[" A parabola is drawn through two given points "A(1,0)" and "B(-1,0)],[" such that its directrix always touches the circle "x^(2)+y^(2)=4" .Then "],[" The locus of focus of the parabola is "]

A parabola is drawn through two given points A(1,0,0) and B(-1,0) such that its directrix always touches the circle x^(2)+y^(2)=4. Then The locus of focus of the parabola is=

A parabola is drawn through two given points A(1,0) and B(-1,0) such that its directrix always touches the circle x² + y^2 = 4. Then, The locus of focus of the parabola is (a) (x^(2))/(4) +(y^(2))/(3) = 1 (b) (x^(2))/(4) +(y^(2))/(5) =1 (c) (x^(2))/(3)+(y^(2))/(4) = 1 (d) (x^(2))/(5)+(y^(2))/(4)=1

A parabola is drawn through two given points A(1,0) and B(-1,0) such that its directrix always touches the circle x² + y^2 = 4. Then, the maximum possible length of semi latus rectum is

A parabola is drawn through two given points A(1,0) and B(-1,0) such that its directrix always touches the circle x² + y^2 = 4. Then, the maximum possible length of semi latus rectum is

A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then the locus of the focus of the parabola is:

A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then the locus of the focus of the parabola is :

A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then the locus of the focus of the parabola is :

A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then the locus of the focus of the parabola is :

Consider two concentric circles C_(1):x^(2)+y^(2)=1 and C_(2):x^(2)+y^(2)-4=0 .A parabola is drawn through the points where c_(1) ,meets the x -axis and having arbitrary tangent of C_(2) as directrix.Then the locus of the focus of drawn parabola is (A) "(3)/(4)x^(2)-y^(2)=3, (B) (3)/(4)x^(2)+y^(2)=3, (C) An ellipse (D) An hyperbola