Home
Class 12
MATHS
A point on the ellipse x^2+3y^2=37 where...

A point on the ellipse `x^2+3y^2=37` where the normal is parallel to the line `6x-5y=2` is `(5,-2)` (b) (5, 2) (c) `(-5,2)` (d) `(-5,-2)`

A

a)(5,-2)

B

b)(5,2)

C

c)(-5,2)

D

d)(-5,-2)

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos
  • Elementary Probability

    A DAS GUPTA|Exercise Exercise|137 Videos
  • Equations, Inequation and Expressions

    A DAS GUPTA|Exercise Exercise|301 Videos

Similar Questions

Explore conceptually related problems

A point on the ellipse,4x^(2)+9y^(2)=36, where the normal is parallel to the line,4x-2y-5=0 is (A) ((8)/(5),-(9)/(5))(B)(-(9)/(5),(8)/(5))(C)((8)/(5),(9)/(5))(D)((9)/(5),(8)/(5))

The points where the normal to the ellipse x^(2)+3y^(2)=37 is parallel to the line 6x-5y=10 is/are

The coordinates of the point on the curve y=6x-x^(2) the tangent at which is parallel to the line y=-4x are (a) (5,5) (b) (5,-5) (c) (-5,5) (d) (-5,-5)

Find points on the curve given by y=x^(3)-6x^(2) + x+3 where the tangents are parallel to the line y=x+5

The equation of normal to the curve x^(2)+y^(2)=5 , where the tangent is parallel to the line 2x-y+1=0 is

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5.

The point on the line 3x-2y=1 which is closest to the origin is (A) (3/13, - 2/13) (B) (5/11, 2/11) (C) (3/5, 2/5) (D) none of these

On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangents are parallel to the line 8x=9y are ((2)/(5),(1)/(5))( b ) (-(2)/(5),(1)/(5))(-(2)/(5),-(1)/(5))( d) ((2)/(5),-(1)/(5))

A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
  1. If e is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(...

    Text Solution

    |

  2. Find the eccentric angle of a point on the ellipse x^2 + 3y^2 = 6 at a...

    Text Solution

    |

  3. Which of the following is an exterior point of the ellipse 16x^2+9y^2-...

    Text Solution

    |

  4. The line 3x+5y=k touches the ellipse 16x^(2)+25y^(2)=400 ,if k is

    Text Solution

    |

  5. Find the equaiton of the tangents to the hyperbola x^2 - 2y^2 = 18 whi...

    Text Solution

    |

  6. A point on the ellipse x^2+3y^2=37 where the normal is parallel to the...

    Text Solution

    |

  7. if the ordinate of the point of contact be 2 then the equation of the ...

    Text Solution

    |

  8. A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts o...

    Text Solution

    |

  9. If the tangent to the ellipse x^2 +4y^2=16 at the point 0 sanormal to ...

    Text Solution

    |

  10. An ellipse having foci (3,1) and (1, 1) passes through the point (1, 3...

    Text Solution

    |

  11. If P & Q are the ends of a pair of conjugate diameters & C is the cent...

    Text Solution

    |

  12. If any point on a hyperbola is (3 tantheta, 2sectheta) then eccentrici...

    Text Solution

    |

  13. If the normal to the rectangular hyperbola xy = c^2 at the point 't' m...

    Text Solution

    |

  14. Equation (2 + lambda)x^2-2 lambdaxy+(lambda -1)y^2-4x-2=0 represents a...

    Text Solution

    |

  15. Find the locus of the middle points of the normals chords of the recta...

    Text Solution

    |

  16. The line y=m x-((a^2-b^2)m)/(sqrt(a^2+b^2m^2)) is normal to the ellise...

    Text Solution

    |

  17. A rectangular hyperbola whose centre is C is cut by any circle of radi...

    Text Solution

    |

  18. A normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

    Text Solution

    |

  19. Let P be a point such that the sum of the slopes of normals drawn from...

    Text Solution

    |

  20. Let ABC be an equilateral triangle inscribed in the circle x^2+y^2=a^...

    Text Solution

    |