Home
Class 12
MATHS
Find the equation of the tangent, perpen...

Find the equation of the tangent, perpendicular to the line `x+2y=0`, to the hyperbola `7x^(2)-4y^(2)=28` and find the coordinates of the point of contact.

Text Solution

Verified by Experts

The correct Answer is:
`2x-y=3` point of contanct `((8)/(3),(7)/(3)) and 2x-y+3=0` point, of contanct `(-(8)/(3),-(7)/(3))`
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise A MULTIPLE CORRECT ANSWER TYPE|5 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise INTEGER ANSWER TYPE|5 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|42 Videos
  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos
  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If the line 2x+sqrt(6)y=2 is a tangent to the hyperbola x^(2)-2y^(2)=4 , then the coordinates of the point of contact are -

Find the eqauations of the tangent to the ellipse 4x^(2)+9y^(2)=36 at the point (x_(1),y_(1)) , hence find the coordinates of the points on this ellipse at which the tangents are parallel to the line 2x-3y=6

Find the equation of a line perpendicular to the line x - 2y + 3 = 0 and passing through the point (1, -2) .

Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0 from the point (1,\ 2) .

Find the equation of the straight line perpendicular to 2x+3y+5=0 and passing through the point (2,-3).

If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of contact is

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x0, y0).

Find the equation of the tangent and the normal at the point (0, -1) to the curve 5x^2+3y^2+2x+4y+1=0

Find the equation of a straight line perpendicular to the line 2x + 5y + 7 = 0 and with y-intercept – 3 units.

Find the euation of the normal to the parabola y^(2)=3x which is perpendicular to the line y=2x+4. also find the coordinates of the foot of the normal.

CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
  1. Find the equation of the tangent to the parabola y^(2)=8x at the point...

    Text Solution

    |

  2. Find the equations of the tangents ot the ellipse x^(2)+3y^(2)=4 which...

    Text Solution

    |

  3. Find the equation of the tangent, perpendicular to the line x+2y=0, to...

    Text Solution

    |

  4. If the straight line lx+my+n=0 touches the : circle x^(2)+y^(2)=a^(...

    Text Solution

    |

  5. If the straight line lx+my+n=0 touches the : circle x^(2)+y^(2)+2ag...

    Text Solution

    |

  6. If the straight line lx+my+n=0 touches the : parabola y^(2)=4ax, pr...

    Text Solution

    |

  7. Find the condition that the straight line lx+my=n touches the ellipse ...

    Text Solution

    |

  8. If the straight line lx+my+n=0 touches the : hyperbola (x^(2))/(a^(2...

    Text Solution

    |

  9. If the straight line y= x sin alpha+ a sec alpha be a tangent ot the c...

    Text Solution

    |

  10. Find the condition that the straight line x cos theta+ y sin theta =p ...

    Text Solution

    |

  11. Find the condition that the straight line x cos alpha+ y sin alpha=p i...

    Text Solution

    |

  12. hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1.

    Text Solution

    |

  13. If the straight line lx+my=1 touches th curve (ax)^(n)+(by)^(n)=1. The...

    Text Solution

    |

  14. If the straigjht line x cos alpha+ y sin alpha=p touches the curve x^(...

    Text Solution

    |

  15. Show that the tangents at the ends of latus rectum of an ellipse inter...

    Text Solution

    |

  16. Find the equation of the common tangent to the circle x^(2)+y^(2)=8 an...

    Text Solution

    |

  17. Find the equation o of the common tangent to the parabolas y^(2)=32x ...

    Text Solution

    |

  18. Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circl...

    Text Solution

    |

  19. The equation of the tangent to the curve y^(2)=ax^(3)+b at the point (...

    Text Solution

    |

  20. In each of the following cases find the angle between the given curves...

    Text Solution

    |