Find the equation of the chord of the ellipse 4x2+25y2=100 whose middle point is (1,1).
4x +25y =29
Equation of chord of the ellipse x2a2+y2b2=1 whose middle point is (x1,y1) is given by T=S1 or
xx1a2+yy1b2−1=x21a2+y21b2−1
The given ellipse is 4x2+25y2=100 or
x225+y24=1 and the point is (1,1)
T=S1⇒1x25+1y4−1=125+14−1
⇒4x+25y=4+25
=29
4x+25y =29