Home
Class 12
MATHS
If the coordinates of the vertices of a ...

If the coordinates of the vertices of a triangle ABC be A(-1,3,2), B(2,3,5), C(3,5,-2) then `hat A =`

A

`45^(o)`

B

`60^(o)`

C

`90^(o)`

D

`30^(o)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos
  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle with vertices A(1,1,2), B(2,3,5) and C(1,5,5).

Find the area of the triangle vertices are (-5, -1), (3, -5), (5, 2)

If the midpoints of the sides of a triangle are (3, 4) (4, 6), and (5,7), find the coordinates of the vertices of the triangle.

If the vertices of Delta ABC are A(5,-1) , B (-3,-2), C(-1,8) find the length of median through A.

The coordinates of the circumcentre of the triangle with vertices (2,3),(4,-1) and (4,3) are

Draw the graphs of the equations 5x-y=5 and 3x-y=3 Determine the coordinates of the vertices of the triangle formed by these lines and the y-axis.

The area of the triangle whose vertices are A = (1,-1,2), B= (2,1,-1) and C = (3,-1,2) is

What type of triangle is DeltaABC , with the coordinates of the vertices are A(-1, 0) B(1, 0) and C(0, sqrt(3)) . Calculate its Area. OR Find the values of k so that the area of the triangle with vertices (1, -1) (-4, 2k) and (-k, -5) is 24 sq. units.

The centroid of the triangle ABC where A= (2,3), B= (8,10) and C= (5,5) is

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The point equidistant from (a, 0, 0), (0, a, 0), (0, 0, a) and (0, 0, ...

    Text Solution

    |

  2. The line joining the points (3,5,-7) and (-2,1,8) meets the yz -plane ...

    Text Solution

    |

  3. If the coordinates of the vertices of a triangle ABC be A(-1,3,2), B(2...

    Text Solution

    |

  4. The equation of the plane in which the lines (x-5)/4 = (y-7)/4 = (z+3)...

    Text Solution

    |

  5. If P be the point (2,6,3) then the equation of the plane through P at ...

    Text Solution

    |

  6. The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the t...

    Text Solution

    |

  7. The intercepts of the plane 5x-3y+6z = 60 on the co-ordinate axes are

    Text Solution

    |

  8. Equation of x-axis is

    Text Solution

    |

  9. The angle between the line x/2 = y/3 = z/4 and the plane 3x+2y-3z = 4 ...

    Text Solution

    |

  10. The equation of a line of intersection of planes 4x+4y-5z=12 and 8x+12...

    Text Solution

    |

  11. The equation of the plane which makes with coordinate axes a triangle ...

    Text Solution

    |

  12. A variable plane moves, so that the sum of the reciprocals of its inte...

    Text Solution

    |

  13. Equation of the plane passing through the line of intersection of the ...

    Text Solution

    |

  14. The point of intersection of the line (x-5)/3 = (y-7)/(-1) = (z+2)/1 ,...

    Text Solution

    |

  15. The angle between the planes x+2y+2z =3 and -5x+3y+4z = 9 is

    Text Solution

    |

  16. The distance of the point A(2,3,4) from x-axis is

    Text Solution

    |

  17. The value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies on the ...

    Text Solution

    |

  18. A variable plane at a distance of 1 unit from the origin cuts the coor...

    Text Solution

    |

  19. A plane passes through (1, - 2, 1) and is perpendicular to the planes ...

    Text Solution

    |

  20. The point (alpha, beta, gamma) lies on the plane x+y+z = 2. Let, vec a...

    Text Solution

    |