Home
Class 12
MATHS
The radius of circle, touching the parab...

The radius of circle, touching the parabola `y^(2)=8x` at (2, 4) and passing through (0, 4), is

A

1

B

2

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 88

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 90

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn to the parabola y^2=4x at the point P which is the upper end of latusrectum . Radius of the circle touching the parabola y^2=4x at the point P and passing through its focus is

The radius of the circle, which touches the parabola y^2 = 4x at (1,2) and passes through the origin is:

The equation of the circle, which touches the parabola y^2=4x at (1,2) and passes through the origin is :

The radius of a circle passing through origin and touching the parabola y^(2)=8x at (2,4) is r ,then r^(2) is equal to

Equation of a circle which touches the parabola y^(2)-4x+8=0, at (3,2) and passes through its focus is

The equation of circle touching the line 2x+3y+1=0 at the point (1,-1) and passing through the focus of the parabola y^2=4x is

The radius of circle which passes through the focus of parabola x^(2)=4y and touches it at point (6,9) is k sqrt(10), then k=

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

A circle touches the parabola y^(2)=4x at (1,2) and also touches its directrix.The y- coordinates of the point of contact of the circle and the directrix is-

Equation of the smaller circle that touches the circle x^(2)+y^(2)=1 and passes through the point (4,3) is

NTA MOCK TESTS-NTA JEE MOCK TEST 89-MATHEMATICS
  1. Let A(x(1), y(1)), B(x(2), y(2)), C(x(3), y(3)) and D(x(4), y(4)) are ...

    Text Solution

    |

  2. If a, b, c are sides of the triangle ABC and |(1,a, b),(1,c,a),(1,b,c)...

    Text Solution

    |

  3. The radius of circle, touching the parabola y^(2)=8x at (2, 4) and pas...

    Text Solution

    |

  4. Six married couple are sitting in a room. Number of ways in which 4 pe...

    Text Solution

    |

  5. A real value of a, for which the sum of the roots of the equation x^(2...

    Text Solution

    |

  6. Sum of the first hundred numbers common to the arithmetic progression ...

    Text Solution

    |

  7. sin(9pi)/14sin(11pi)/14sin(13pi)/14 is equal to

    Text Solution

    |

  8. The equation of the projection line of the line (x+1)/(2)=(y+1)/(-1)=(...

    Text Solution

    |

  9. If the points A:(0, a), B:(-2,0) and C:(1, 1) form an obtuse angle tri...

    Text Solution

    |

  10. Let A and B are square matrices of order 3 such that AB^(2)=BA and BA^...

    Text Solution

    |

  11. A hyperbola has foci (4, 2), (2, 2) and it passess through P(2, 4). Th...

    Text Solution

    |

  12. If I(n)=intx^(n)e^(6x)dx, then the expression 6I(10)+10I(9) simplifies...

    Text Solution

    |

  13. In an experiment with 10 observations on x the following results are a...

    Text Solution

    |

  14. If the area bounded by the curves x^(2)+y le 2 and y ge x is (k)/(2) s...

    Text Solution

    |

  15. The solution of the differential equation (dx)/(dy)=(x^(2))/(e^(y)-x)(...

    Text Solution

    |

  16. The vlaue of is lim(xrarr(x)/(2))(1^((1)/(cos^(2)x))+2^((1)/(cos^(2)x)...

    Text Solution

    |

  17. A fair coin is tossed repeatedly until two consecutive heads are obtai...

    Text Solution

    |

  18. Let lambda denote the number of terms in the expansion of (1+5x+10x^(2...

    Text Solution

    |

  19. Let Z be a complex number satisfying the relation Z^(3)+(4(barZ)^(2))/...

    Text Solution

    |

  20. If the product of height and square of the radius of the greatest cone...

    Text Solution

    |