Looking for accurate SEBA Class 10 Maths Exercise 7.2 (Coordinate Geometry) textual solutions for the 2026–27 academic year? Access complete step-by-step solutions covering the section formula (x, y) = (m1x2 + m2x1)/(m1 + m2), (m1y2 + m2y1)/(m1 + m2), midpoint formula, finding section ratios k:1, and trisection of line segments to score full marks in your HSLC board exams.
EXERCISE 7.2
1. Find the coordinates of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2 : 3.
2. Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).
3. To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1m each. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown in Fig. 7.14. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Padma runs 1/5 th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
4. Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6).
SEBA Class 10 Maths Exercise 7.2 Solutions
5. Find the ratio in which the line segment joining A(1, -5) and B(-4, 5) is divided by the x-axis. Also find the coordinates of the point of division.
6. If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.
Class 10 Maths Chapter 7 Exercise 7.2 Question Answer SEBA 2026-27
7. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, -3) and B is (1, 4).
8. If A and B are (-2, -2) and (2, -4), respectively, find the coordinates of P such that AP = 3/7 AB and P lies on the line segment AB.
Section Formula Class 10 SEBA Ex 7.2 Solutions
9. Find the coordinates of the points which divide the line segment joining A(-2, 2) and B(2, 8) into four equal parts.
10. Find the area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order. [Hint : Area of a rhombus = 1/2 (product of its diagonals)]
SEBA Class 10 Maths Chapter 7 Exercise 7.2 Textbook Answers
11. If the line segment joining the points A (3, 2) and B (5, 1) is divided at a point P in the ratio 1 : 2 and it lies on the line 3x – 18y + k = 0 then the value of k is
(a) 12 (b) 15 (c) 19 (d) 22
12. Point P divides the line segment joining the points A (2, 1) and B (5, -8), such that AP/AB = 1/3. If P lies on the line 2x – y + k = 0, find the value of k.
Class 10 Coordinate Geometry Exercise 7.2 HSLC Solutions
📐 Updated Solutions Notice: This page features complete, step-by-step SEBA Class 10 Mathematics Chapter 7 (Coordinate Geometry) Exercise 7.2 Textual Solutions updated for the 2026–27 academic session. All section formula derivations, ratio evaluations, midpoint calculations, and coordinates of trisection points strictly follow the latest revised Assam Board (SEBA) HSLC curriculum.
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