Geometry - Straight Lines & Triangle

Co-Ordinate Geometry

• Centroid : Medians are concurrent (G)
• Incentre: Int angle bisector are concurrent (I)
• Orthocentre : Altitudes are concurrent (H)
• Circumcentre : Perpendicular bisector are concurrent (O)
• H,G,O are collinearG divides HO in the ratio 2:1
• In an isoceles triangle all centres are collinear.

Problems:

1. Find the straight line passing through the point of intersection of straight lines x+y-5 = 0 and 4x-7y+10 = 0 and which is farthest from the point (2,2).
2. Prove that a Δ having all vertices with integer co-ordinates cannot be equilateral.??
   

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Solution: Download PDF

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IIT JEE EXAM 2011- EXAM DATE 10 April 2011, Last date to Apply = 15 December 2010