Question

The line y = MX + c touches the ellipse x square by a square + y square by b square equal to 1 then the necessary condition is

Answer 1

Answer:

If the line y = mx + c touches the ellipse x2 / a2 + y2 / b2 = 1, then c2 = a2m2 + b2. The straight line y = mx ∓ √[a2m2 + b2] represent the tangents to the ellipse. The equation of the tangent to an ellipse x2 / a2 + y2 / b2 = 1 at the point (x1, y1) is xx1 / a2 + yy1 / b2 = 1.