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Grade 12th passAnalytical Geometry

Solve question number 2,,,it's a question of ellipse chapter from book of Vikas Gupta mathematics for IIT jee

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rahul kumar

7 Years agoGrade 12th pass

1 Answer

Dilli PRASAD

7 Years ago

Eqt of tangent to ellipse xcosthita/2+ysintita/3-1=

Length of chord =2root r²-d²

^{Where r =5 d= distance}from centre to tangent =6/root of(5cos²tita+4)

Length of chord =2root[25-(36/5cos²tita+4)] for minimum length cos²tita should be max. Max value of cos²tita is 1

So we get 2.4=8

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