Home
Class 12
MATHS
Find the equation of the parabola having...

Find the equation of the parabola having focus (1, 1) and vertex at `(-3,-3)dot`

Text Solution

AI Generated Solution

To find the equation of the parabola with a focus at (1, 1) and a vertex at (-3, -3), we can follow these steps: ### Step 1: Identify the Vertex and Focus - The vertex \( V \) of the parabola is given as \( (-3, -3) \). - The focus \( F \) of the parabola is given as \( (1, 1) \). ### Step 2: Determine the Orientation of the Parabola - The vertex and focus are not aligned vertically or horizontally. We need to find the slope of the line connecting the vertex and focus to determine the orientation. ...
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.28|1 Videos
  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.29|1 Videos
  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.26|2 Videos
  • PAIR OF STRAIGHT LINES

    CENGAGE ENGLISH|Exercise Numberical Value Type|5 Videos
  • PERMUTATION AND COMBINATION

    CENGAGE ENGLISH|Exercise Comprehension|8 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the parabola whose focus is (4,-3) and vertex is (4,-1).

Find the equation of parabola with Focus (0,-6) and vertex (0,0)

Find the equation of the parabola whose focus is S (3,5) and vertex is A(1,3).

Find the equation of the parabola whose focus is (3, 0) and vertex is (0, 0) .

Find the equation of the parabola whose focus is S (1,-7) and vertex is A(1,-2).

Find the equation of the parabola whose focus is at (0, 0) and vertex is at the intersection of the line x+y=1 and x-y=3 .

Find the equation of the parabola whose focus is (1,-1) and whose vertex is (2,1) . Also find the axis and latusrectum.

Find the equation of a parabola having focus at (0,-3) and directrix y=3 .

Find the equation of the parabola having focus at(-1,-2) and directrix is x – 2y+3=0.

Find the equation of the parabola whose focus is (0,0) and the vertex is the point of intersection of the lines x+y=1 and x - y = 3.