Home
Class 11
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)`

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

Find the co-ordinates for the points on the ellipse x^2+3y^2=37 at which the normal is parallel to the line 6x-5y=2.

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

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

Is the line 3x + 2y = 5 parallel to the line x + 2y = 1 ?

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

The equation of the tangents to the ellipse 4x^(2)+3y^(2)=5 , which are parallel to the line y=3x+7 are

The equation of the tangents to the ellipse 4x^(2)+3y^(2)=5 , which are parallel to the line y=3x+7 are

Find the equation of tangent of the curve y^(2) = 4x+5 which is parallel to the line 2x-y=5 .

Equation of the tangents to the ellipse x^2/9 + y^2/16 = 1 which are parallel to the line x+y+1=0 are (A) x+y+5=0 (B) x+y-5=0 (C) x+y+6=0 (D) x+y-6=0

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  4. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

    Text Solution

    |

  5. If a pair of variable straight lines x^2 + 4y^2+alpha xy =0 (where alp...

    Text Solution

    |

  6. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

    Text Solution

    |

  7. The equation 3x^2+4y^2-18+16 y+43=k represents an empty set, if k<0 ...

    Text Solution

    |

  8. Which of the following is/are true about the ellipse x^2+4y^2-2x-16 y+...

    Text Solution

    |

  9. If a ray of light incident along the line 3x+(5-4sqrt(2))y=15 gets ref...

    Text Solution

    |

  10. If the sum of the slopes of the normal from a point P to the hyperbol...

    Text Solution

    |

  11. If the tangent at the point P(theta) to the ellipse 16 x^2+11 y^2=256 ...

    Text Solution

    |

  12. If the normal to the given hyperbola at the point (c t , c/t) meets th...

    Text Solution

    |

  13. If the equation of the ellipse is 3x^2+2y^2+6x-8y+5=0 , then which o...

    Text Solution

    |

  14. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

    Text Solution

    |

  15. If the chord through the points whose eccentric angles are theta and v...

    Text Solution

    |

  16. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from w...

    Text Solution

    |

  17. The coordinates (2, 3) and (1, 5) are the foci of an ellipse which ...

    Text Solution

    |

  18. If tangents P Qa n dP R are drawn from a variable point P to thehyperb...

    Text Solution

    |

  19. If the variable line y=k x+2h is tangent to an ellipse 2x^2+3y^2=6, th...

    Text Solution

    |

  20. The locus of a point, from where the tangents to the rectangular hyp...

    Text Solution

    |