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

Parabola question

2019 · 9 Jan · Shift 1 · Q33
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Parabola
  5. /2019 · 9 Jan · Shift 1 · Q33

Parabola question

2019 · 9 Jan · Shift 1 · Q33

JEE MainMathematicsParabolaMCQ+4 / −1
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?
  1. A
    (5, 2 6\sqrt 66​)
  2. B
    (6, 4 2\sqrt 22​)
  3. C
    (8, 6)
  4. D
    (4, -4)
PreviousNext

More from Parabola

  • 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
  • Let P(4, –4) and Q(9, 6) be two points on the parabola, y2 = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of Δ PXQ is maximum. Then this maximum area (in sq.…2019 · MCQ
  • Tangents drawn from the point (− 8, 0) to the parabola y2 = 8x touch the parabola at P and Q. If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to :2018 · MCQ
  • Let O be the vertex and Q be any point on the parabola, x2=8y. If the point P divides the line segment OQ internally in the ratio 1:3, then locus of P is :2015 · MCQ