CBSE Class 10 Coordinate Geometry — practice questions
52 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 10 Coordinate Geometry in the app →The distance between two points $P(x_1,y_1)$ and $Q(x_2,y_2)$ is:The distance of the point $P(x,y)$ from the origin is:The coordinates of the point dividing the line joining $(x_1,y_1)$ and $(x_2,y_2)$ internally in the ratio m:nThe midpoint of the segment joining $(x_1,y_1)$ and $(x_2,y_2)$ is:The distance between the origin and the point $(3,4)$ is:The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:The distance between the points $(1,2)$ and $(1,5)$ is:The y-coordinate of any point lying on the x-axis is:The x-coordinate of any point lying on the y-axis is:The distance between the points $(a,b)$ and $(-a,-b)$ is:The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:The distance of the point $(-3,4)$ from the origin is:The coordinates of the origin are:In which quadrant does the point (−4, 7) lie?A point lies on the x-axis when:What are the coordinates of the origin?Which point lies on the y-axis?Identify the quadrant of the point (5, −3).Find the distance between (1, 2) and (4, 6).Find the distance of (3, 4) from the origin.Find the distance between (−2, 1) and (3, 5).Are the points A(1, 1), B(2, 3), C(3, 5) collinear?Determine whether triangle with vertices A(0, 0), B(4, 0), C(0, 3) is right-angled.Find x such that the distance from (x, 1) to (2, 3) is √8.Find the midpoint of A(2, −3) and B(8, 5).Find the point P that divides the segment joining A(1, 2) and B(7, 8) in the ratio 1 : 2.The midpoint of segment AB is (4, 5). If A = (2, 3), what is B?Find the point dividing the segment joining (4, −1) and (−2, −3) in the ratio 1 : 3.The centroid of a triangle with vertices A(1, 1), B(4, 7), C(7, 1) is:Point (3, k) is the midpoint of segment joining (1, 4) and (5, 6). Find k.The distance of a point from the y-axis is called its:The distance of a point from the x-axis is called its:A point on the x-axis has coordinates of the form:The graph of ax + by + c = 0, with a and b not both zero, is a:Coordinate geometry was developed as an algebraic tool for studying:Which field is named as an application of coordinate geometry?A point that splits a line segment joining two points does so in a given:Town B is 36 km east of town A and how far north of it?The distance between the two towns is found using the theorem of:For A(4, 0) and B(6, 0) on the x-axis, the distance AB is:For two points not on the axes, the distance between them is found using:The point O(0, 0) is called the:In the relay tower problem, the tower's distance from B is ___ its distance from A.The relay tower P divides AB in the ratio:Taking A as origin and 1 km as one unit, B has coordinates:The tower's coordinates are found using the similarity criterion called:Solving the tower problem gives the position P equal to:The mid-point divides a line segment in the ratio:Finding all three side lengths and then using Heron's formula for area is described as:In deriving the area formula, the figures ABQP, APRC and BQRC are all:The area of a trapezium is half the sum of the parallel sides times the:If AB plus BC equals AC for three points A, B and C, the points are: