Home
Class 12
MATHS
If the direction ratios of a line are pr...

If the direction ratios of a line are proportional to ( 1, -3, 2 ) then its direction cosines are `1/(sqrt(14)),-3/(sqrt(14)),2/(sqrt(14))` b. `1/(sqrt(14)),2/(sqrt(14)),3/(sqrt(14))` c. `-1/(sqrt(14)),3/(sqrt(14)),2/(sqrt(14))` d. `-1/(sqrt(14)),-2/(sqrt(14)),-3/(sqrt(14))`

Text Solution

AI Generated Solution

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

The direction ratios of the line 2y+z-5=0=x-3y-6 are proportional to 3,\ 1,\ -2 b. 2,\ -4,\ 1 c. 3/(sqrt(14)),1/(sqrt(14)),(-2)/(sqrt(14)) d. 2/(sqrt(41)),(-4)/(sqrt(41)),1/(sqrt(41))

(sqrt(3)+1+sqrt(3)+1)/(2sqrt(2))

Which of the following is equal to root(3)(-1) a. (sqrt(3)+sqrt(-1))/2 b. (-sqrt(3)+sqrt(-1))/(sqrt(-4)) c. (sqrt(3)-sqrt(-1))/(sqrt(-4)) d. -sqrt(-1)

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)

(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))-(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))+(1)/(sqrt(2)+1)-(1)/(sqrt(2)-1)

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =

Direction cosines of a line which passes through the points (1,2,3) and (-3,4,1) is A) (4/(2sqrt6), -2/(2sqrt6), 2/(2sqrt6)) B) (4/(2sqrt6), -2/(2sqrt6), -2/(2sqrt6)) C) (4/(2sqrt6), 4/(2sqrt6), 2/(2sqrt6)) D) (-4/(2sqrt6), 1/(2sqrt6), -2/(2sqrt6))

([(sqrt(2)+isqrt(3))+(sqrt(2)-isqrt(3))])/([(sqrt(3)+1sqrt(2))+(sqrt(3)-1sqrt(2))])

Find the angle between the lines whose direction cosines are (-(sqrt3)/(4), (1)/(4), -(sqrt3)/(2)) and (-(sqrt3)/(4), (1)/(4), (sqrt3)/(2)) .

Prove that : (1)/(sqrt(2)+1)+ (1)/(sqrt(3)+sqrt(2))+ (1)/(2+sqrt(3))=1

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The straight line (x-3)/3=(y-2)/1=(z-1)/0 is (a) Parallel to x-axis (b...

    Text Solution

    |

  20. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a...

    Text Solution

    |