TS EAPCET (Engineering) Coordinate Geometry: Plane — practice questions
47 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAPCET (Engineering) Coordinate Geometry: Plane in the app →Find the length of the segment joining the points (1, 2) and (4, 6).How far is the point (-2, 3) from the point (3, -9)?A beetle crawls straight from (2, -1) to (10, 5). How far does it travel?In which quadrant does the point (-3, -4) lie?The point (2, -6) lies in which quadrant?A point has a negative abscissa and a positive ordinate. Where is it?The point (3, 4) is translated by adding (2, -5). Where does it land?A shift of (4, 3) is applied to every point. Where does (-2, 7) go?Every coordinate of a shape is multiplied by 4. Where does (3, -2) go?Vertices of a triangle are (-3, 5), (7, 1) and (2, -3). Locate its centroid.A triangle has corners (2, 3), (4, 7) and (9, 5). Where is its centroid?A metal sheet is cut as a triangle with corners at (0, 0), (8, 0) and (4, 6). Where would it balance on a pin?The centroid of a triangle is (3, 2) and two vertices are (1, 1) and (4, 2). Find the third vertex.What is the length of the diagonal of the unit square with a corner at the origin?Which of these points lies on the unit circle centred at the origin?A rectangle has corners (0, 0), (12, 0), (12, 5) and (0, 5). Find its diagonal.What is the midpoint of the points (-6, 3) and (2, 9)?Where is the midpoint of the line joining the origin to (10, -6)?The midpoint of a segment is (3, 4) and one end is (1, 2). Where is the other end?A point P(x, 0) on the X-axis is equally far from (2, 3) and (6, 5). Find x.In what ratio does the centroid divide each median, counting from the vertex?A median of a triangle is 15 cm long. How far is the centroid from its vertex?A parallelogram has corners (0, 0), (6, 0), (8, 4) and (2, 4). Find its centroid.How many medians does every triangle have, meeting at its centroid?Which French thinker gave Cartesian coordinates their name?In which year did Descartes publish the idea of coordinates?What is the first coordinate of a point in the plane called?What name is given to the second coordinate of a plane point?What is the point where the two perpendicular axes meet called?Which list names the four kinds of Euclidean motions of the plane?Which of these plane maps always preserves the distance between points?Multiplying all coordinates by 3 is which kind of map?Which coordinate system is designed for locating points on a plane?Into how many octants do three Cartesian axes divide space?In 3D space, what is the z-coordinate sometimes called?In many computer graphics systems, how is the y-axis usually oriented?What is the usual orientation of the plane, with x pointing right and y up, called?What does reversing the direction of both axes do to the orientation?Cartesian coordinates played a key role in developing which branch of mathematics?Who first published the plane distance formula, in 1731?By what other name is Euclidean distance occasionally known?How is distance between two non-point objects usually defined?What does the centroid of a plane shape represent?Where does the geometric centroid of a convex object always lie?Where does the centroid of a ring or a bowl lie?In which year was the term centroid coined?Which tool with a pin finds the centroid of a flat uniform lamina by experiment?