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 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

A parabola having directrix x +y +2 =0 touches a line 2x +y -5 = 0 at (2,1). Then the semi-latus rectum of the parabola, is

A parabola having directrix x +y +2 =0 touches a line 2x +y -5 = 0 at (2,1). Then the semi-latus rectum of the parabola, is