Parabola questions
264 published questions with worked solutions.
- The angle, between the tangents drawn from the point (1, 4) to the parabola y^2=4x, is
- Statement 1: y = mx - 1m is always a tangent to the parabola, y^2 = -4x for all non-zero values of m. Statement 2: Every tangent...
- The area of triangle formed by the lines joining the vertex of the parabola, x^2 = 8y, to the extremities of its latus rectum is
- Statement 1: An equation of a common tangent to the parabola y^2 = 16 3x and the ellipse 2x^2 + y^2 = 4 is y = 2x + 2 3....
- Statement-1: The slope of the tangent at any point P on a parabola, whose axis is the axis of x and vertex is at the origin, is...
- Statement-1: The line x − 2y = 2 meets the parabola, y^2 + 2x = 0 only at the point (−2, −2). Statement-2: The line y = mx - 1 2m...
- A common tangent to the conics x^2 = 6y and 2x^2 - 4y^2 = 9 is:
- Two tangents are drawn from a point (−2, −1) to the curve, y^2 = 4x. If α is the angle between them, then | | is equal to:
- A chord is drawn through the focus of the parabola y^2 = 6x such that its distance from the vertex of this parabola is 5 2 , then...
- Let T be the tangent to the parabola y^2=16x at the point (64,32). Let L be the tangent to the same parabola at another point...
- Given the two ends of the latus rectum, the maximum number of parabolas that can be drawn is
- If the focus of a parabola is (-2, 1) and the directrix has the equation x + y = 3 then the vertex is
- If the vertex and the focus of a parabola are (-1, 1) and (2, 3) respectively then the equation of the directrix is
- The vertex of a parabola is (a, 0) and the directrix is x + y = 3a. The equation of the parabola is
- If the vertex = (2, 0) and the extremities of the latus rectum are (3, 2) and (3, -2) then the equation of the parabola is
- Any point on the parabola whose focus is (0, 1) and the directrix is x + 2 = 0 is given by
- The equation of the parabola whose vertex and focus are on the positive side of the x-axis at distances a and b respectively from...
- The equation x^2 + 4xy + y^2 + x + 3y + 2 = 0 represents a parabola if is
- The focus of the parabola y^2 - x - 2y + 2 = 0 is
- The vertex of the parabola (y - a)^2 = 4a(x + a) is
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