Home
Class 12
MATHS
Prove that the lines (x+4)/3=(y+6)/5=(z...

Prove that the lines `(x+4)/3=(y+6)/5=(z-1)/(-2)` and `3x-2y+z+5=0=2x+3y+4z-4` are co-planar.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Show that the lines (x+3)/2=(y+5)/3=(z-7)/-3 and (x+1)/4=(y+1)/5=(z+1)/-1 are co-planar.

Prove that the line (x+5)/3=(y+4)/1=(z-7)/-2 and x/1=(y+7)/5=(z-16)/-13 are coplanar.

Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5y+z=0

Show that the lines at (5-x)/(-4) = (y-7)/(4) = (z+3)/(-5) and (x-8)/(7) = (2y - 8)/(2) = (z-5)/(3) are coplanar.

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

What is the angle between the lines (x+2)/-4 = (y + 3)/5 = (z - 1)/3 and (1 - x)/-4 = (y - 1)/5 =(2 -z)/3 .

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb). Interpret this res...

    Text Solution

    |

  2. Find the area of the parallelogram whose diagonals are vectors 3hati+h...

    Text Solution

    |

  3. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

    Text Solution

    |

  4. Find the equation of the tangent and normal to the curve y(x-2)(x-3)-x...

    Text Solution

    |

  5. Show that the semivertical angle of a cone of given slant height is ta...

    Text Solution

    |

  6. Let f be defined by f (x)=2x + 1 for all xinR. Show that f is bijectiv...

    Text Solution

    |

  7. Show that the relation ~ on ZZ-{0}timesZZ-{0} defined by (m,n)~(p,q)Le...

    Text Solution

    |

  8. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

    Text Solution

    |

  9. Find the inverse of the following matrix using elementary transformati...

    Text Solution

    |

  10. Express A=((1,2),(2,3) as the sum of a symmetric and a skew symmetric ...

    Text Solution

    |

  11. Prove that intdx/(1+cosx+sinx)=ln|1+tan""x /2|+c .

    Text Solution

    |

  12. Solve (x-y+1)dx-(x+y+5)dy=0

    Text Solution

    |

  13. Give example of a function whose is continuous but not differentiable ...

    Text Solution

    |

  14. If absveca=10,absvecb=1 and veca.vecb=0 then what is the value of |vec...

    Text Solution

    |

  15. Express the value of sin "cos"^(-1) tan sec^(-1)sqrt2in simplest form.

    Text Solution

    |

  16. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

    Text Solution

    |

  17. For a 2xx2 matrix A, if A.adjA=[(10,0),(0,10)], then what is the value...

    Text Solution

    |

  18. What is the distance of point (3,-4, 5) from z-axis ?

    Text Solution

    |

  19. What is the value of abs((1,logx y, logx z),(logy x,1,logy z),(logz x,...

    Text Solution

    |

  20. What is the value of int0^100[tan^(-1)x]dx ?

    Text Solution

    |