CBSE Class 10 Mathematics Coordinate Geometry Assignment Set 05

CASE STUDY - 1

To conduct Sport Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1m each. 80 flower pots have been placed at a distance of 1 m from each other along AD, as shown in figure Hannah runs 14 th the distance AD in the 2nd line and posts a blue flag. Preeta runs 15 th the distance AD on the 8th line and posts a green flag.

Question. What is the distance between both the flags?
Answer : √61m

Question. If Uthara has to post an orange flag exactly halfway between the line segment joining the two flags, where should she post her flag?
Answer : Co-ordinate Geometry

Question. Which mathematical concept is used in the above problem?
Answer : (5, 45/2)

Question. What value is depicted in this problem?
Answer : Team Spirit

Very Short Answer type Questions

Question. If A and B are (-2, -2) and (2, -4), respectively, find the coordinates of P such that AB = 5AB and P lies on the line segment AB.
Answer : ( − 2/7 , − 20/7)

Question. Find a point on y-axis which is equidistant from A (6,5) and B (-4, 3).
Answer : (0, 9)

Question. Find the third vertex of a 𝛥, if two of its vertices are at (1, 2) and (3, 5) and the centroid at the origin.
Answer : (-4, - 7)

Question. If A (5,2), B (2, -2) and C (-2, t) are the vertices of a right-angled triangle with ∠B = 90°, then find the value of t.
Answer : t = 1

Question. Name the type of triangle formed by the points A (–5, 6), B (–4, –2) and C (7, 5).
Answer : Scalene Triangle

Question. 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).
Answer : A (3, -10)

Question. Find the mid-point of side BC of 𝛥ABC, with A(1, -4) and the mid-points of the sides through A being (2, -1) and (0, -1)
Answer : BC = (1, 2)

Question. The coordinates of the points P and Q are respectively (4, -3) and (-1, 7). Find the abscissa of a point R on the line segment PQ such that PRPQ = 35.
Answer : Abscissa of R = 1

Question. Check whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.
Answer : Yes

Question. Find the area of a rhombus if its vertices (3, 0), (4, 5), (- 1, 4) and (-2, – 1) are taken in order.
Answer : 24 square units

Click on link below to download CBSE Class 10 Mathematics Coordinate Geometry Assignment Set E