Home
Class 12
MATHS
Statement-1 A line L is perpendicular to...

Statement-1 A line L is perpendicular to the plane `3x-4y+5z=10`.
Statement-2 Direction cosines of L be `lt(3)/(5sqrt(2)), -(4)/(5sqrt(2)), (1)/(sqrt(2))gt`

A

Statement 1 is true, Statement 2 is also true, Statement-2 is the correct explanation of Statement-1.

B

Statement 1 is true, Statement 2 is also true, Statement-2 is not the correct explanation of Statement-1.

C

Statement 1 is true, Statement 2 is false.

D

Statement 1 is false, Statement 2 is true

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • THEORY OF EQUATIONS

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

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

Similar Questions

Explore conceptually related problems

Find the angle between the plane x+y-2z+5=0 and the line whose direction cosines are 1/sqrt(6),2/sqrt(6),1/sqrt(6) .

A straight line L on the xy-plane bisects the angle between OX and OY. What are the direction cosines of L? a.(:(1/sqrt(2)),(1/sqrt(2)),0:)b(:(1/2),(sqrt(3)/2),0:)c.(:0,0,1:)d(:(2/3),(2/3),(1/3):)

The direction-cosines of the vector hati + 2 hatj + 3 hatk are lt (1)/(sqrt(14)), (2)/(sqrt(14)),(3)/(sqrt(14)) gt

3sqrt(4)+2sqrt(9)+5sqrt(4)-sqrt(1)-4sqrt(9)

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

Statement-1 : The S.D. of 5 scores 1 2 3 4 5 is sqrt2 . Statement-2 : S.D. = sqrt"variance"

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

If ((x-2sqrt(6))(5sqrt(3)+5sqrt(2)))/(5sqrt(3)-5sqrt(2))=1, then the

The distance of the point (1,-5,""9) from the plane x-y+z=5 measured along the line x=y=z is : (1) 3sqrt(10) (2) 10sqrt(3) (3) (10)/(sqrt(3)) (4) (20)/3

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the center of the circle lies on x-2y=4. The radius of the circle is 3sqrt(5)(b)5sqrt(3)(c)2sqrt(5)(d)5sqrt(2)

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Statement-1 A line L is perpendicular to the plane 3x-4y+5z=10. Stat...

    Text Solution

    |

  2. Consider a pyramid OPQRS located in the first octant (xge0, yge0, zge0...

    Text Solution

    |

  3. Let P be the image of the point (3, 1, 7) with respect to the plane x...

    Text Solution

    |

  4. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

    Text Solution

    |

  5. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

    Text Solution

    |

  6. A line l passing through the origin is perpendicular to the lines 1:...

    Text Solution

    |

  7. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

    Text Solution

    |

  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

    Text Solution

    |

  9. If the distance between the plane Ax-2y+z=d and the plane containing ...

    Text Solution

    |

  10. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  11. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  12. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  13. Consider three planes P(1):x-y+z=1 P(2):x+y-z=-1 and " "P...

    Text Solution

    |

  14. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  15. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

    Text Solution

    |

  16. The distance of the point (1, 3, -7) from the plane passing through th...

    Text Solution

    |

  17. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  18. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

  19. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  20. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

  21. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |