TS EAMCET Coordinate Geometry: Plane — practice questions
83 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAMCET 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?How far is the plane 6x + 3y + 2z = 14 from the origin?Which is the equation of the plane through (1, 2, 3) with normal vector (2, -1, 4)?A plane cuts the axes at x = 2, y = 3 and z = 6. Which is its equation?Where does the plane 2x + 3y + 6z = 12 meet the z-axis?Which plane is parallel to 2x - 3y + z = 5?Which plane is perpendicular to the plane 2x + 3y - z = 1?Which equation represents the yz-plane?A plane is parallel to the xy-plane and passes through (3, 4, 5). What is its equation?The plane 2x + 3y = 6 contains no z term. Which line is it parallel to?What is the reflection of the point (1, 2, 3) in the xy-plane?Plane 3x + 4y + 12z = 12 and the coordinate planes enclose a tetrahedron. Its volume is:The plane 3x + 4y = 10 has no z term. How far is it from the origin?What is the distance between the points (1, 2, 3) and (4, 6, 3)?What name is given to the generalization of quadrant and octant to any number of dimensions?The axes of a two-dimensional Cartesian system divide the plane into how many regions called quadrants?In which quadrant is the abscissa negative and the ordinate positive?What happens to the orientation of a plane coordinate system if both axes are switched in direction?Which direction does the y-axis usually point in computer graphics displays?Which plane through the origin contains the y-axis and the point (1, 0, 1)?Which plane contains the three points (2, 0, 0), (0, 2, 0) and (0, 0, 2)?What is the perpendicular distance from the origin to the plane 2x + 3y + 6z = 14?How far is the origin from the plane 3x - 4y + 12z = 26?A plane passes through (1, 2, 3) and has normal direction ratios 2, 3, 4. What is its equation?What are the intercepts made on the x, y and z axes by the plane 3x + 2y + z = 6?Find the cosine of the angle between the planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7.For what value of a is the plane 3x - 2y + az = 4 perpendicular to x + y + z = 0?Two parallel planes 2x + 2y + z = 3 and 2x + 2y + z = 9 are how far apart?Which equation represents the plane that contains the x-axis and the point (0, 1, 1)?Which plane is perpendicular to the z-axis and passes through (1, 2, 7)?Find direction ratios of the line where x + y + z = 1 meets x - y + 2z = 3.A line has direction ratios 1, 2, 2. What is the sine of its angle with the plane z = 0?Which plane through the origin passes through the line where x + y + z = 1 meets 2x + 3y - z = 4?The three coordinate planes together divide three-dimensional space into how many octants?What is the sum of the intercepts of the plane 6x + 3y + 2z = 6 on the three axes?The cross product of the normals of two planes is the zero vector. What does this show?Which plane has the vector (4, -3, 2) as a normal?