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10. Find the condition that the line lx +my+ n = 0 may be a normal to the ellipse x y2 1 a 62

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10. Find the condition that the line lx +my+ n = 0 may be a normal to the ellipse x y2 1 a 62 11. Show that the pair of tangents drawn from the center of a hyperbola are its asymptotes. 12. Solve the differential equation: dy y = +tan dx X 13. Solve: y-2px+ayp=0 where p= dy dx dy 14. Solve the differential equation: x+ylogy=xye* dx 15. Solve the differential equation: x2 dy dy +x -4y= x dx dx

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