Check sibling questions

Slide15.JPG

Slide16.JPG
Slide17.JPG
Slide18.JPG
Slide19.JPG

Solve all your doubts with Teachoo Black (new monthly pack available now!)


Transcript

Example 3 Given figure shows the arrangement of desks in a classroom. Ashima, Bharti and Camella are seated at A(3, 1), B(6, 4) and C(8, 6) respectively. Do you think they are seated in a line? Give reasons for your answer. If Ashima, Bharti & Camella are seated in a line, then points A, B & C must be collinear i.e. AB + BC = AC We Find AB , BC & AC using distance formula Finding AB x1 = 3 , y1 = 1 x2 = 6 , y2 = 4 AB = √((𝑥2 −𝑥1)2+(𝑦2 −𝑦1)2) = √((6 −3)2+(4 −1)2) = √((3)2+(3)2) = √(2(3)2) = (√2)3 = 3√𝟐 Finding BC x1 = 6 , y1 = 4 x2 = 8 , y2 = 6 BC = √((𝑥2 −𝑥1)2+(𝑦2 −𝑦1)2) = √((8 −6)2+(6 −4)2) = √((2)2+(2)2) = √(2(2)2) = (√2)2 = 2√𝟐 Finding AC x1 = 3, y1 = 1 x2 = 8, y2 = 6 AC = √((𝑥2 −𝑥1)2+(𝑦2 −𝑦1)2) = √((8 −3)2+(6 −1)2) = √((5)2+(5)2) = √(2(5)2) = (√2)5 = 5√𝟐 Hence AB = 3√2, BC = 2√2, AC = 5√2 Now, AB + BC = 3√2 + 2√2 = 5√2 = AC So, points A, B & C are collinear Hence, Ashima, Bharti and Camilla are seated in a line

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.