Home
Class 11
MATHS
The axis of parabola is along the line y...

The axis of parabola is along the line y=x and the distance of its vertex and focus from origin are `sqrt2` and 2`sqrt2` respectively. If vertex and focus both lie in the first quadrant, then find the equation of the parabola

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the vertex and focus of a parabola are (1,2) and (-1,2) respectively : find its equation.

Find the focus of the parabola y=x^2+x+1 .

Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it?

The vertex of a parabola is at the origin and its focus is (0,-(5)/(4)) , find the equation of the parabola.

Find the equation of the parabola whose coordinates of vertex and focus are (-2,3) and (1, 3) respectively .

Find the vertex of the parabola x^2=2(2x+y) .

If the coordinates of vertex and focus of a parabola be (2,1) & (2,3) respectively, then the axis of the parabola will be

Find the eqution of the parabola whose coordinates of vertex and focus are (0 , 0) and ((3)/(2),0) respectively .

The equation of the directrix of a parabola is x = y and the coordinates of its focus ar (4,0) . Find the equation of the parabola.

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

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. P ,Q , and R are the feet of the normals drawn to a parabola (y-3)^2=8...

    Text Solution

    |

  2. The equation of the line that passes through (10 ,-1) and is perpendic...

    Text Solution

    |

  3. The axis of parabola is along the line y=x and the distance of its ver...

    Text Solution

    |

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

    Text Solution

    |

  5. If the normals at P(t(1))andQ(t(2)) on the parabola meet on the same p...

    Text Solution

    |

  6. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  7. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

  8. Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...

    Text Solution

    |

  9. PQ is a normal chord of the parabola y^2 =4ax at P, A being t...

    Text Solution

    |

  10. If two normals to a parabola y^2 = 4ax intersect at right angles then ...

    Text Solution

    |

  11. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

  12. If a leaf of a book is folded so that one corner moves along an opp...

    Text Solution

    |

  13. A parabola of latus-rectum 1 touches a fixed equal parabola. The axe...

    Text Solution

    |

  14. A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then ...

    Text Solution

    |

  15. Let N be the foot of perpendicular to the x-axis from point P on the p...

    Text Solution

    |

  16. Two lines are drawn at right angles, one being a tangent to y^(2)=4ax ...

    Text Solution

    |

  17. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

    Text Solution

    |

  18. Find the range of parameter a for which a unique circle will pass thro...

    Text Solution

    |

  19. Find the radius of the largest circle, which passes through the focus ...

    Text Solution

    |

  20. A tangent is drawn to the parabola y^(2)=4ax at P such that it cuts th...

    Text Solution

    |