Revision-4 Coordinate Geometry JM-2012-9-Rev4-SA1

Q. 14. In the given(i) Write the x-coordinates and the y-coordinates of the points P , Q, R.(ii) The coordinates of point S(iii) Find the abscissa of the point T(iv) Find the point whose coordinates are ( 5, 3)(v) Find the ordinates of points P and R.Q. 15. In which quadrant do the following points lie?(i) (-3,2) (ii) (-x,-y) (iii) (x,y) (iv) (4,-y)Q. 16. Using the graph given below, find the following :(i) Abssica of P (ii) Ordinate of Q (iii) Coordinate of V (iv) Point on X axis(v) Point of Y axis (vi) Point in I quadrant (vii) Point in II quadrant (viii) Point in III quadrant(ix) Point in IV quadrantQ. 17. Plot the following (-1,0) (1,0) (1,2) (-1,2) . Find the perimeter of the figure so formed.Q. 18. Ram, Shyam and Anil are three friends standing at three different positions. Ram and Anilare in opposite direction but are at equal distance from Shyam. Shyam is at origin andposition of Ram is (0,8). If the abscissa of position of Anil is 0, then what are the coordinatesof Anil's position?Q. 19. Write the coordinates of the vertices of a rectangle whose length and breadth are 6 and 4units respectively. Its one vertex is at the origin, longer side lies on the x-axis and one of thevertices lies in the third quadrant.Q. 20. A car starts from the center of city and in each consecutive hour it covers a distance of 20km(along north), 16 km (along east), 24 km (along south) and 20 km (along west) respectively.Assuming the centre of city to be the origin, north-south direction is along y axis and westeastdirection is along x axis; show the various position of the car on the Cartesian plane.Also, find how far is the car from x and y axis respectively at its final position.

SolutionsQ. 1. Where do the following point lie on the axis?(A) (-6,0) (B) (6,0) (C) (0,-6) (D) (0,6)Ans.Q. 2. Plot the following order pairs in the Cartesian plane.(i) A ( 2, 3) (ii ) B ( 3, -5) (iii) C ( -4, 5) (iv) D ( -1, -3)Ans.Q. 3.Ans.Q. 4. (A) Find the coordinates of the points P, Q, R, S(B) Write the abscissa of P and ordinate of R .

Q. 8. Graphically find the coordinates of the point of intersection of perpendiculars drawnfrom (3,0) and (0,7).Ans.Q. 9. What would be the reflection of (1,2) in IV quadrant?Ans.Q. 10. Which of the following points do not lie on the line 3y = 6 - 2x.(i) (3,0) (ii) (2,2) (iii) (0,2)Ans.

Q. 11. Find the area of the triangle formed by (0,4),(0,0),(3,0).Ans.Q. 12. Find the area of a square the coordinates of whose vertices are (0,0), (2,0), (2,2) and(0,2).Ans.

Q. 14. In the given(i) Write the x-coordinates and the y-coordinates of the points P , Q, R.(ii) The coordinates of point S(iii) Find the abscissa of the point T(iv) Find the point whose coordinates are ( 5, 3)(v) Find the ordinates of points P and R.Ans.(i) P ( 6, 3) ; Q ( -3, 2) ; R( -4, -7)(ii) S (4,-6)(iii) 6(iv) V(v) 3 and -7Q. 15. In which quadrant do the following points lie?(i) (-3,2)(ii) (-x,-y)(iii) (x,y)(iv) (4,-y)Ans.Q. 16. Using the graph given below, find the following :(i) Abssica of P (ii) Ordinate of Q (iii) Coordinate of V (iv) Point on X axis(v) Point of Y axis (vi) Point in I quadrant (vii) Point in II quadrant(viii) Point in III quadrant(ix) Point in IV quadrant

Ans.(i) Abscissa of P is 2 (ii) Ordinate of Q is – 5 (iii) V (-2,2)(iv) S (4,0) (v) T (0,4) (iv) P (2,3)(vi) P (2,3) (vii) U (-4,3) (viii) V (-2,2) (ix) Q (3,-5)Q. 17. Plot the following (-1,0) (1,0) (1,2) (-1,2) . Find the perimeter of the figure so formed.Ans.Q. 18. Ram, Shyam and Anil are three friends standing at three different positions. Ram andAnil are in opposite direction but are at equal distance from Shyam. Shyam is at originand position of Ram is (0,8). If the abscissa of position of Anil is 0, then what are thecoordinates of Anil's position?Ans.

Q. 19. Write the coordinates of the vertices of a rectangle whose length and breadth are 6 and4 units respectively. Its one vertex is at the origin, longer side lies on the x-axis and oneof the vertices lies in the third quadrant.Ans.Q. 20. A car starts from the center of city and in each consecutive hour it covers a distance of20km (along north), 16 km (along east), 24 km (along south) and 20 km (along west)respectively. Assuming the centre of city to be the origin, north-south direction is alongy axis and west-east direction is along x axis; show the various position of the car on theCartesian plane. Also, find how far is the car from x and y axis respectively at its finalposition.Ans.