If the line `x+2y=4` cutting the ellipse whose axes are coordinate axes in points whose eccentric angles`30^(@)`&`60^(@)` subtends right angle at the origin.Then length of minor axis

If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 in points whose eccentric angies are 30^(@) and 60^(@) subtends right angle at the origin then its equation is

Find the equation of the ellipse whose axes are along the coordinate axes,foci at (0,+-4) and eccentricity 4/5.

The equation of the ellipse whose axes along the coordinate axes, vertices are (0 ,+- 10) and eccentricity e=(4)/(5), is

The normal chord of the parabola y^(2)=4ax subtends a right angle at the vertex.Then the length of chord is

The equation of the ellipse , with axes parallel to the coordinates axes , whose eccentricity is (1)/(3) and foci at (2,-2) and (2,4) is

Find the equation of the ellipse whose axes are along the coordinate axes,vertices are (0,+-10) and eccentricity e=4/5

The straight line ax+by=1 makes with the curve px^(2)+2axy+qy^(2)=r, a chord which subtends aright angle at the origin.Then

The equation of the ellipse with its axes as the coordinate axes respectively and whose minor axis =6 and eccentricity= 1/2 is

The equation of the ellipse with its axes as the coordinate axes respectively and whose major axis =6 and minor axis =4 is