Home
Class 10
MATHS
If the points A(-1,\ -4),\ \ B(b ,\ c...

If the points `A(-1,\ -4),\ \ B(b ,\ c)` and `C(5,\ -1)` are collinear and `2b+c=4` , find the values of `b` and `c` .

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA|Exercise All Questions|21 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|390 Videos

Similar Questions

Explore conceptually related problems

If the points A(-1,-4),B(b,c)andC(5,-1) are collinear and 2b+c=4, find the values of b and c

If the points A(-1,-4),B(b,c)and C(5,-1) are collinear and 3b + c = 4, find the values of b and c.

If the point A (-2, 1 ), B (a, b) and C (4, -1) are collinear and a-b = 1, find the values of a and b.

If the points A (-2, 1), B (a, b) and C (4,-1) are collinear and a -b= 1, find the values of a and b.

Show that the point A (1,-1,3), B ( 2,-4,5) and C ( 5,-13,11) are collinear.

If the points A( 5,5 lamda ) , B ( - 1, 3 , 2) and C ( -4 , 2 , -2) are collinear , find the value of lamda .

Show that the points A(2,1,3) ,B(5,0,5) and C(-4,3,-1) are collinear .

If the points A(-1, 3, lambda), B(-2, 0, 1) and C(-4, mu, -3) are collinear, then the values of lambda and mu are

Find the value of k, if the points A(-1,1) B(5,7) and C(8,k) are collinear

Find the value of k if the points A(8,1), B(k, -4) and C(2,-5) are collinear.

RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Find the area of a parallelogram A B C D if three of its vertice...

    Text Solution

    |

  2. The points (k-1, k+2),(k , k+1),(k+1, k) are collinear for

    Text Solution

    |

  3. If the points A(-1,\ -4),\ \ B(b ,\ c) and C(5,\ -1) are colline...

    Text Solution

    |

  4. If P(-5,\ -3),\ Q(-4,\ -6),\ R(2,\ -3) and S(1,\ 2) are the vertice...

    Text Solution

    |

  5. Find the area of the triangle P Q R with Q(3,\ 2) and the mid-po...

    Text Solution

    |

  6. Write the distance between the points A(10costheta,\ 0) and B(0,\ 1...

    Text Solution

    |

  7. Write the perimeter of the triangle formed by the points O(0,\ 0),\...

    Text Solution

    |

  8. Write the ratio in which the line segment joining points (2,\ 3) an...

    Text Solution

    |

  9. What is the distance between the points (5sin60o,\ 0) and (0,\ 5sin...

    Text Solution

    |

  10. If A(-1,\ 3),\ \ B(1,\ -1) and C(5,\ 1) are the vertices of a triangl...

    Text Solution

    |

  11. If the distance between points (x ,\ 0) and (0,\ 3) is 5, what a...

    Text Solution

    |

  12. What is the area of the triangle formed by the points O(0,\ 0),\ \ ...

    Text Solution

    |

  13. Write the coordinates of the point dividing line segment joining po...

    Text Solution

    |

  14. If the centroid of the triangle formed by points P(a ,\ b),\ \ Q(b ...

    Text Solution

    |

  15. If the centroid of the triangle formed by points P ( a , b ) , ...

    Text Solution

    |

  16. Write the coordinates of a point on X -axis which is equidistant...

    Text Solution

    |

  17. If the mid-point of the segment joining A(x ,\ y+1) and B(x+1,\ y+2...

    Text Solution

    |

  18. Two vertices of a triangle have coordinates (-8,\ 7) and (9,\ 4) . ...

    Text Solution

    |

  19. Write the coordinates the reflections of point (3,\ 5) in X and Y -...

    Text Solution

    |

  20. If points Q and R reflections of point P(-3,\ 4) in X and Y axes ...

    Text Solution

    |