Welcome to your Coordinate Geometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. The point (1, -2)is located on the graph of a linear function. If y increases by 3 units for each unit increase in x, the equation of the function is y - 3x = -5 3y - x = 5 y - 3x = 5 x -3y = 5 2. Which of the following lines is perpendicular to the line 5x + 2y = 6? 5y -2x = 6 2y - 5x = 6 5y + 2x = -6 5x - 2y = 6 3. 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? 23 15 12 30 4. Find the equation of the line passing through (2, -1) and parallel to the line 2x – y = 4. y = 2/ 5x-1 y = 2x-5 y = 5x-2 y = x+1 5. Which of the following points is located on the curve y =2x² - 3x - 5 ? (2, -1) (1, 3) (3,4) (0, 5) 6. The maximum value of y in the equation y = 1 + x - 4x² is 17/16 1 2 17/8 7. The points of intersection of the curve y = -2x² - x + 3 with the coordinate axes are (0,0), (1, 3/2) and (0, -3) (-1, 0), (3/2, 0) and (0,3) (1, 0), (-3/2, 0) and (0,3) (3/2, 0), (1, 0) and (0, -3) 8. Find the gradients and the intercepts on the y- axis for 3y-2x+5 = 0 m = 2/3, c=-5/3 m = 1/3, c = 5/3 m= 3, c = -5 m = 1, c = -1 9. Determine the equation of a line that cuts the y-axis at -3 that is parallel to the line with equation 3x - 2y = -5 2y - 3x = 6 3x - 2y = 6 2y + 3x = -6 x - 3y = -9 10. In which quadrant does the point (-3,4) lie? 4th quadrant 3rd quadrant 1st quadrant 2nd quadrant 11. Which of the following lines is not parallel to the line x - 2y = 5 ? x + 2y - 3 = 0 2x - 4y - 1 = 0 16x - 32y + 9 = 0 x - 2y + 7 = 0 12. The quadrants where abcissa and ordinate have different signs are? 2nd & 4th quadrant 2nd & 3rd quadrant 1st & 3rd quadrant 1st & 2nd quadrant 13. Which point is the reflection of the point (–7, 5) over the line y = –x? (-5, 7) (7, 5) (7, -5) (5, -7) 14. Graph G has a line of symmetry of x = –5/2. Graph G passes through the point (3, 3). What is the x-coordinate of another point that must have a y-coordinate of 3? -8 2 -5 -7 15. In the figure, the point on segment JK that is four times as far from K as it is from J is: (-1/3, 7/3) (2,0) (0, 2) (-1, 3) 16. 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 and y = 3x - 9 y = x³ and y = 3x² - 3x + 9 y = x² - 3x + 3and y = 9/x y = x³ -3x² + 3x and y = 9 17. Find the slope from the points -3 9 2 -2/3 18. Your new question! 19. 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? (5/3, 1/3) (11/3, 17/3) (8/3 11/3) (3/8, 3/11) 20. Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0 y = 5/ 3x-2 3y = 5x-2 y = x+2 3y = 2x+5 21. The graphs of the functions y = x³ - 9x and y = 18 - 2x² intersect at the points which the x-coordinates -3, 1 and 3 0, 2 and 3 -3, 2 and 3 -1, 0 and 3 22. Find the area of the triangle formed by the vertices (4, 5), (10, 12) and (-3, 2) 4.5 4 3 3.5 23. Find the equation of the line whose slope is 2 and y intercept is - 3. y = 2x-3 y = 2/ 3x-1 y = 3x-2 y = x+2 24. 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 (-1, -2) (6, 12) (3, 6) (-2, -4) 25. Find the slope of the line 2/3 1/2 1 2 1 out of 25 Time is Up! Time's up
