NumericalEasy1 mark
5(ii)
A(−10, −2) and B(2, 10) are two end points of a line segment. If AB intersects the x-axis at P, find the :
coordinates of point P.
Topic: Section / midpoint / centroid
Previous-year question practice database
Answer
Exam answer
P = (−8, 0).
Explanation
Using ratio1:5 in the section formula gives x=[1·2+5(−10)]/6=−8, y=0.
More from Section Formula and Mid-Point Formula
In the given diagram, ΔAOB is a right-angled triangle and C is the mid-point of AB. The coordinates of the point which is equidistant from the three vertices of ΔAOB is :2026ratio in which ‘P’ divides AB.2026write down the coordinates of A, B, C and D.2025calculate the coordinates of ‘P’, the point of intersection of the diagonals AC and BD.2025Write down the coordinates of A and D.2024Find the coordinates of the centroid of ∆ABC.2024