JEE MainMathematicsParabolaNumerical+4 / −1
Let P1 be a parabola with vertex (3, 2) and focus (4, 4) and P2 be its mirror image with respect to the line x + 2y = 6. Then the directrix of P2 is x + 2y = .
Numerical answer
More from Parabola
- Let , be a conic. Let S be the focus and B be the point on the axis of the conic such that , where A is any point on the conic. If k is the ordinate of the centroid of the SAB, then …2022 · MCQ
- Let and be any points on the curves and , respectively. The distance between and is minimum for some value of the abscissa of in the interval :2022 · MCQ
- If the equation of the parabola, whose vertex is at (5, 4) and the directrix is , is , then is equal to :2022 · MCQ
- If vertex of a parabola is (2, 1) and the equation of its directrix is 4x 3y = 21, then the length of its latus rectum is :2022 · MCQ
- Let the focal chord of the parabola along the line meet the parabola at the points M and N. Let the line L be a tangent to the hyperbola …2022 · MCQ
- Let PQ be a focal chord of the parabola y2 = 4x such that it subtends an angle of at the point (3, 0). Let the line segment PQ be also a focal chord of the ellipse $$E:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} =…2022 · MCQ
- Let PQ be a focal chord of length 6.25 units of the parabola y2 = 4x. If O is the vertex of the parabola, then 10 times the area (in sq. units) of POQ is equal to .2022 · Numerical
- Let P be a variable point on the parabola . Then, the locus of the mid-point of the point P and the foot of the perpendicular drawn from the point P to the line y = x is :2021 · MCQ