Home
Class 12
MATHS
The line (x+6)/5=(y+10)/3=(z+14)/8 is th...

The line `(x+6)/5=(y+10)/3=(z+14)/8` is the hypotenuse of an isosceles right-angled triangle whose opposite vertex is `(7,2,4)dot` Then which of the following in not the side of the triangle?
a. `(x-7)/2=(y-2)/(-3)=(z-4)/6`
b. `(x-7)/3=(y-2)/6=(z-4)/2`
c. `(x-7)/3=(y-2)/5=(z-4)/(-1)`
d. none of these

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

The lines (x-2)/1=(y-3)/1=(z-4)/-k and (x-1)/k=(y-4)/2=(z-5)/1 are coplaner if

The lines (x)/(1)=(y)/(2)=(z)/(3) and (x-1)/(-2)=(y-2)/(-4)=(3-z)/(6) are

Write the vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) .

Find the angle between the lines (x-7)/(2)=(y-6)/(3)=(z+2)/(-4) and (2-x)/(-1)=(y-9)/(5)=(z-12)/(4) .

The angle between the straight lines (x-4)/(2)=(y-5)/(0)=(z-6)/(0) and (3-x)/(3)=(y-7)/(0)=(z-3)/(0) is -

Consider the lines (x-5)/(3)=(y-7)/(-16)=(z-3)/(7) and (x-9)/(3)=(y-13)/(8)=(z-15)/(-5) , then-

Find the angle between the lines (x-5)/(7)=(y+2)/(-5)=(z-9)/(1) and (x-5)/(2)=(y-10)/(2)=(z-9)/(-4) .

Find the equation of the plane containing the lines (x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot

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

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Consider triangle A O B in the x-y plane, where A-=(1,0,0),B-=(0,2,0)a...

    Text Solution

    |

  2. Let vec a= hat i+ hat j and vec b=2 hat i- hat k , then the point of ...

    Text Solution

    |

  3. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

    Text Solution

    |

  4. The equation of the plane which passes through the line of intersect...

    Text Solution

    |

  5. The coordinates of the point P on the line vec r=( hat i+ hat j+ h...

    Text Solution

    |

  6. The ratio in which the line segment joining the points whose positio...

    Text Solution

    |

  7. The number of planes that are equidistant from four non-coplanar point...

    Text Solution

    |

  8. In a three-dimensional coordinate system, P ,Q , and Rare images of a...

    Text Solution

    |

  9. A plane passing through (1,1,1) cuts positive direction of coordinates...

    Text Solution

    |

  10. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

    Text Solution

    |

  11. The point of intersection of the line passing through (0,0,1) and ...

    Text Solution

    |

  12. Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-...

    Text Solution

    |

  13. Distance of point P( vec p) from the plane vec rdot vec n=0 is a. | v...

    Text Solution

    |

  14. The reflection of the point vec a in the plane vec rdot vec n=q is...

    Text Solution

    |

  15. Line vec r= vec a+lambda vec b will not meet the plane vec rdot vec ...

    Text Solution

    |

  16. If a line makes an angle of pi/4 with the positive direction of ea...

    Text Solution

    |

  17. Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=...

    Text Solution

    |

  18. A plane which prependicular totwo planes 2x-2y+z=0and x-y+2z=4 passes ...

    Text Solution

    |

  19. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  20. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

    Text Solution

    |