Home
Class 11
MATHS
The perpendicular from the origin to a l...

The perpendicular from the origin to a line meets it at the point `(-2, 9)` find the equation of the line.

Text Solution

Verified by Experts

The correct Answer is:
`2x - 9y + 85 = 0 `
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT BANGLISH|Exercise EXERCISE 10.3|18 Videos
  • STRAIGHT LINES

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 10|24 Videos
  • STRAIGHT LINES

    NCERT BANGLISH|Exercise EXERCISE 10.1|14 Videos
  • STATISTICS

    NCERT BANGLISH|Exercise Miscellaneous Exercise On Chapter 15|7 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXAMPLES|10 Videos

Similar Questions

Explore conceptually related problems

If the foot of perpendicular from the origin to a straight line is at the point (3,-4),then the equation of the line is ___

If the foot of the perpendicular from the origin to a straight line is at (3,-4) , then find the equation of the line.

The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2) . Find the values of m and c.

The coordinates of the foot of the perpendicular drawn from the origin upon a line are (h,k) , show that the equation of the line is hx+ky=h^(2)+k^(2)(h^(2)+k^(2)ne0) .

The length of the perpendicular from the origin to the plane passing through the points veca and containing the line vecr = vecb + lambda vecc is

The variable coefficients a, b in the equation of the straight line (x)/(a) + (y)/(b) = 1 are connected by the relation (1)/(a^(2)) + (1)/(b^(2)) = (1)/(c^(2)) where c is a fixed constant. Show that the locus of the foot of the perpendicular from the origin upon the line is a circle. Find the equation of the circle.

The inclination of a straight line is 150^(@) , if the perpendicular distance of the line from the origin is 10 units , find the equation of the straight line .

Find perpendicular distance from the origin to the line joining the points ( cos theta, sin theta) " and " ( cos phi , sin phi) .

Find the coordinates of the foot of the perpendicular drawn from the point P(1,-2) on the line y = 2x +1. Also, find the image of P in the line.

If p is the length of the perpendicular from the origin on the line whose intercepts on the axes are a and b, then-

NCERT BANGLISH-STRAIGHT LINES-EXERCISE 10.2
  1. Write the equations for the x-and y-axes.

    Text Solution

    |

  2. Find the equation of the line Passing through the point (-4, 3) with ...

    Text Solution

    |

  3. Passing through (0, 0) with slope m.

    Text Solution

    |

  4. Passing through (2, 2 sqrt3) and inclined with the x-axis at an angle ...

    Text Solution

    |

  5. Intersecting the x-axis at a distance of 3 units to the left of origin...

    Text Solution

    |

  6. Intersecting the y-axis at a distance of 2 units above the origin and ...

    Text Solution

    |

  7. Find the equation of the line Passing through the points (-1, 1) " an...

    Text Solution

    |

  8. Find the equation of the line Perpendicular distance from the origin i...

    Text Solution

    |

  9. The vertices of Delta PQR " are " P (2, 1) , Q (-2, 3) " and " R (4, 5...

    Text Solution

    |

  10. Find the equation of the line passing through (-3, 5) and perpendicula...

    Text Solution

    |

  11. A line perpendicular to the line segment joining the points (1, 0) and...

    Text Solution

    |

  12. Find the equation of a line that cuts off equal intercepts on the coor...

    Text Solution

    |

  13. Find equation of the line passing through the point (2, 2) and cutting...

    Text Solution

    |

  14. Find equation of the line through the point(0, 2) making an angle (2pi...

    Text Solution

    |

  15. The perpendicular from the origin to a line meets it at the point (-2,...

    Text Solution

    |

  16. The length L (in centimetre) of a copper rod is a linear function of i...

    Text Solution

    |

  17. The owner of a milk store finds that, he can sell 980 litres of milk e...

    Text Solution

    |

  18. P( h, k) is the mid-point of a line segment between axes. Show that e...

    Text Solution

    |

  19. Point R (h, k) divides a line segment between the axes in the ratio 1:...

    Text Solution

    |

  20. By using the concept of equation of a line, prove that the three point...

    Text Solution

    |