Home
Class 12
MATHS
The parabolic mirrors that are used for ...

The parabolic mirrors that are used for solar energy has the equation `y=(1)/(36)x^(2)`. There is a heating tube located at the focus of each parabola. How high is this tube located above the vertex of the parabola.

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.1|14 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.2|28 Videos

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

Similar Questions

Explore conceptually related problems

The equation y=(1)/(32)x^(2) models cross sections of parabolic mirrors that are used for solar energy. There is a heating tube located at the focus of each parabola, how high is this tube located above the vertex of the parabola ?

The vertex of the parabola x^(2)=8y-1 is :

Find the equation of parabola whose focus is (0,1) and the directrix is x+2=0. Also find the vertex of the parabola.

Length of the focal chord of the parabola (y +3)^(2) = -8(x-1) which lies at a distance 2 units from the vertex of the parabola is

Find the coordinates of the focus , axis, the equation of the directrix and latus rectum of the parabola y^(2)=8x .

An equation of the elliptical part of an optical lens system is (x^(2))/(16)+(y^(2))/(9)=1 . The parabolic part of the system has a focus in common with the right focus of the ellipse. The vertex of the parabola is at the origin and the parabola opens to the right. determine the equation of the parabola

Show that the locus of a point that divides a chord of slope 2 of the parabola y^2=4x internally in the ratio 1:2 is parabola. Find the vertex of this parabola.

An equation of the elliptical part of an optical lens system is (x^(2))/(25)+(y^(2))/(9)=1 . The parabolic part of the system has a focus in common with right focus of the ellipse. The vertex of the parabola is at the orgin and the prabola opens to the right. Find the equation of the parabola.

PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -PROBLEMS FOR PRACTICE
  1. The parabolic mirrors that are used for solar energy has the equation ...

    Text Solution

    |

  2. The point of intersection of the tangent at 't(1)' and 't(2)' to the ...

    Text Solution

    |

  3. The latus rectum of the parabola y^(2)-4x+4y+8=0 is:

    Text Solution

    |

  4. The point of contact of the tangent 2x+3y+9=0 to the parabola y^(2)=8x...

    Text Solution

    |

  5. The eccentricity of the ellipse 9x^(2)+5y^(2)-54x-40y+116=0 is:

    Text Solution

    |

  6. The area of the directrix circle of the ellipse (x^(2))/(16)+(y^(2))/(...

    Text Solution

    |

  7. If the length of the latus rectum is half the length of the conjucate ...

    Text Solution

    |

  8. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  9. The equation of the tangent to the parabola y^(2)=16x inclined at 60^(...

    Text Solution

    |

  10. The equation of conic with focus (-2,1) and directrix 3x-y+2=0 is:

    Text Solution

    |

  11. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 has the points A and B a...

    Text Solution

    |

  12. The point of contact of the line 2x-y+2=0 with the parabola y^(2)=16x ...

    Text Solution

    |

  13. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

    Text Solution

    |

  14. If 4x+y+k=0 is a tangent to the ellipse x^(2)+3y^(2)=3 then k = ?

    Text Solution

    |

  15. The tangent to the hyperbola 3x^(2)-y^(2)=3 parallel to 2x-y+4=0 is:

    Text Solution

    |

  16. The eccentricity of the ellipse for which the distance between the dir...

    Text Solution

    |

  17. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

    Text Solution

    |

  18. In are ellispe , the distance between its foci is 6 and its minor axi...

    Text Solution

    |

  19. The tangents at the points t(1) and t(2) on the parabola y^(2)=4ax are...

    Text Solution

    |

  20. The equation of normal at (-3,4) to the circle x^(2)+y^(2)=25 is 4x+3y...

    Text Solution

    |

  21. The equation of the ellipse with foci (pm2,0) vertices (pm3,0) is:

    Text Solution

    |