Home
Class 11
MATHS
Find the equation of the parabola whose ...

Find the equation of the parabola whose focus is at (-1,-2) and the directrix the line `x-2y+3=0`

Text Solution

AI Generated Solution

To find the equation of the parabola with the given focus and directrix, we can follow these steps: ### Step 1: Identify the focus and the directrix The focus of the parabola is given as \( F(-1, -2) \) and the directrix is given by the line \( x - 2y + 3 = 0 \). ### Step 2: Write the equation of the directrix in slope-intercept form To make calculations easier, we can rewrite the directrix in slope-intercept form: \[ ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT EXEMPLAR ENGLISH|Exercise Objective type|13 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 equation of the parabola whose focus is (-3,2) and the directrix is x+y=4.

Find the equation of the parabola whose: focus is (0,0) and the directrix 2x-y-1=0

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

Find the equation of the parabola whose: focus is (3,0) and the directrix is 3x+4y=1.

Find the equation of the parabola whose focus is (5,3) and directrix is the line 3x-4y+1=0.

Find the equation of the parabola whose focus is (-1, 2) and directrix is x-2y-15=0 .

Find the equaiton of the parabola whose focus is (0, -2) and directrix is y=2 .

The equation of the parabola whose focus is (1, 1) and the directrix is x+y+1=0

Find the equation to the parabola whose focus is (-2,1) and directrix is 6x-3y=8 .

Find the equaiton of the parabola whose focus is (0, -3) and directrix is y=3 .