Ellipse: Slope equation of tangents: Selected PQ L1 (a^2m^2+b^2)^1/2
Example 1: If the lines 3^1/2y-x=3 and x-2=0 are tangents to ellipse x^2/a^2+y^2/b^2=1 then find eccentricity, area and length of latus rectum?
Example 2: If a tangent of slope -4/3 of the ellipse x^2/18+y^2/32=1 intersects the major axis and minor axis at A and B then find area of triangle AOB?
Example 3: If the tangent of slope 2 of the ellipse x^2/a^2+y^2/b^2=1 is normal to the circle x^2+y^2+4x+1=0, then maximum value of ab is?
Example 4: Angle between pair of tangents drawn from (1,2) to the ellipse 3x^2+2y^2=1 is
Example 5: An ellipse passes through the point (4.-1) and x+4y-10=0 is a tangent then find its equation? Support the channel:
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