Home
Class 12
MATHS
If the equation of a line "A B" is ("...

If the equation of a line `"A B"` is `("x"-3)/1=("y"+2)/(-2)=("z"-5)/4,` find the direction ratios of a line parallel to `"A B"`

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|3 Videos

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos

Similar Questions

Explore conceptually related problems

Cartesian equation of a line A B are (2x-1)/2=(4-y)/7=(z+1)/2dot write the direction ratios of a line parallel to AB.

The Cartesian equation of a line is (x-3)/2=(y+1)/(-2)=(z-3)/5 . Find the vector equation of the line.

The Cartesian equation of a line is (x-3)/2=(y+1)/(-2)=(z-3)/5 . Find the vector equation of the line.

The Cartesian equations of a line AB are (2x-1)/(sqrt(3))=(y+2)/2=(z-3)/3dot Find the direction cosines of a line parallel to AB.

The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the direction cosines of a line parallel to this line.

The Cartesian equation of a line is (x-5)/3=(y+4)/7=(z-6)/2 . find the vector equation of the line.

The Cartesian equation of a line is (x+3)/2=(y-5)/4=(z+6)/2 . Find the vector equation for the line.

Find the direction cosines of the line (x-2)/2=(2y-5)/(-3),z=-1. Also, find the vector equation of the line.

Find the equation of line x+y-z-3=0=2x+3y+z+4 in symmetric form. Find the direction ratio of the line.

Let the equations of a line and plane be (x+3)/2=(y-4)/3=(z+5)/2a n d4x-2y-z=1, respectively, then a. the line is parallel to the plane b. the line is perpendicular to the plane c. the line lies in the plane d. none of these

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Write the condition for the lines vec r= vec a1+lambda vec b1 a n d...

    Text Solution

    |

  2. The Cartesian equations of a line AB are (2x-1)/(sqrt(3))=(y+2)/2=(z-3...

    Text Solution

    |

  3. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

    Text Solution

    |

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

    Text Solution

    |

  5. The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the d...

    Text Solution

    |

  6. Find the cartesian equation of the line which passes through the poin...

    Text Solution

    |

  7. Find the Cartesian equation of the line which passes through the point...

    Text Solution

    |

  8. Find the angle between the lines vec r=(2 hat i-5 hat j+ hat k)+lambd...

    Text Solution

    |

  9. Find the angle between the lines 2x=3y=-za n d 6x=-y=-4zdot

    Text Solution

    |

  10. The angle between the straight lines (x+1)/2=(y-2)/5=(z+3)/4a n d(x-1)...

    Text Solution

    |

  11. The lines x/1=y/2=z/3a n d(x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are a. coin...

    Text Solution

    |

  12. The angle between the lines (x-1)/1=(y-1)/1=(z-1)/2a n d(x-1)/(-sqrt(3...

    Text Solution

    |

  13. The direction ratios of the line 2y+z-5=0=x-3y-6 are proportional to 3...

    Text Solution

    |

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

    Text Solution

    |

  15. The equation of the line passing through the points (a1 hat i+a2 hat j...

    Text Solution

    |

  16. If a line makes angles alpha,beta,gamma with the axes respectively teh...

    Text Solution

    |

  17. If the direction ratios of a line are proportional to ( 1, -3, 2 ) the...

    Text Solution

    |

  18. If a line makes angle pi/3\ a n d\ pi/4 with x-axis and y-axis respect...

    Text Solution

    |

  19. The projections of a line segment on X, Y and Z axes are 12,4 and 3 ...

    Text Solution

    |

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

    Text Solution

    |