28/03/2020Coordinate Geometry(Senior Class Maths Study by Topics) 0Comments by Gate Academy Welcome to your Coordinate Geometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. What is the slope of the line passing through the points J (-2, 3) and (2, 7)? 2 3 4 12. 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)3. The graph of the function 2y = x² - x - 6 intersects the y axis at the point (-2, 0) (0, -6) (2, -3) (0, -3)4. Find the equation of the line whose slope is 2 and y intercept is - 3. y = 2x-3 y = 3x-2 y = 2/ 3x-1 y = x+25. 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.) 33 25 41 366. 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 77. In which quadrant does the point (-3,4) lie? 4th quadrant 1st quadrant 3rd quadrant 2nd quadrant8. Find the equations of the straight lines passing through the point (2, -1) and the gradient 2 y = 4x + 9 y = 2x - 5 y = x +1 y = x + 79. Find the slope of the line 1 2 2/3 1/210. 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? 15 12 23 3011. 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? -5 -7 2 -812. Find the gradients and the intercepts on the y- axis for 3y-2x+5 = 0 m = 1/3, c = 5/3 m = 2/3, c=-5/3 m = 1, c = -1 m= 3, c = -513. 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/x14. The maximum value of y in the equation y = 1 + x - 4x² is 17/8 2 17/16 115. Find the equations of the straight lines joining (m, 2n) and (3m, n) 3nx +my - 8mn = 0 nx - 3my - 10mn = 0 x+2ny -7mn = n nx + 2my -5mn = 016. 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 is y = 1 + x y = 1 - x y = x -1 y = x + 317. 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? 96 109 89 3618. Which of the following lines is perpendicular to the line 5x + 2y = 6? 2y - 5x = 6 5y + 2x = -6 5x - 2y = 6 5y -2x = 619. The quadrants where abcissa and ordinate have different signs are? 1st & 2nd quadrant 2nd & 4th quadrant 2nd & 3rd quadrant 1st & 3rd quadrant20. 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 321. Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0 y = 5/ 3x-2 y = x+2 3y = 2x+5 3y = 5x-222. 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)23. Which of the following lines is not parallel to the line x - 2y = 5 ? x - 2y + 7 = 0 2x - 4y - 1 = 0 16x - 32y + 9 = 0 x + 2y - 3 = 024. The area of the triangle whose vertices are (a, a), (a + 1, a + 1) and (a + 2, a) is 1 1-2a 2a a³25. Your new question!26 out of 25Time is Up!