Chapter 10 Class 11 Conic Sections
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Misc 6 - Find area of triangle formed by the lines joining - Parabola - Triangle in parabola problem

Misc 6 - Chapter 11 Class 11 Conic Sections - Part 2

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Transcript

Misc 6 Find the area of the triangle formed by the lines joining the vertex of the parabola x2 = 12y to the ends of its latus rectum. The given equation of parabola is x2 = 12y The above equation is of the form x2 = 4ay Comparing (1) & (2) 12y = 4ay 12 4 = a 3 = a a = 3 Let AB be the latus rectum And AOB be the required triangle Now, a = 3 Hence, OP = 3 Width of latus rectum = 4a = 4 3=12 AB = 12 Area of triangle AOB = 1 2 Base Altitude = 1 2 AB OP = 1 2 12 3 = 18 square units

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.