Home
Class 11
MATHS
Find the direction in which a straight l...

Find the direction in which a straight line must be drawn through the point (-1, 2) so that its point of intersection with the line x + y = 4 may be at a distance of 3 units from this point.

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos
  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Find the direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the line x+y=4 may be at a distance 1/3 sqrt(6) from this point

Find the equation of the straight line passing through the point (2,3) and through the point of intersection of the lines 2x-3y+7=0 and 7x+4y+2=0

Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 5 units from the point (1,3,3).

Find the equation of the lines passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0.

Find the gradient of a straight line which is passes through the point (-3. 6) and the mid point of (4,-5) and (-2, 9)

Find the equation of straight lines passing through point (2,3) and having intersept of length 2 units between the straight lines 2x+ y = 3, 2x + y = 5

Find the points on the X-axis, which are at a distance of 2 sqrt6 units from the point (1,-2, 3).

Find the point of intersection of the straight lines : 2x + 3y-6 = 0, 3x - 2y-6= 0 .

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. One side of a square is inclined to the x-axis at an angle alpha and o...

    Text Solution

    |

  2. On the portion of the line x + 3y - 3 = 0, which is intercepted betwee...

    Text Solution

    |

  3. Find the direction in which a straight line must be drawn through the ...

    Text Solution

    |

  4. The hypotenuse of a right triangle has its ends at the points (1, 3) a...

    Text Solution

    |

  5. A ray of light passes through the point (1, 2) reflects on the x-axis ...

    Text Solution

    |

  6. A person standing at the junction (crossing) of two straight paths rep...

    Text Solution

    |

  7. Let (2, 1), (- 3, -2) and (a, b) form a triangle. Show that the collec...

    Text Solution

    |

  8. Does the point (-2.5, 3.5) lie inside, outside or on the circle x^2 + ...

    Text Solution

    |

  9. Prove that the centres of the three circles : x^2 + y^2 -4x-6y-14=0, x...

    Text Solution

    |

  10. Prove that, through three given points which are not collinear, there ...

    Text Solution

    |

  11. Find equations to the circles touching Y-axis at (0,3) and making inte...

    Text Solution

    |

  12. Find the area of the equilateral triangle that can be inscribed in the...

    Text Solution

    |

  13. Find the equation of the circle circumscribing the quadrilateral forme...

    Text Solution

    |

  14. If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C1 of diam...

    Text Solution

    |

  15. If the distances from the origin to the centres of the three circles x...

    Text Solution

    |

  16. Determine the equation of the circle whose diameter is the chord x + y...

    Text Solution

    |

  17. A rectangle ABCD is inscribed in a circle with a diameter lying along ...

    Text Solution

    |

  18. Find the equation of the circle, which passes through the origin and c...

    Text Solution

    |

  19. Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola who...

    Text Solution

    |

  20. A double ordinate of the parabola y^2=4ax is of length 8a. Prove that ...

    Text Solution

    |