Area of the quadrilateral formed by the tangents to the ellipse x^2/4 +y^2=1 at the end points of its major and minor axes is Share with your friends Share 0 Aarushi Mishra answered this For an ellipsex2a2+y2b2=1, where a>bEnd point of major axis are given by a,0 and -a,0End point of minor axis are given by 0,b and 0,-bComparing withx24+y21=1x222+y212=1a=2b=1End point of major axis are given by 2,0 and -2,0End point of minor axis are given by 0,1 and 0,-1Draw tangents at these pointsFrom the figure it is clear that tangents at 2,0 and -2,0 are parallel to minor axis and tangents at 0,1 and 0,-1 are prallel to y-axis. Therefore, we can see ABCD is a rectangle.AB=CD=length of major axis=2a=4AD=BC=length of minor axis=2b=2Area of quadrilateral ABCD=Area of rectangle ABCD=AB×CD=8 sq units 0 View Full Answer
