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Showing posts from September, 2020

Conic section For IIT-Jee , NDA ,air force 31-45 (SET 3 )

conic section Question no. 31 The value of b does the line y= x+b touches the ellipse 9x 2 + 16y 2 = 144 is. looks_one ∓5 looks_two ∓3 looks_3 ∓2 looks_4 ∓4 Answer Option looks_one ∓5 Solution Solution : y = x + b is tangent on ellipse 9x 2 + 16y 2 = 144 (x 2 /16 + y 2 /9= 1) Equation of tangent : Question no. 32 The straight line lx + my +n =0 touches the ecllipse x 2 /a 2 + y 2 /b 2 =1 if looks_one a 2 l 2 +b 2 m 2 = n 2 looks_two a 2 n 2 + b 2 a 2 =m 2 looks_3 a 2 m 2 + l 2 n 2 =m 2 looks_4 a 2 b 2 + l 2 m 2 =n 2 Answer option looks_one a 2 l 2 +b 2 m 2 = n 2 Solution Solution : lx + my +n =0 is the tangent of x 2 /a 2 + y 2 /b 2 =1 Equation of tangent : Question no. 33 If the angle between the straight lines joining foci and the end of minor axis of the ellipse x 2 /a 2 + y 2 /b 2 =1 is 90 o , then its eccentricity looks_one 1/2 looks_two...