Home
Class 12
MATHS
Consider a parabola x^2-4xy+4y^2-32x+4y+...

Consider a parabola `x^2-4xy+4y^2-32x+4y+16=0`.
The focus of the parabola (P) is

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise PARABOLA EXERCISE 5|2 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|14 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The focus of the parabola y^2= 4ax is :

The focus of the parabola x^2-8x+2y+7=0 is

Find the focus of the parabola x^2=4y

The vertex of the parabola y^2=4a(x+a) is:

A parabola is drawn with focus at (3,4) and vertex at the focus of the parabola y^2-12x-4y+4=0 . The equation of the parabola is

Let V be the vertex and L be the latusrectum of the parabola x^2=2y+4x-4 . Then the equation of the parabola whose vertex is at V. Latusrectum L//2 and axis s perpendicular to the axis of the given parabola.

What is the focus of the parabola x^2+y^2+2xy−6x−2y+3=0 .

Statement I the equation of the common tangent to the parabolas y^2=4x and x^2=4y is x+y+1=0 . Statement II Both the parabolas are reflected to each other about the line y=x .

The set of points on the axis of the parabola y^2-4x-2y+5=0 from which all the three normals to the parabola are real , is

ARIHANT MATHS-PARABOLA-Exercise (Passage Based Questions)
  1. Let C be the locus of the circumcentre of a variable traingle having s...

    Text Solution

    |

  2. Find dy/dx if y^2=4lamdax

    Text Solution

    |

  3. The locus of the circumcenter of a variable triangle having sides the ...

    Text Solution

    |

  4. The focus of the parabola x^2-8x+2y+7=0 is

    Text Solution

    |

  5. The focus of the parabola x^2-8x+2y+7=0 is

    Text Solution

    |

  6. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

    Text Solution

    |

  7. If l and m are variable real numbers such that 5l^2-4lm+6m^2+3l=0, the...

    Text Solution

    |

  8. If l and m are variable real numbers such that 5l^2-4lm+6m^2+3l=0, the...

    Text Solution

    |

  9. Find the slope of tangent to the curve if equation of the curve is y^2...

    Text Solution

    |

  10. Find the slope of normal to the curve if equation of the curve is y^2=...

    Text Solution

    |

  11. Find dy/dx if y^2=10x

    Text Solution

    |

  12. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

    Text Solution

    |

  13. Tangent to the parabola y=x^2+ax+1 at the point of intersection of the...

    Text Solution

    |

  14. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

    Text Solution

    |

  15. Find the slope of tangent to the curve if equation of the curve is x^2...

    Text Solution

    |

  16. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

    Text Solution

    |

  17. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

    Text Solution

    |

  18. y=3x is tangent to the parabola 2y=ax^2+b. The minimum value of a+b i...

    Text Solution

    |

  19. y=3x is tangent to the parabola 2y=ax^2+b. If (2,6) is the point of ...

    Text Solution

    |

  20. y=3x is tangent to the parabola 2y=ax^2+ab. If b=36,then the point o...

    Text Solution

    |