Home
Class 11
MATHS
If a parabolic reflector is 20 cm in dia...

If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.

Text Solution

AI Generated Solution

To find the focus of the parabolic reflector given its dimensions, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Geometry of the Parabola**: - The reflector is a parabola that opens sideways. The standard equation of such a parabola is \( y^2 = 4ax \), where \( a \) is the distance from the vertex to the focus. 2. **Identify the Dimensions**: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT|Exercise EXERCISE 11.1|15 Videos
  • CONIC SECTIONS

    NCERT|Exercise EXERCISE 11.2|12 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT|Exercise EXERCISE 5.4|6 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise EXERCISE 12.1|4 Videos

Similar Questions

Explore conceptually related problems

If a parabolic reflector is 20cm in diameter and 5cm deep,find its focus.

If the parabolic reflector is 20cm in diameter and 5cm deep find it's focus.

(i) If a parabola reflector is 20cm in diameter and 5cm deep.Find its focus.(ii) An arc is in the form of a parabola with its axis vertical. The arc is 10m high and 5m wide at the base. How wide is it 2m from the vertex of the parabola.

A parabolic reflector is 9 cm deep and its diameter is 24 cm. How far is its focus from the vertex?

A parabola reflector is 9 cm deep and its diameter is 24 cm. Find the distance of its focus from vertex.

The focus of a parabolic reflector is at a distance of 5 cm from the vertex. IF the reflector is 45 cm deep, find the diameter of reflector.

A parabola reflector is 15 cm deep and its focus is at a distance of 5 cm from its vertex. Find the diameter of the reflector.

The focus of a parabolic mirror is at a distance of 5 cm from its vertex and the mirror is 15 cm deep.Find the diameter of the mirror.

The curved surface area of a cylinder is 1210 cm^(2) and its diameter is 20 cm. Find its height and volume

The focus of a parabolic mirror is at a distance of 6 cm from its vertex. If the mirror is 20 cm deep, find its diameter.