Home
Class 11
MATHS
Find the coordinates of points on the pa...

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

Text Solution

AI Generated Solution

To find the coordinates of points on the parabola \( y^2 = 8x \) whose focal distance is \( 4 \), we can follow these steps: ### Step 1: Identify the parameters of the parabola The given equation of the parabola is \( y^2 = 8x \). We can compare this with the standard form of a parabola \( y^2 = 4ax \). From the equation \( y^2 = 8x \), we can see that: \[ 4a = 8 \implies a = 2 ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT EXEMPLAR ENGLISH|Exercise Long answer|10 Videos
  • CONIC SECTIONS

    NCERT EXEMPLAR ENGLISH|Exercise True/False|8 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|16 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR ENGLISH|Exercise Fillers|16 Videos

Similar Questions

Explore conceptually related problems

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

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

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.

Find the coordinates of a point the parabola y^(2)=8x whose distance from the focus is 10.

Find the coordinates of a point the parabola y^(2)=8x whose distance from the focus is 10.

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

The coordinates of the parabola y^(2)=2x whose focal distance is 5/2 are

Find the coordinates of vertex of the parabola y^(2)=4(x+y)