Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Parabola question

2020 · 3 Sep · Shift 2 · Q24
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Parabola
  5. /2020 · 3 Sep · Shift 2 · Q24

Parabola question

2020 · 3 Sep · Shift 2 · Q24

JEE MainMathematicsParabolaMCQ+4 / −1
Let the latus ractum of the parabola y2 = 4x be the common chord to the circles C1 and C2 each of them having radius 2 5\sqrt 55​. Then, the distance between the centres of the circles C1 and C2 is :
  1. A
    8
  2. B
    12
  3. C
    858\sqrt 585​
  4. D
    454\sqrt 545​
PreviousNext

More from Parabola

  • The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x2 = 4y, internally in the ratio 1 : 2, is :2020 · MCQ
  • If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :2019 · MCQ
  • Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it?2019 · MCQ
  • If θ denotes the acute angle between the curves, y = 10 – x2 and y = 2 + x2 at a point of their intersection, the |tan θ| is equal to :2019 · MCQ
  • Let A(4, − 4) and B(9, 6) be points on the parabola, y2 = 4x. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of Δ ACB is maximum. Then, the area (in sq. units) of Δ ACB, is :2019 · MCQ
  • The length of the chord of the parabola x2 = 4y having equation x –2​y+42​=0 is -2019 · MCQ
  • If the area of the triangle whose one vertex is at the vertex of the parabola, y2 + 4(x – a2) = 0 and the othertwo vertices are the points of intersection of the parabola and y-axis, is 250 sq. units, then a value of 'a' is :2019 · MCQ
  • The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12 – x2 such that the rectangle lies inside the parabola, is :2019 · MCQ