[" length of common tangent to the ellipse "],[(y^(2))/(9)=1" and "(x^(2))/(9)+(y^(2))/(16)=1" is "],[(7sqrt(3))/(5)],[(14sqrt(2))/(5)quad " d) "(7sqrt(2))/(10)]

The length of common tangent to the ellipses (x^(2))/(16)+(y^(2))/(9)=1 and (x^(2))/(9)+(y^(2))/(16)=1 is

Length of the chord of contact of (2,5) with respect to y^(2)=8x is (3sqrt(41))/(2) (2sqrt(17))/(3) (7sqrt(3))/(5) (5sqrt(3))/(7)

If L be the length of common tangent to the ellipse (x^(2))/(25)+(y^(2))/(4)=1 and the circle x^(2)+y^(2)=16 intercepted by the coordinates axis then (sqrt(3L))/(2) is _____

If L be the length of common tangent to the ellipse (x^(2))/(25)+(y^(2))/(4)=1 and the circle x^(2)+y^(2)=16 intercepted by the coordinates axis then (sqrt(3L))/(2) is _____

Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2))/(9)=1 at ((5)/(sqrt(2)),(3)/(sqrt(2))) is the line 5x-3y=8sqrt(2)

The eccentricity of the ellipse 4x^(2)+9y^(2)=36 is (1)/(2sqrt(3)) b.(1)/(sqrt(3)) c.(sqrt(5))/(3) d.(sqrt(5))/(6)

Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2))/(9)=1 "at" ((5)/(sqrt(2)),(3)/(sqrt(2))) is the line 5x-3y=8sqrt(2) .

Show that the length of common tangent to the ellipse 'x^(2)/(25)+y^(2)/(4)=1' and the circle x^(2)+y^(2)=16 intercepted by the co ordinate axis is (14)/sqrt(3)

The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and the circle x^2+y^2=3 are +-1 (b) +-sqrt(2) (c) +-sqrt(3) (d) none of these

The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and the circle x^2+y^2=3 are +-1 (b) +-sqrt(2) (c) +-sqrt(3) (d) none of these