28/03/2020 Coordinate 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. The points of intersection of the graphs of y = x² + 2 and y = 2x + 5 when drawn on the same set of axes are(3, 0) and (-1, 0)(1, 0) and (-3, 0)(-1, 3) and (3, 11)(-1, 11) and (3, 3)2. Which of the following lines is perpendicular to the line 5x + 2y = 6?5x - 2y = 62y - 5x = 65y -2x = 65y + 2x = -63. Find the gradients and the intercepts on the y- axis for 5x = 6ym = 5/6, c= 0m = 1/6, c= -1m = 1, c = -1/2m = -1, c= -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?2-8-5-75. Find the gradients and the intercepts on the y- axis for y+3= 0m = 0, c = 3m= 0, c= -3m = 3, c = 0m = -3, c= 06. In which quadrant does the point (-3,4) lie?1st quadrant2nd quadrant3rd quadrant4th quadrant7. The line y =3x + 1 intersects thecurve y = x² -2x + 7 at the points(-2, -5) and (1, 4)(-1, -2) and (3, 10)(2, 7) and (3, 10)(1, 4) and (2, 7)8. Find the equations of the straight lines joining (m, 2n) and (3m, n)nx + 2my -5mn = 0nx - 3my - 10mn = 0x+2ny -7mn = n3nx +my - 8mn = 09. The area of the triangle whose vertices are (a, a), (a + 1, a + 1) and (a + 2, a) is2a1-2a1a³10. The equation of the line isy = 1/2x -2-y = x+2y = x+2y = -2/3x + 211. 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 = 1x + y= -1x - y = -1x - y = 112. Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0 y = x+23y = 5x-2y = 5/ 3x-23y = 2x+513. 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.(5/3, 1/3)(3/49, 1/10)(49/3, 10)(3/5, 4/13)14. Find the equations of the straight lines passing through the point (2, -1) and the gradient 2y = x +1y = 2x - 5y = x + 7y = 4x + 915. The quadrants where abcissa and ordinate have different signs are?2nd & 3rd quadrant2nd & 4th quadrant1st & 3rd quadrant1st & 2nd quadrant16. The intercept of the line y = 3x on the x-axis is1031/317. Find the equation of the line whose slope is 2 and y intercept is - 3.y = 2x-3y = x+2y = 3x-2y = 2/ 3x-118. The maximum value of y in the equation y = 1 + x - 4x² is217/1617/8119. Find the area of the triangle formed by the vertices (4, 5), (10, 12) and (-3, 2)44.53.5320. 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, 17/3)(5/3, 1/3)21. 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 isy - 3x = -5y - 3x = 5x -3y = 53y - x = 522. 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(-2, -4)(6, 12)(3, 6)(-1, -2)23. 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)24. The graph of the function 2y = x² - x - 6 intersects the y axis at the point(2, -3)(-2, 0)(0, -6)(0, -3)25. 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)(8/3 11/3)(3/8, 3/11)(5/3, 1/3)26 out of 25Time is Up!
