Home
Class 11
MATHS
Let us consider an ellipse whose major a...

Let us consider an ellipse whose major and minor axis are `3x+4y-7=0` and `4x-3y-1=0` respectively. P be a variable point on the ellipse at any instance, it is given that distance of P from major and minor axis are 4 and 5 respectively. It is also given that maximum distance P from minor axis is `5sqrt(2)` , then its eccentricity is `3/5` (b) `3/(sqrt(3)4)` (c) `4/5` (d) None of these

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    RESONANCE DPP|Exercise All Questions|43 Videos

  • JEE MAINS

    RESONANCE DPP|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the ellipse the ends of whose major and minor axes are (pm 4, 0) and (0, pm 3) respectively.

The distance of P(3, 4) from the x-axis is

Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sqrt3 , then eccentricity of ellipse is

The ellipse (x^(2))/(25)+(y^(2))/(16)=1 with the major and minor axis in M and m respectively is

Distance of Point P(–3, 4) from y-axis is 3 units.

The major and minor axes of an ellipse are along x,y axis respectively. If its latusrectum is of length 4 and the distance between the foci is 4sqrt(2) then the equation of that ellipse

A point on the ellipse x^(2)/16 + y^(2)/9 = 1 at a distance equal to the mean of lengths of the semi - major and semi-minor axis from the centre, is

The equation of the ellipse with its axes as the coordinate axes respectively and whose major axis =6 and minor axis =4 is

Consider the ellipse whose major and minor axes are x-axis and y-axis,respectively.If phi is the angle between the CP and the normal at point P on the ellipse,and the greatest value tan phi is (3)/(4) (where C is the centre of the ellipse).Also semi-major axis is 10 units.The eccentricity of the ellipse is

RESONANCE DPP-CONIC SECTIONS-All Questions
  1. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

    Text Solution

    |

  2. The tangent at the point P on the rectangular hyperbola x y=k^2 with ...

    Text Solution

    |

  3. If L1&L2 are the lengths of the segments of any focal chord of th...

    Text Solution

    |

  4. If y=2x+3 is a tangent to the parabola y^2=24 x , then is distance fro...

    Text Solution

    |

  5. For hyperbola x^2sec^2alpha-ycos e c^2alpha=1, which of the following ...

    Text Solution

    |

  6. Number of normals drawn from the point (-2,2) to the parabola y^2-2y-2...

    Text Solution

    |

  7. If the line 2x-2y+lambda=0 is a secant to the parabola x^2=-8y , the...

    Text Solution

    |

  8. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

    Text Solution

    |

  9. A rhombus is formed by two radii and two chords of a circle whose r...

    Text Solution

    |

  10. A point on a parabola y^2=4a x , the foot of the perpendicular from it...

    Text Solution

    |

  11. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |

  12. The focal chord to y^2=16x is tangent to (x-6)^2+y^2=2 , then the po...

    Text Solution

    |

  13. Locus of the point of intersection of the perpendicular tangents of th...

    Text Solution

    |

  14. Through the vertex ' O^(prime) of the parabola y^2=4a x , variable c...

    Text Solution

    |

  15. The locus of the midpoint of the line segment joining the focus to a ...

    Text Solution

    |

  16. The equation to the chord joining two points (x1,y1) and (x2,y2) on th...

    Text Solution

    |

  17. The locus of the point of intersection of the tangents at the extre...

    Text Solution

    |

  18. Let us consider an ellipse whose major and minor axis are 3x+4y-7=0 an...

    Text Solution

    |

  19. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  20. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

    Text Solution

    |