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What will be the area of triangle formed by joining the points P (2, 3), Q (4, 6) and R (6, 9)?(a) 0(b) 2(c) 3(d) 4The question was asked in an online interview.My doubt stems from Geometry topic in division Coordinate Geometry of Mathematics – Class 10 |
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Answer» CORRECT CHOICE is (a) 0 Easy explanation: We know that, area of TRIANGLE = \(\FRAC {1}{2}\){x1 (y2 – y3 ) + x2 (y3 – y1 ) + x3 (y1 – y2 )} Let US assume the vertices of the triangle are (2, 3), (4, 6) and (6, 9). The area of triangle = \(\frac {1}{2}\) {2(6 – 9) + 4(9 – 3) + 6(3 – 6) } = \(\frac {1}{2}\){0} = 0 units Hence, the area of triangle is zero, the points are collinear. |
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