Welcome to your Coordinate Geometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. 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) (-1, 3) (2,0) (0, 2)2. 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. (3/49, 1/10) (5/3, 1/3) (3/5, 4/13) (49/3, 10)3. Find the slope from the points 9 -3 -2/3 24. Which of the following pairs of graphs cannot be used to find the solution to the cubic equation x³ -3x² + 3x - 9 = 0 ? y = x² - 3x + 3and y = 9/x y = x³ -3x² and y = 3x - 9 y = x³ and y = 3x² - 3x + 9 y = x³ -3x² + 3x and y = 95. Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0 3y = 5x-2 y = 5/ 3x-2 y = x+2 3y = 2x+56. 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). (2, 10) and (1, 0). (2, 0) and (10, 0). (0,2) and ( 0,10).7. 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 only I, II and III II and III only I and III only8. The quadrants where abcissa and ordinate have different signs are? 1st & 3rd quadrant 2nd & 4th quadrant 2nd & 3rd quadrant 1st & 2nd quadrant9. The line y =3x + 1 intersects thecurve y = x² -2x + 7 at the points (-2, -5) and (1, 4) (2, 7) and (3, 10) (-1, -2) and (3, 10) (1, 4) and (2, 7)10. Which point is the reflection of the point (–7, 5) over the line y = –x? (7, -5) (5, -7) (-5, 7) (7, 5)11. Find the equation of the line passing through (2, -1) and parallel to the line 2x – y = 4. y = x+1 y = 2/ 5x-1 y = 2x-5 y = 5x-212. 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 -713. Which of the following lines is perpendicular to the line 5x + 2y = 6? 5x - 2y = 6 5y -2x = 6 5y + 2x = -6 2y - 5x = 614. Find the equations of the straight lines joining (0, 3), (2, 0) y-4+2 2x+6=0 3x+2y-6 = 0 x-y+6=015. In which quadrant does the point (-3,4) lie? 1st quadrant 3rd quadrant 4th quadrant 2nd quadrant16. 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) (5/3, 1/3) (3/8, 3/11) (8/3 11/3)17. 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)18. 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.) 36 41 33 2519. The graphs of the functions y = x³ - 9x and y = 18 - 2x² intersect at the points which the x-coordinates -1, 0 and 3 0, 2 and 3 -3, 1 and 3 -3, 2 and 320. 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? 30 23 15 1221. 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? 89 36 96 10922. The area of the triangle whose vertices are (a, a), (a + 1, a + 1) and (a + 2, a) is 1-2a 2a a³ 123. 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). (8/3, 11/3) (3/8, 3/11) (5/3, 1/3) (5/3, 17/3)24. 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? 8 6 9 725. The points of intersection of the graphs of y = x² + 2 and y = 2x + 5 when drawn on the same set of axes are (-1, 11) and (3, 3) (1, 0) and (-3, 0) (3, 0) and (-1, 0) (-1, 3) and (3, 11)26 out of 25Time is Up!
