Welcome to your Coordinate Geometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Line Q has the equation 5y – 3x = 45. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.) 41 36 33 25 2. 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? (8/3 11/3) (11/3, 17/3) (5/3, 1/3) (3/8, 3/11) 3. ABCD is a rhombus with the diagonals AC and BD intersecting at the origin on the x-y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC? x + y= -1 x - y = 1 x + y = 1 x - y = -1 4. The points of intersection of the curve y = -2x² - x + 3 with the coordinate axes are (0,0), (1, 3/2) and (0, -3) (3/2, 0), (1, 0) and (0, -3) (1, 0), (-3/2, 0) and (0,3) (-1, 0), (3/2, 0) and (0,3) 5. In the figure, the point on segment JK that is four times as far from K as it is from J is: (2,0) (-1, 3) (-1/3, 7/3) (0, 2) 6. Find the gradients and the intercepts on the y- axis for y+3= 0 m = 0, c = 3 m = 3, c = 0 m= 0, c= -3 m = -3, c= 0 7. 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 = x³ -3x² + 3x and y = 9 y = x² - 3x + 3and y = 9/x 8. Which of the following lines is not parallel to the line x - 2y = 5 ? x - 2y + 7 = 0 2x - 4y - 1 = 0 x + 2y - 3 = 0 16x - 32y + 9 = 0 9. The area of the triangle whose vertices are (a, a), (a + 1, a + 1) and (a + 2, a) is 1-2a 1 a³ 2a 10. Find the co-ordinates of a point on x-axis, which is at a distance of 5 units from the point (6, -3). (0,2) and ( 0,10). (2, 10) and (1, 0). (2, 0) and (10, 0). (2, 10) and (0, 0). 11. The quadrants where abcissa and ordinate have different signs are? 1st & 2nd quadrant 2nd & 4th quadrant 2nd & 3rd quadrant 1st & 3rd quadrant 12. Which of the following points is located on the curve y =2x² - 3x - 5 ? (0, 5) (3,4) (1, 3) (2, -1) 13. Find the equations of the straight lines passing through the point (2, -1) and the gradient 2 y = x +1 y = 4x + 9 y = x + 7 y = 2x - 5 14. 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 (6, 12) (3, 6) (-1, -2) (-2, -4) 15. Which of the following lines is perpendicular to the line 5x + 2y = 6? 5y -2x = 6 5x - 2y = 6 5y + 2x = -6 2y - 5x = 6 16. Find the equations of the straight lines joining (m, 2n) and (3m, n) nx + 2my -5mn = 0 3nx +my - 8mn = 0 x+2ny -7mn = n nx - 3my - 10mn = 0 17. Which point is the reflection of the point (–7, 5) over the line y = –x? (5, -7) (-5, 7) (7, -5) (7, 5) 18. Find the gradients and the intercepts on the y- axis for 5x = 6y m = 1, c = -1/2 m = -1, c= -1 m = 1/6, c= -1 m = 5/6, c= 0 19. Find the equation of the line whose slope is 2 and y intercept is - 3. y = x+2 y = 2/ 3x-1 y = 3x-2 y = 2x-3 20. The equation of the line is y = -2/3x + 2 y = x+2 -y = x+2 y = 1/2x -2 21. Your new question! 22. 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) II and III only II only I and III only I, II and III 23. The line y =3x + 1 intersects thecurve y = x² -2x + 7 at the points (-1, -2) and (3, 10) (2, 7) and (3, 10) (1, 4) and (2, 7) (-2, -5) and (1, 4) 24. In which quadrant does the point (-3,4) lie? 4th quadrant 1st quadrant 3rd quadrant 2nd quadrant 25. Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0 y = 5/ 3x-2 3y = 2x+5 y = x+2 3y = 5x-2 1 out of 25 Time is Up! Time's up