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

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

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 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 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 .

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

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

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.

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. A straight line is drawn through the point P(2,3) and is inclined at a...

    Text Solution

    |

  2. A line of fixed length 2 units moves so that its ends are on the pos...

    Text Solution

    |

  3. The perpendicular from the origin to a line meets it at the point (2...

    Text Solution

    |

  4. The line x/3 +y/4=1 meets y-and x-axis at A and B, respectively. A squ...

    Text Solution

    |

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

    Text Solution

    |

  6. The centroid of an equilateral triangle is (0, 0). If two vertices of ...

    Text Solution

    |

  7. Two fixed point A and B are taken on the cordinate axes such that OA =...

    Text Solution

    |

  8. Find the equations of the lines, which cut-off intercepts on the axes ...

    Text Solution

    |

  9. Find the equation of the straight line which passes through the origin...

    Text Solution

    |

  10. The equation of a straight line passing through the point (2, 3) and ...

    Text Solution

    |

  11. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

    Text Solution

    |

  12. The equation of the lines on which the perpendicular from the origin m...

    Text Solution

    |

  13. Line L has intercepts a and b on the coordinate axes. When the axes ar...

    Text Solution

    |

  14. A line intersects the straight lines 5x-y-4=0 and 3x-4y-4=0 at A and B...

    Text Solution

    |

  15. A line L is a drawn from P(4,3) to meet the lines L-1a n dL2 given by ...

    Text Solution

    |

  16. A straight line through the point A (3,4) is such that its intercept b...

    Text Solution

    |

  17. Two straight line u=0 and v=0 pass through the origin and the angle be...

    Text Solution

    |

  18. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

    Text Solution

    |

  19. Let u=a x+b y+a ^3sqrt(b)=0,v=b x-a y+b^3sqrt(a)=0,a ,b in R , be two...

    Text Solution

    |

  20. If the foot of the perpendicular from the origin to a straight line is...

    Text Solution

    |