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Coordinate Geometry
Important Questions
Important Questions
- Find distance between points (2,3) and (4,1).
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d = √(4-2)2 + (1-3)2 = √4 + 4 = 2√2 units - Find the point on x-axis equidistant from (2,-5) and (-2,9).
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Let point be (x,0). Distance: √(x-2)2 + 25 = √(x+2)2 + 81\n=> (x-2)2 + 25 = (x+2)2 + 81\n=> x2 - 4x + 4 + 25 = x2 + 4x + 4 + 81\n=> -4x - 4x = 85 - 29 => -8x = 56 => x = -7\nPoint: (-7,0)