Home
Class 12
MATHS
If the length of the perpendicular drawn...

If the length of the perpendicular drawn from (1,2,3) to the line `(x-6)/(3)=(y-7)/(2)=(z-7)/(-2)` is K units, then the value of K is -

Text Solution

Verified by Experts

The correct Answer is:
7
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Exercise 4A|81 Videos

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION|20 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

The length of the perpendicular drawn from (1,2,3) to the line (x-6)/3=(y-7)/2=(z-7)/(-2) is a. 4 b. 5 c. 6 d. 7

Find the length of the perpendicular drawn from point (2,3,4) to line (4-x)/2=y/6=(1-z)/3dot

Find the distance of the point (1,2,3) from the line (x-6)/(2)=(y-7)/(2)=(z-7)/(-3) .

Find the image of the point (1, 2, 3) in the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2) .

find the length of the perpendicular drawn from the point (2,1,-1) on the line x - 2y + 4z = 9

Find the distance of the point (1,2,3) from the line (x-6)/2 = (y-7)/2= (z-7)/-3 .

If the length of the perpendicular drawn from the point (3,-5) upon the line 12x+ky=9 be 4 unit , find the value of k.

Find the foot of perpendicular drawn from the point (2, 2) to the line 3x - 4y + 5 = 0

The coordinates of the foot of the perpendicular drawn from the point A(2, 4, -1) on the line (x+5)/(1)=(y+3)/(4)=(z-6)/(-9) are -

If the perpendicular distance from origin to the straight line 4x-3y+P=0 is 2 unit,then the value of P is

CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Sample Questions for Competitive Examination
  1. The symmetrical from of the lines x+y+z-1=0 and 4x+y-2z+2=0 are -

    Text Solution

    |

  2. The equation of line passing through the point vec(a) parallel to the ...

    Text Solution

    |

  3. The lines vec(r)=hat(i)+hat(j)-hat(k)+lamda(3hat(i)-hat(j)) and vec(r)...

    Text Solution

    |

  4. Consider the lines (x-5)/(3)=(y-7)/(-16)=(z-3)/(7) and (x-9)/(3)=(y-13...

    Text Solution

    |

  5. The distance of the point A(veca) from the line vec(r)=vec(b)+tvec(c)...

    Text Solution

    |

  6. If the length of the perpendicular drawn from (1,2,3) to the line (x-6...

    Text Solution

    |

  7. If the shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(...

    Text Solution

    |

  8. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy xy=c^(...

    Text Solution

    |

  9. A line passing through the point (1,1,1) from a tiangle of area sqrt(6...

    Text Solution

    |

  10. The direction cosines of two lines satisfy the relations lamda(l+m)=n ...

    Text Solution

    |

  11. Each question in this section contains statements given in two columns...

    Text Solution

    |

  12. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

    Text Solution

    |

  13. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

    Text Solution

    |

  14. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

    Text Solution

    |

  15. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

  16. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

  17. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

  18. Statement - I: The point A (1,0,7) is the mirror image of the point B(...

    Text Solution

    |

  19. Statement - I : The lines vec(r)=hat(i)+hat(j)-hat(k)+S(3hat(i)-hat(j)...

    Text Solution

    |