CBSE Class 10 Mathematics Coordinate Geometry Assignment Set C

Question. Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear.
Answer : No

Question. Find a relation between x and y such that the point (x, y) is equidistant from the point(3, 6) and (– 3, 4).
Answer : 3x + y – 5 = 0

Question. Find the point on x-axis which is equidistant from the points (5, −2) and (−3, 2).
Answer : (1, 0).

Question. If Q(0, 1) is equidistant from P(5, –3) and R(x, 6), find the values of x. Also find the distances QR and PR.
Answer : ± 4, QR = √41, PR = 82 , 9 2

Question. 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.
Answer : (- 2/7, 20/7)

Question. Find the coordinates of the point which divides the join of (–1, 7) and (4, –3) in the ratio 2 : 3.
Answer : (1, 3)

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

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 : (3, – 10)