4. Find a point on PQ which divides it in the ratio 1:3
Question
- Find a point on PQ which divides it in the ratio 1:3
Solution
To find a point that divides the line segment PQ in the ratio 1:3, you need to know the coordinates of points P and Q.
Let's assume that P(x1, y1) and Q(x2, y2) are the coordinates of points P and Q respectively.
The formula to find the point R(x, y) that divides the line segment PQ in the ratio 1:3 is:
x = (m1x2 + m2x1) / (m1 + m2) y = (m1y2 + m2y1) / (m1 + m2)
where m1 and m2 are the given ratio, in this case 1 and 3 respectively.
So, substitute the values of x1, y1, x2, y2, m1 and m2 in the above formulas to get the coordinates of point R.
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