Welcome to your Coordinate Geometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. The equation of the line is y = x+2 y = -2/3x + 2 y = 1/2x -2 -y = x+2 2. Find the area of the triangle formed by the vertices (4, 5), (10, 12) and (-3, 2) 3.5 4 4.5 3 3. Find the co-ordinates of the point of intersection of the medians of triangle MNO; given M = (-2, 3), N = (6, 7), O = (4, 1). (5/3, 17/3) (5/3, 1/3) (8/3, 11/3) (3/8, 3/11) 4. Point W = (5, 3). Circle J has a center at point W and radius of r = 5. This circle intersects the y-axis at one intercept and the x-axis at two intercepts. What is the area of the triangle formed by these three intercepts? 12 23 30 15 5. The intercept of the line y = 3x on the x-axis is 3 1 0 1/3 6. What is the slope of the line passing through the points J (-2, 3) and (2, 7)? 4 3 1 2 7. Line M has a y-intercept of –4, and its slope must be an integer-multiple of 1/7. Given that Line M passes below (4, –1) and above (5, –6), how many possible slopes could Line M have? 7 9 8 6 8. Find the equations of the straight lines joining (0, 3), (2, 0) 2x+6=0 y-4+2 3x+2y-6 = 0 x-y+6=0 9. The graph of the function 2y = x² - x - 6 intersects the y axis at the point (0, -3) (2, -3) (-2, 0) (0, -6) 10. Which of the following lines is perpendicular to the line 5x + 2y = 6? 5y + 2x = -6 2y - 5x = 6 5x - 2y = 6 5y -2x = 6 11. The points of intersection of the graphs of y = x² + 2 and y = 2x + 5 when drawn on the same set of axes are (3, 0) and (-1, 0) (1, 0) and (-3, 0) (-1, 3) and (3, 11) (-1, 11) and (3, 3) 12. In a coordinate system, P = (2, 7) and Q = (2, –3). Which could be the coordinates of R if PQR is an isosceles triangle? I. (12, –3) II. (–6, –9) III. (–117, 2) I and III only II and III only I, II and III II only 13. Find the co-ordinates of a point on x-axis, which is at a distance of 5 units from the point (6, -3). (2, 10) and (0, 0). (0,2) and ( 0,10). (2, 0) and (10, 0). (2, 10) and (1, 0). 14. Which of the following points is located on the curve y =2x² - 3x - 5 ? (3,4) (0, 5) (2, -1) (1, 3) 15. Find the equations of the straight lines joining (m, 2n) and (3m, n) nx - 3my - 10mn = 0 nx + 2my -5mn = 0 x+2ny -7mn = n 3nx +my - 8mn = 0 16. Determine the equation of a line that cuts the y-axis at -3 that is parallel to the line with equation 3x - 2y = -5 x - 3y = -9 2y + 3x = -6 3x - 2y = 6 2y - 3x = 6 17. A straight line y = ax intersects the parabola y = x² -5x + 6 at points P(1,2) and Q(m,n). The values of m and n are (3, 6) (-1, -2) (6, 12) (-2, -4) 18. Find the equations of the straight lines passing through the point (2, -1) and the gradient 2 y = x +1 y = x + 7 y = 2x - 5 y = 4x + 9 19. The maximum value of y in the equation y = 1 + x - 4x² is 1 17/16 17/8 2 20. The line y =3x + 1 intersects thecurve y = x² -2x + 7 at the points (-1, -2) and (3, 10) (1, 4) and (2, 7) (-2, -5) and (1, 4) (2, 7) and (3, 10) 21. Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0 3y = 2x+5 y = x+2 3y = 5x-2 y = 5/ 3x-2 22. Find the coordinates of the point which will divide the line joining the points (3, 5) and (11, 8) externally in the ratio 5: 2. (49/3, 10) (3/49, 1/10) (5/3, 1/3) (3/5, 4/13) 23. Which of the following pairs of graphs cannot be used to find the solution to the cubic equation x³ -3x² + 3x - 9 = 0 ? y = x³ -3x² + 3x and y = 9 y = x³ and y = 3x² - 3x + 9 y = x² - 3x + 3and y = 9/x y = x³ -3x² and y = 3x - 9 24. Find the coordinate of the point which will divide the line joining the point (2, 4) and (7,9) internally in the ratio 1:2? (11/3, 17/3) (3/8, 3/11) (5/3, 1/3) (8/3 11/3) 25. Find the gradients and the intercepts on the y- axis for 5x = 6y m = 1/6, c= -1 m = -1, c= -1 m = 5/6, c= 0 m = 1, c = -1/2 1 out of 25 Time is Up! Time's up