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COORDINATE GEOMETRY Points to Remember 1. 2) 3) In order to locate the position of a point in a plane, we require two perpendicular lines. One of them is horizontal and other vertical. The plane is called Cartesian plane and the lines are known as x-axis and y-axis. The point of intersection of x-axis & y-axis is called origin. The coordinate axes divide the plane into four parts which are called quadrants. The distance of a point from y-axis is called x coordinate or abscissa and the distance from x axis is called y coordinate or ordinate. The coordinates of a point on x-axis are of the form (x,0) and on y-axis are (0, y). Coordinates of origin are (0, 0). The signs of a point in the four quadrants are (+, +), (-, +,), (-, —) and (+, -). COORDINATE GEOMETRY(MCQ) A policeman and a thief are equidistant from the jewel box. Upon considering the jewel box as origin, the position of policeman is (0, 5). If the ordinate of the position of thief is zero, then write the coordinates of the position of thief. a) (0,5) b) (5,0) c) (5,5) d) (0,0) If (a-b, a+b) = (12, 22), then find the value of a and b a) 17,11 b) 11,17 c) 5,17 d) 17,5 Given area (AOAB) = Area ( AOPQ). Find the ordinate of point A a) 2 b) 3 c)4 d) 5 Savon gent pe i A9+1) 3 { 34 x1 a / 8 x 123356 Scanned with CamScanner 4) 10. 11. 12. 13 14. Which of the following points lies on the lines y = x+1? (a) (2,1) (b) (1,2) (c) G2) (d) (0,0) The abscissa of the points (-3,4) is a) 3 b) 4. c) -3— d)_nonc of the above Ifa point lies on x-axis then its ordinate will be a)l b)-! c) 0 d) nonc ofthe these Ordinate of all the points on the x-axis is (a)O (6) 1) (ce) -1 (d) any number The point at which the two coordinate axes meet is called the (a) abscissa (b) ordinate (c) origin (d) quadrant The points in which abscissa and ordinate have different signs will lic in (a) I] and TT quadrants —(b) I and TIT quadrants (c) Land IT quadrants — (d) II and IV quadrants Which of the following points lies on the line y =— x ? (a) (2,2) (b) (2,-2) (c) (3,3) (d) (-2,3) Signs of the abscissa and ordinate of a point in the second quadrant are respectively (a) +,+ (b)-+- ()_,+ (d)+,- The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is (a) (0.5) (b) (5,0) (c) (0,-5) (d) (-5, 0) If the coordinates of the two points are P(-5,3) and Q(8,-9), then (abscissa of Q)-(abscissa of P) is (a) 4 (b) -12, (c) 13) (d) -13 The points whose ordinates is 3 and which lies on y-axis is (a) (0,3) (b) (0-3) (€) 3,0) (d) (-3,0) Scanned with CamScanner 23 Assertion(A):line joining points (2,4) and (2,-4) is parallel to Y-axis Reason (R): When only Y coordinate changes, X coordinate remains same, line joining the points is parallcl to Y-axis 24 Assertion(A): Image or reflection of (-2,6) over X-axis is (2,-6) Reason(R): In reflection over the X-axis, the sign of the Y-coordinate is opposite. 25. Assertion (A): Coordinates of point on Y-axis (0,6) Reason(R) : As no movement on X-axis, X coordinate is 0 NN RO ANSWERS 1 B 2 D 3 Cc 4 B 5 Cc 6 Cc 7 A 8 Cc 9 D 10 B 11 Cc 12, C 13, 0¢C 14 3A 15 B 16 D 7 C€ 18 A 19 D 20 2 21 A 22 D A D A N wn Scanned with CamScanner COORDINATE GEOMETRY (ASSIGNMENT) Plot the following points on graph and find in which quadrant or on which axis do they lie. (i) (2, 5) (ii) (4, -3) (iii) (-5,-7) (iv) (7, -4) (v) (-3,2) (vi) (7, 0) (vii) (-4,0) (viii) (0, 7) (ix) 0,4) (x) (0, 0) 2. P is the point (—3, 7). PM and PN are the perpendicular drawn to X and Y axes meeting them at M and N respectively. State the coordinates of M and N. 3. Plot the points A (3, 6), B (3, 2) and C (8, 2). They are the vertices of a rectangle. Plot these points on a graph paper and then use it to find coordinates of the vertex D. Also find the area of rectangle so formed. 4. Write the coordinates of a point, (a) above x-axis lying on y-axis at a distance of 3 units. (b) below x-axis & on y-axis at a distance of 8 units. (c) _ right of origin on x-axis at a distance of 2 units. 5. Plot the points (5, 4), (0, 0) & (5, 0), Join the points and find the area of the figure. ANSWERS 1. M (-3, 0) N (0, 7) 3 D (8, 6), 20 sq units 4. (a) (0, 3) (b) (0, -8) (c) (2, 0) 5. 10 square units Scanned with CamScanner COORDINATE GEOMETRY SELF PRACTICE ASSIGNMENT 1. Plot the points (-2, 8) (-1, 7) (0, -3) , 3) (3, -1) (5, 0) on graph. 2. In Which quadrant do these points lie? (-2, 4) (3, -1) (1, 0) C1, 2) (3, -5), (4, -6) 3. Plot the points (1, 1) (2, -2) and (-1, -2) check if they are collinear. If not then find the area of the figure. 4, What is the distance of the point (2, -1) from y axis. 5. Write the coordinates of the vertices of a rectangle whose length and breadth are 4 units and 3 units respectively, has one vertex at the origin, longer side along x axis and one of the vertices in TV" quadrant. 6. Write the coordinates of A, B, C, D Fee 2 ANSWER ¢ LA i) 110 to3ora 2, I TV,xaxis, I, II, IV hoe » a 3. 4.5 sq units y 4. 2 units 5. (0, 0) (4, 0) (4, -3) (0, -3) 6. A (4, 0) B (3, 4) C(-4, 0) D (2, -2) Scanned with CamScanner 
