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 is 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

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

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|7 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the lines (x-1)/2=(y-2)/4=(z-3)/7 and (x-1)/4=(y-2)/5=(z-3)/7

Find the equations the sides of an isosceles right angled triangle the equation of whose hypotenuse is 3x+4y=4 and the opposite vertex is the point (2, 2).

Find the angle between the following pairs of line: (x-5)/1=(2y+6)/(-2)=(z-3)/1a n d(x-2)/3=(y+1)/4=(z-6)/5

Find the equations of the sides of an isosceles right angled triangle the equation of whose hypotenuse is 3x+4y=4 and the opposite vertex is the point (2, 2).

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

The lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-1)/3=(y-2)/4=(z-3)/5 are (A) parallel to x-axis (B) skew (C) intersecting (D) none of these

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

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

Find the angle between the following pairs of line: (-x+2)/(-2)=(y-1)/7=(z+3)/(-3)a n d(x+2)/(-1)=(2y-8)/4=(z-5)/4

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

ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Find the point of intersection of line passing through (0,0,1) and ...

    Text Solution

    |

  2. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

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

    Text Solution

    |

  4. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

    Text Solution

    |

  5. Let r=a+lambdal and r=b+mum br be two lines in space, where a= 5hat(i)...

    Text Solution

    |

  6. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

    Text Solution

    |

  7. The vector equations of two lines L1 and L2 are respectively vec r=1...

    Text Solution

    |

  8. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

    Text Solution

    |

  9. Intercept made by the circle zbarz+bara+a barz+r=0 on the real axis ...

    Text Solution

    |

  10. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

    Text Solution

    |

  11. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

    Text Solution

    |

  12. If from the point P(f, g, h) perpendicular PL and PM be drawn to yz an...

    Text Solution

    |

  13. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D ar...

    Text Solution

    |

  16. Equations of the line which passe through the point with position vect...

    Text Solution

    |

  17. Which of the following planes are parallel but not identical? P1: 4x...

    Text Solution

    |

  18. A parallelopiped is formed by planes drawn through the points (1, 2, 3...

    Text Solution

    |

  19. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

    Text Solution

    |

  20. The vector equations of two lines L1 and L2 are respectively, L1:r=2i+...

    Text Solution

    |