Question:

The parabola having its focus at (3,2)(3, 2) and directrix along the yy-axis has its vertex at

Updated On: Jan 30, 2025
  • (2, 2)
  • (32,2)\left(\frac{3}{2} , 2 \right)
  • (12,2)\left(\frac{1}{2} , 2 \right)
  • (23,2)\left(\frac{2}{3} , 2 \right)
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

Vertex of the parabola is a point which lies on the axis of the parabola, which is a line \bot to the directrix through the focus, i.e., y=2y = 2 and equidistant from the focus and directrix x=0x = 0, so that the vertex is (32,2)\left(\frac{3}{2} , 2\right) .
Was this answer helpful?
1
0

Questions Asked in BITSAT exam

View More Questions

Concepts Used:

Applications of Integrals

There are distinct applications of integrals, out of which some are as follows:

In Maths

Integrals are used to find:

  • The center of mass (centroid) of an area having curved sides
  • The area between two curves and the area under a curve
  • The curve's average value

In Physics

Integrals are used to find:

  • Centre of gravity
  • Mass and momentum of inertia of vehicles, satellites, and a tower
  • The center of mass
  • The velocity and the trajectory of a satellite at the time of placing it in orbit
  • Thrust