Home
Class 12
MATHS
Find the points on the parabola y^2-2y-4...

Find the points on the parabola `y^2-2y-4x=0` whose focal length is 6.

Text Solution

AI Generated Solution

To find the points on the parabola \( y^2 - 2y - 4x = 0 \) whose focal length is 6, we will follow these steps: ### Step 1: Rewrite the parabola in standard form We start with the equation of the parabola: \[ y^2 - 2y - 4x = 0 \] We can rearrange this equation by completing the square for the \( y \) terms. ...
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.18|1 Videos

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.19|1 Videos

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.16|1 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 coordinates of points on the parabola y^2=8x whose focal distance is 4.

Find the coordinates of points on the parabola y^2=8x whose focal distance is 4.

Find the coordinates of points on the parabola y^2=8x whose focal distance is 4.

Find the coordinates of the points on the parabola y^(2) = 4x whose focal distance is 5

Find the coordinates of the point on the parabola y^(2)=8x whose focal distance is 8.

The coordinates of a point on the parabola y^2 =8x whose focal distance is 4, is

The coordinates of a point on the parabola y^(2)= 16x whose focal distance is 5 are

Find the co-ordinates of the points lying on parabola y^(2)=16x whose focal distance is 8.

The focal distance of a point on the parabola y^(2)=8x whose focal distance is 10.Its coordinates are

Find the co-ordinates of the points lying on parabola x^(2)=12y whose focal distance is 15.