Home
Class 12
MATHS
A circle of radius 2 unit passes through...

A circle of radius 2 unit passes through the vertex and the focus of the parabola `y^2=2x` and touches the parabola `y =(x-1/4)^2+alpha` where `alpha gt 0`. Then `(4alpha-8)^2` is equal to _______

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|20 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|11 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

If a circle drawn with radius 1 unit and whose centre is the focus of the parabola y^(2)=4x touches the parabola at

Find the vertex and focus of the given parabola x^(2)+4y=0

The focus of the parabola y^(2)-4y-8x+4=0 is,

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

Radius of the largest circle passing through the focus of the parabola y^2 = 4x and lying inside the parabola is…

If the circle x^(2)+y^(2)+2ax=0, a in R touches the parabola y^(2)=4x , them

JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics-Section B
  1. If the sum of the first ten terms of the series 1/5 +2/65 +3/325 +...

    Text Solution

    |

  2. A rectangle R with end points of one of its sides as (1, 2) and (3,6) ...

    Text Solution

    |

  3. A circle of radius 2 unit passes through the vertex and the focus of t...

    Text Solution

    |

  4. Let the mirror image of the point (a, b, c) with respect to the plane ...

    Text Solution

    |

  5. Let A=((2,-2),(1,-1))andB=((-1,2),(-1,2)) Then the number of elements...

    Text Solution

    |

  6. Let f (x)= [2x^2 +1] and g(x)={:{(2x-3,xlt0),(2x+3,xge0):} where [t] ...

    Text Solution

    |

  7. 12int3^b 1/((x^2-1)(x^2-4))=loge(49/40) then find value of b where b g...

    Text Solution

    |

  8. If the sum of the co-efficients of all the positive even powers of x i...

    Text Solution

    |

  9. If mean deviation about mean is (5(n+1))/n of data 1,2,3,4....n wher...

    Text Solution

    |

  10. Let vecb = hati +hatj + lamda hatk , lamda in RR . If veca is a vecto...

    Text Solution

    |

  11. The total number of three-digit numbers, with one digit repeated exact...

    Text Solution

    |

  12. Let f(x) = |(x - 1)(x^2 – 2x – 3)|+x-3,x in R. Ifm and M are respectiv...

    Text Solution

    |

  13. Hyperbola x^2/a^2-y^2/b^2=2 has eccentricity 5/4. If normal to the hyp...

    Text Solution

    |

  14. Let l1 be the line in xy-plane with x and y intercepts 1/8 and 1/(4s...

    Text Solution

    |

  15. If relation defined on set A= {1,2,3, . . .,50} , and relation R1 {(p,...

    Text Solution

    |

  16. The number of real solutions of the equation e^(4x)+4e^(3x)-58e^(2x)+4...

    Text Solution

    |

  17. The mean and standard deviation of 15 - observations are found to be 8...

    Text Solution

    |

  18. veca=2hati+hatj+3hatk , vecb=3hati+3hatj+hatk & vecc=c1hati+c2hatk+c3h...

    Text Solution

    |

  19. A ray of light passing tb.rough the point P (2, 3) reflects on the x-a...

    Text Solution

    |

  20. Let l be a line which is normal to the curve y = 2x^2 + x + 2 at a poi...

    Text Solution

    |