Welcome to your Coordinate Geometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. The graphs of the functions y = x³ - 9x and y = 18 - 2x² intersect at the points which the x-coordinates-1, 0 and 3-3, 1 and 30, 2 and 3-3, 2 and 32. Find the equations of the straight lines joining (0, 3), (2, 0)2x+6=0x-y+6=0y-4+23x+2y-6 = 03. Find the slope of the line121/22/34. 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.)333641255. In which quadrant does the point (-3,4) lie?2nd quadrant4th quadrant1st quadrant3rd quadrant6. The graph of the function 2y = x² - x - 6 intersects the y axis at the point(0, -6)(2, -3)(0, -3)(-2, 0)7. The points of intersection between a straight line and the curve y = -x² + x + 2 give the roots of the equation x² - 2x - 1 = 0. The equation of the line isy = 1 + xy = x -1y = x + 3y = 1 - x8. 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?231530129. The quadrants where abcissa and ordinate have different signs are?2nd & 3rd quadrant1st & 2nd quadrant1st & 3rd quadrant2nd & 4th quadrant10. Find the co-ordinates of a point on x-axis, which is at a distance of 5 units from the point (6, -3).(2, 0) and (10, 0).(0,2) and ( 0,10).(2, 10) and (1, 0).(2, 10) and (0, 0).11. What is the slope of the line passing through the points J (-2, 3) and (2, 7)?413212. 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)(3/5, 4/13)(3/49, 1/10)(5/3, 1/3)13. Which point is the reflection of the point (–7, 5) over the line y = –x?(7, 5)(5, -7)(-5, 7)(7, -5)14. Which of the following lines is perpendicular to the line 5x + 2y = 6?5y + 2x = -65x - 2y = 62y - 5x = 65y -2x = 615. 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?-7-8-5216. The points of intersection of the curve y = -2x² - x + 3 with the coordinate axes are(-1, 0), (3/2, 0) and (0,3)(3/2, 0), (1, 0) and (0, -3)(0,0), (1, 3/2) and (0, -3)(1, 0), (-3/2, 0) and (0,3)17. Which of the following points is located on the curve y =2x² - 3x - 5 ?(0, 5)(1, 3)(3,4)(2, -1)18. Find the area of the triangle formed by the vertices (4, 5), (10, 12) and (-3, 2)44.533.519. Find the equation of the line whose slope is 2 and y intercept is - 3.y = x+2y = 2/ 3x-1y = 3x-2y = 2x-320. 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)(6, 12)(-2, -4)(-1, -2)21. Your new question!22. Find the gradients and the intercepts on the y- axis for 5x = 6ym = 1, c = -1/2m = 1/6, c= -1m = 5/6, c= 0m = -1, c= -123. Find the slope from the points9-32-2/324. Find the gradients and the intercepts on the y- axis for 3y-2x+5 = 0m = 2/3, c=-5/3m = 1, c = -1m = 1/3, c = 5/3m= 3, c = -525. In the x-y plane, point (p, q) is a lattice point if both p and q are integers. Circle C has a center at (–2, 1) and a radius of 6. Some points, such as the center (–2, 1), are inside the circle, but a point such as (4, 1) is on the circle but not in the circle. How many lattice points are in circle C?36968910926 out of 25Time is Up!
