Unit-7 Coordinate Geometry
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Unit-7 Coordinate Geometry
Answer: Its y-coordinate is 0 and x is negative, so it lies on the negative x-axis.
Answer: Section formula with m = 1, n = 3: x = (1(4) + 3(0))/4 = 1, y = (1(6) + 3(0))/4 = 3/2.
Answer: Its x-coordinate is 0 and y is positive, so it lies on the positive y-axis.
Answer: Ratio 1 : 1 means the midpoint: ((2+4)/2, (3+7)/2) = (3, 5).
Answer: Its x-coordinate is 0 and y is negative, so it lies on the negative y-axis.
Answer: Section formula with m = 2, n = 1: x = (2(4) + 1(1))/3 = 3, y = (2(8) + 1(2))/3 = 6.
Answer: The two perpendicular axes divide the plane into four quadrants.
Answer: Section formula with m = 1, n = 2: x = (1(5) + 2(3))/3 = 11/3, y = (1(7) + 2(1))/3 = 3.
Answer: d = sqrt((3-0)^2 + (4-0)^2) = sqrt(9 + 16) = sqrt(25) = 5.
Answer: Area = 1/2 (base x height) = 1/2 x 4 x 3 = 6.
Answer: d = sqrt((0-0)^2 + (5-0)^2) = sqrt(25) = 5.
Answer: Area = 1/2 x 6 x 8 = 24.
Answer: d = sqrt((4-1)^2 + (0-0)^2) = sqrt(9) = 3.
Answer: Base = 7 - 1 = 6 and height = 4, so area = 1/2 x 6 x 4 = 12.
Answer: d = sqrt((0-0)^2 + (8-2)^2) = sqrt(36) = 6.
Answer: Area = 1/2 x 3 x 4 = 6.
Answer: Midpoint = ((0+2)/2, (0+4)/2) = (1, 2).
Answer: Area = 1/2 x 5 x 2 = 5.
Answer: Midpoint = ((2+4)/2, (3+5)/2) = (3, 4).
Answer: Area = 1/2 |2(5-1) + 4(1-1) + 6(1-5)| = 1/2 |8 - 24| = 8.