" "ind the eccentricity of the ellipse whose equation is "|z-4|+|z-(12)/(5)|=10

Find the latus rectum and eccentricity of the ellipse whose semi-axes are 5 and 4.

The vertices of an ellipse are (-1,2) and (9,2) . If the eccentricity of the ellipse be (4)/(5) , find its equation .

Find the equation of the ellipse whose is (5,6), equation of directrix x+y+2=0 and eccentricity is (1)/(2) .

Consider an ellipse having its foci at A(z_(1)) and B(z_(2)) in the Argand plane.If the eccentricity of the ellipse be e an it is known that origin is an interior point of the ellipse, then prove that e in(0,(|z_(1)-z_(2)|)/(|z_(1)|+|z_(2)|))

Consider an ellipse having its foci at A(z_1)a n dB(z_2) in the Argand plane. If the eccentricity of the ellipse be e an it is known that origin is an interior point of the ellipse, then prove that e in (0,(|z_1-z_2|)/(|z_1|+|z_2|))

Consider an ellipse having its foci at A(z_1)a n dB(z_2) in the Argand plane. If the eccentricity of the ellipse be e and it is known that origin is an interior point of the ellipse, then prove that e in (0,(|z_1-z_2|)/(|z_1|+|z_2|))

Consider an ellipse having its foci at A(z_1)a n dB(z_2) in the Argand plane. If the eccentricity of the ellipse be e and it is known that origin is an interior point of the ellipse, then prove that e in (0,(|z_1-z_2|)/(|z_1|+|z_2|))

Eccentricity of the ellipse |z-4| + |z-4i| = 10 sqrt(2) is __________

Find the equation of the ellipse whose major axis is 8 and eccentricity (1)/(2) .

Find the equation of the ellipse whose centre is at the origin, foci are (1,0)a n d(-1,0) and eccentricity is 1/2.