Ex 11.3, 17 - Chapter 11 Class 11 Conic Sections (Term 2)
Last updated at May 29, 2018 by Teachoo
Last updated at May 29, 2018 by Teachoo
Transcript
Ex11.3, 17 Find the equation for the ellipse that satisfies the given conditions: Foci ( 3, 0), a = 4 Given Foci ( 3, 0) The foci are of the form ( c, 0) Hence the major axis is along x-axis & equation of ellipse is of the form + = 1 From (1) on (2) c = 3 Also, given a = 4 We know that c2 = a2 b2 (3) 2 = (4) 2 b2 b2 = (4) 2 (3) 2 b2 = 16 9 b2 = 7 Equation of ellipse is 2 2 + 2 2 = 1 Putting values 2 (4) 2 + 2 7 = 1 + = 1 Which is required equation
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