Equation of ellipse : 4x2+3y2=1
⇒e=1−43=21
Foci of the ellipse: (±2×21,0) i.e.,(±1,0)
For hyperbola: Length of the transverse axis=2a=2⇒a=21
Foci of hyperbola (±1,0)⇒ae=1
b2=a2e2−a2=1−21=21
Equation of hyperbola :(1/2)x2−(1/2)x2=1
⇒x2−y2=21⇒2x2−2y2=1
Only the point, (23,21) does not satisfy the above equation.