Q: Find all points on the x-axis that are 5 units from the point (4,-3) A: We want to find all x such that the distance between the points (x, 0) and (4, -3) is equal to 5. Square both sides
Get the square root of both sides 4 - x = 4 or 4 - x = -4 x = 0 or 8 The points on the x-axis are (0, 0) and (8, 0). Write the equation of the line parallel to the X-axis at a distance of 5 units from it and below the X-axis. The equation of the line parallel to X-axis at a distance of 5 units from it and below the X-axis is y = −5. Concept: Equations of Lines Parallel to the X-axis and Y-axis Is there an error in this question or solution? Find points on the x-axis, which are at a distance of 5 units from the point A(5,-3). Asked by Topperlearning User | 21 Nov, 2013, 02:03: AM
Let the required point on x-axis be (x, 0). Using distance formula, we have: (x - 5)2 + (0 + 3)2 = (5)2 (x - 5)2 = 25 - 9 = x - 5 = x = 9, 1 Required points on x-axis are (9, 0) and (1, 0). Answered by | 21 Nov, 2013, 04:03: AM Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App
0 |