Home
Class 12
MATHS
Consider two concentric circles C(1):x^(...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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=

The number of common tangents to the two circles C_(1):x^(2)+y^(2)=25,C_(2):x^(2)+y^(2)-4x-6y+4-0 is (are)

Consider the curve C_(1):x^(2)-y^(2)=1 and C_(2):y^(2)=4x then The point of intersection of directrix of the curve C_(2) with C_(1)

Consider the two curves C_(1);y^(2)=4x,C_(2)x^(2)+y^(2)-6x+1=0 then :

Number of common tangents to the circles C_(1):x ^(2) + y ^(2) - 6x - 4y -12=0 and C _(2) : x ^(2) + y ^(2) + 6x + 4y+ 4=0 is

The equation of the directrix of the parabola y^(2)+4y+4x+2=0 is x=-1( b) x=1x=-(3)/(2)(d)x=(3)/(2)

The equation of the directrix of the parabola 25{(x-2)^(2)+(y+5)^(2)}=(3x+4y-1)^(2), is

Equation of the circle concentric with the circle x^(2)+y^(2)-3x+4y-c=0 and passing through the point [(-1,-2) is

Find the vertex, focus, axis, directrix and latus rectum of the following parabolas: (i) (y-2)^2 = 3 (x+1), (ii) y^2 + 4x+4y-3=0

The equation of the common tangents of the parabolas y^(2)=4x and an ellipse (x^(2))/(4)+(y^(2))/(3)=1 are