Home
Class 12
MATHS
The points (a, 2 a),(-2,6) and (3,1) are...

The points `(a, 2 a),(-2,6)` and (3,1) are collinear then `a=`

A

1)`(3)/(4)`

B

2)`(4)/(3)`

C

3)3

D

4)4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

If (t, 2t), (-2, 6), and (3, 1) are collinear, t =

The points (6,-1,2),(5,2,4) and (8,-7,k) are collinear, then k =

If the points (a^(2), 0),(0, b^(2)) and (1,1) are collinear then

If the points (7,-2) , (5,1) and (3,5) are collinear. Find the value of k.

If the points (-1,-1,2), (2,m,5) and (3,11,6) are collinear, find the value of m.

If the points (7, -2) (5, 1) and (3, k) are collinear. Find the value of k. OR Find the area of Rhombus if its vertices are (3, 0) (4, 5) (-2, -1) taken in order.

Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear.

The points (5, 2, 4), (6,-1, 2) and (8, -7, k) are collinear if k is equal to :

Show that the points A(1,2,7),B(2,6,3) and C(3,10,-10 are collinear.

Using distance formula, show that the points (1,5), (2,4) and (3,3) are collinear.

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The ratio in which x -axis divides the line segment joining (3,6) and ...

    Text Solution

    |

  2. The ratio in which (-3,4) divides the line joining (1,2) and (7,-1) is

    Text Solution

    |

  3. The points (a, 2 a),(-2,6) and (3,1) are collinear then a=

    Text Solution

    |

  4. [[x(1),y(1),1],[x(2),y(2),1],[x(3),y(3),1]] = 0is the condition that t...

    Text Solution

    |

  5. The value of lambda for which the lines 3 x+4 y=5, 5 x+4 y=4 and lambd...

    Text Solution

    |

  6. Area of the parallelograms formed by the lines 4 y - 3 x-a=0, 3 y-4...

    Text Solution

    |

  7. The vertices of a triangle are (0,3),(-3,0) and (3,0) . The coordinate...

    Text Solution

    |

  8. The fourth vertex of the square formed by points (2,1),(4,3),(-2,5) is

    Text Solution

    |

  9. Three vertices of a parallelogram taken in order are (-1,-6),(2,-5) an...

    Text Solution

    |

  10. The vertices of a triangle are (0, 0), (3, 0) and (0, 4). Its orthocen...

    Text Solution

    |

  11. The points (3,2),(-3,2),(0, h) are the vertices of an equilateral tria...

    Text Solution

    |

  12. The area of the quadrilateral formed by (2,-1) , (4,3),(-1,2) and (-3,...

    Text Solution

    |

  13. If (-2,2),(1,0),(x, 0),(1, y) form a parallelogram then (x, y)=

    Text Solution

    |

  14. The mid points of B C, C A and A B of the triangle A B C are D=(1,2), ...

    Text Solution

    |

  15. The extremities of a diagonal of a parallelogram are (3,-4) and (-6,5)...

    Text Solution

    |

  16. Mid points of the sides A B and A C of a triangle A B C are (-3,-5) an...

    Text Solution

    |

  17. A=(3,5), B=(-5,-4) and C=(7,10) are the vertices of a parallelogram AB...

    Text Solution

    |

  18. The base vertices of an isosceles triangle are (7,9) and (3,-7), then ...

    Text Solution

    |

  19. The one of the possible third vertex of the equilateral triangle whose...

    Text Solution

    |

  20. The points (4,-1),(7,9) and (4,11) are the mid points of the sides of ...

    Text Solution

    |