JEE AdvancedMathematicsParabolaMCQ+3 / −1
Let the circle C1 : x2 + y2 = 9 and C2 : (x 3)2 + (y 4)2 = 16, intersect at the points X and Y. Suppose that another circle C3 : (x h)2 + (y k)2 = r2 satisfies the following conditions : (i) centre of C3 is collinear with the centers of C1 and C2. (ii) C1 and C2 both lie inside C3, and (iii) C3 touches C1 at M and C2 at N. Let the line through X and Y intersect C3 at Z and W, and let a common tangent of C1 and C3 be a tangent to the parabola x2 = 8 y. There are some expression given in the List-I whose values are given in List-II below.
Which of the following is the only CORRECT combination?
Which of the following is the only CORRECT combination?- A(II), (T)
- B(I), (S)
- C(II), (Q)
- D(I), (U)
More from Parabola
- If a chord, which is not a tangent, of the parabola y2 = 16x has the equation 2x + y = p, and mid-point (h, k), then which of the following is(are) possible value(s) of p, h and k?2017 · Multiple correct
- By appropriately matching the information given in the three columns of the following table. Columns 1, 2 and 3 contain conics, equations of tangents to the conics and points of contact, respectively. If a tangent to a suitable conic… Includes table2017 · MCQ
- The circle with centre at , intersects the parabola at the point in the first quadrant, Let the tangent to the circle , at touches other two circles and at …2016 · Multiple correct
- Let be the point on the parabola which is at the shortest distance from the center of the circle . Let be the point on the circle dividing the line segment internally. Then2016 · Multiple correct
- Let and be distinct points on the parabola such that a circle with as diameter passes through the vertex of the parabola. If lies in the first quadrant and the area of the triangle is …2015 · Multiple correct
- If the normals of the parabola drawn at the end points of its latus rectum are tangents to the circle , then the value of is2015 · Numerical
- Let the curve be the mirror image of the parabola with respect to the line . If and are the points of intersection of with the line , then the distance between and is2015 · Numerical
- Suppose that the foci of the ellipse are and where and . Let and be two parabolas with a…2015 · Numerical