Home
Class 11
MATHS
The foot of the perpendicular on the lin...

The foot of the perpendicular on the line `3x+y=lambda` drawn from the origin is `Cdot` If the line cuts the `x` and the y-axis at `Aa n dB` , respectively, then `B C: C A` is `1:3` (b) `3:1` (c) `1:9` (d) `9:1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line perpendicular to the line x/a-y/b=1 and passing through a point at which it cuts the x-axis.

Find the equation of the line perpendicular to the line x/a-y/b=1 and passing through a point at which it cuts the x-axis.

The perpendicular drawn from origin to the line y=mx+c meets the line at point (-1,-2) , (c,m)=?

Foot of the perpendicular from a point (x_(1),y_(1)) on the line ax + by + c= 0 is given by

The perpendicular from the origin to the line y=m x+c meets it at the point (-1,2). Find the values of m\ a n d\ c dot

The line x/a+y/b=1 meets the axis of and y at A and B respectively and C is middle point of AB then

The coordinates o the foot of the perpendicular drawn from the origin to the line joining the point (-9,4,5)a n d(10 ,0,-1) will be a. (-3,2,1) b. (1,2,2) c. 4,5,3 d. none of these

A straight line is drawn through P(3,4) to meet the axis of x and y at Aa n dB , respectively. If the rectangle O A C B is completed, then find the locus of Cdot

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a) 3x-4y+2=0 (b) 4x+3y+7=0 (c) 6x-8y+7=0 (d) none of these

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at A and B , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a) 3x-4y+2=0 (b) 4x+3y+7=0 (c) 6x-8y+7=0 (d) none of these

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

    Text Solution

    |

  2. In a triangle A B C , side A B has equation 2x+3y=29 and side A C has ...

    Text Solution

    |

  3. The foot of the perpendicular on the line 3x+y=lambda drawn from the o...

    Text Solution

    |

  4. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

    Text Solution

    |

  5. The real value of a for which the value of m satisfying the equation (...

    Text Solution

    |

  6. If one of the sides of a square is 3x-4y-12 = 0 and the center is (0,0...

    Text Solution

    |

  7. If the quadrilateral formed by the lines a x+b y+c=0,a^(prime)x+b^(pri...

    Text Solution

    |

  8. The vertex P of an equilateral triangle trianglePQR is at (2,3) and th...

    Text Solution

    |

  9. The straight lines 7x-2y+10=0 and 7x+2y-10=0 form an isosceles triangl...

    Text Solution

    |

  10. Find the least value of (x-2)^2+(y-2)^2 under the condition 3x+4y-2=0.

    Text Solution

    |

  11. theta1 and theta2 are the inclination of lines L1a n dL2 with the x-ax...

    Text Solution

    |

  12. Find the least and greatest values of the distance of the point (costh...

    Text Solution

    |

  13. A light ray coming along the line 3x+4y=5 gets reflected from the lin...

    Text Solution

    |

  14. Prove that the product of the lengths of the perpendiculars drawn f...

    Text Solution

    |

  15. Line a x+b y+p=0 makes angle pi/4 with xcosalpha+ysinalpha=p ,p in ...

    Text Solution

    |

  16. Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its ...

    Text Solution

    |

  17. A line is drawn perpendicular to line y=5x , meeting the coordinate ax...

    Text Solution

    |

  18. Find the coordinates of a point on x+y+3=0, whose distance from x+2y+2...

    Text Solution

    |

  19. If x-2y+4=0 and 2x+y-5=0 are the sides of an isosceles triangle having...

    Text Solution

    |

  20. If p is the length of perpendicular from the origin to the line who...

    Text Solution

    |