Find the lengths of and the equations to the focal radii drawn to the point (4*root3, 5) of the ellipse - Maths - Continuity and Differentiability

Question

Find the lengths of and the equations to the focal radii drawn to
the point (4*root3, 5) of the ellipse 25x^2 + 16y^2 =1600

Aarushi Mishra · Accepted Answer

E:25x2+16y2=1600x264+y2100=1x282+y2102=1Note: This ellipse has y-axis as major axis as b=10>a=8Focal radii from an point P are the lines joining the point P and fociiComapring withx2a2+y2b2=1Focii of ellipseS1=0,b=0,8S2=0,-b=0,-8P=43, 5Equation of first focal radii PS1y-8=5-843-0x-043y-323=-3x3x+43y-323=0Equation of first focal radii PS2y+8=5+843-0x-043y+323=13x-13x+43y+323=0Length of 1st focal radii, PS1=43-02+5-82=48+9=57Length of 1st focal radii, PS1=43-02+5+82=48+169=217

Find the lengths of and the equations to the focal radii drawn to the point (4*root3, 5) of the ellipse 25x^2 + 16y^2 =1600.