2

The line segment joining the points P(3,-6) and Q(5,3) divided by x-axis in the ratio 2:1.

Step-by-step explanation:

Let O(x,0) be the point on the line segment joining P(3,-6) and Q(5,3) and divided the line in the ratio K:1

Section formula :$x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}$

$m_1=k,m_2=1$

$x_1=3,y_1=-6,x_2=5,y_2=3$

Using the section formula

$0=\frac{k(3)+1(-6)}{k+1}$

$3k-6=0$

$3k=6$

$k=\frac{6}{3}=2$

Hence, the line segment joining the points P(3,-6) and Q(5,3) divided by x-axis in the ratio 2:1.

#Learns more:

https://brainly.in/question/14545636