Home
Class 11
MATHS
C is the centre of the circle with centr...

C is the centre of the circle with centre `(0,1)` and radius unity. `y=ax^2` is a parabola. The set of the values of `'a'` for which they meet at a point other than the origin, is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Circle with centre (-1,2) and passing through origin is

The centres of the circles are (a, c) and (b, c) and their radical axis is y-axis. The radius of one of the circles is r. The radius of the other circle is

The locus of the centre of the circle described on any focal chord of the parabola y^(2)=4ax as the diameter is

The centre of a circle is (2x-1, 3x++1) and radius is 10 units. Find the value of x if the circle passes through the point (-3, -1) .

Equation of the circle with centre on the y-axis and passing through the origin and (2, 3) is

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to (1) (sqrt(3))/(sqrt(2)) (2) (sqrt(3))/2 (3) 1/2 (3) 1/4

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to (1) (sqrt(3))/(sqrt(2)) (2) (sqrt(3))/2 (3) 1/2 (3) 1/4

If x+3y=0 is a tangent to the circle with centre at (-1,2) then show that the other tangent to the circle from the origin is 3x-y=0

Circle will centre origin and passing through (-1,2) is

Find the centre and radius of the circles : x^2 + y^2 - ax - by = 0

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Statement 1: There are no common tangents between the circle x^2+y^2...

    Text Solution

    |

  2. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  3. C is the centre of the circle with centre (0,1) and radius unity. y=ax...

    Text Solution

    |

  4. The set of points on the axis of the parabola (x-1)^2=8(y+2) from wher...

    Text Solution

    |

  5. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  6. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  7. The endpoints of two normal chords of a parabola are concyclic. Then ...

    Text Solution

    |

  8. From the point (15, 12), three normals are drawn to the parabola y^2=4...

    Text Solution

    |

  9. t 1 and  t 2 are two points on the parabola y^...

    Text Solution

    |

  10. Tangent and normal are drawn at the point P-=(16 ,16) of the parabola ...

    Text Solution

    |

  11. Length of the shortest normal chord of the parabola y^2=4ax is

    Text Solution

    |

  12. The line x-y-1=0 meets the parabola y^2 = 4x at A and B. Normals at ...

    Text Solution

    |

  13. If normal are drawn from a point P(h , k) to the parabola y^2=4a x , t...

    Text Solution

    |

  14. If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  15. An equilateral triangle S A B is inscribed in the parabola y^2=4a x ...

    Text Solution

    |

  16. min[(x1-x2)^2+(5+sqrt(1-x1^2)-sqrt(4x2))^2],AAx1,x2 in R , is (a)4sqr...

    Text Solution

    |

  17. The equation of the directrix of the parabola y^2+4y+4x+2=0 is (a)x=-1...

    Text Solution

    |

  18. The equation of the common tangent touching the circle (x-3)^2+y^2=9 ...

    Text Solution

    |

  19. At what point on the parabola y^2=4x the normal makes equal angle with...

    Text Solution

    |

  20. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

    Text Solution

    |