Home
Class 11
MATHS
If each of the points (x1, 4), (-2,y1) l...

If each of the points `(x_1, 4), (-2,y_1)` lies on the line joining the points (2, -1), (5, -3), then the points `P(x_1, y_1)` lies on the line :

A

6 (x + y) - 25 = 0

B

2x + 6y + 1= 0

C

2x + 3y - 6 = 0

D

6 (x + y) + 25 = 0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

The angle between the line joining the points (1,-2) , (3,2) and the line x+2y -7 =0 is

the line joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2y+z=6 is __

The line joining the points (1,1,2) and (3,-2,1)meets the plane 3x + 2y + z = 6 is

If the straight line joining the points (3,4) and (2,-1) be parallel to the line joining the points (a,-2) and (4,-a), find the value of a.

A point with y-coordinate 5 lies on the line-segment joining the points ( 1 , 4 , -3) and (4 , 7 , - 6) , find the coordinates of the point .

If the z-coordinate of a point C on the line joining the points A(2, 2, 1) and B(5, 1, -2) is (-1), then x-coordinate of C is -

In what ratio does the line joining the points (2, 3) and (4, 1) divide the segment joining the points (1, 2) and (4, 3)?

If the straight line joining the points (4, -3, 2) and (3, -1, 5) is perpendicular to the straight line joining the points (m, -2, 1) and (7, 3, -2), then the value of m is -

The line segment joining the points (1,2) and (-2, 1) is divided by the line 3x+4y=7 in the ratio

If A ( 1 , y , z) lies on the line through the points b ( 3 , 2 , - 1) and c ( - 4 , 6 , 3) , then find the values of y and z .

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. The distance of the point (3, 5) from the line 2x + 3y - 14 = 0 measur...

    Text Solution

    |

  2. The lines x cos alpha + y sin alpha = p1 and x cos beta + y sin beta ...

    Text Solution

    |

  3. If each of the points (x1, 4), (-2,y1) lies on the line joining the po...

    Text Solution

    |

  4. The angle between the lines 2x - y + 3 = 0 and x + 2y + 3 =0

    Text Solution

    |

  5. Equation to the straight line cutting off an intercept 2 from negative...

    Text Solution

    |

  6. The number of lines that are parallel to 2x + 6y -7 = 0 and have an in...

    Text Solution

    |

  7. If the quadrilateral formed by the lines ax + by + c = 0, a'x + b'y + ...

    Text Solution

    |

  8. The co-ordinates of a point on the line y = x where perpendicular dist...

    Text Solution

    |

  9. If the points (1,2) and (3, 4) are on the opposite side of the line 3x...

    Text Solution

    |

  10. If k x^2 + 10 xy + 3 y^2 - 15x - 21y + 18 = 0 represents a pair of str...

    Text Solution

    |

  11. The point of intersection of the straight lines given by the equation ...

    Text Solution

    |

  12. If the equation 12x^2 + 7xy - py^2 - 18x qy + 6 = 0 represent two perp...

    Text Solution

    |

  13. If the angle between the two lines represented by 2x^2 + 5xy + 3y^2 + ...

    Text Solution

    |

  14. The equation of second degree x^2 + 2sqrt2 xy + 2y^2 + 4x + 4 sqrt2 y ...

    Text Solution

    |

  15. The point (4,1) undergoes the following transformation successively (i...

    Text Solution

    |

  16. Mixed term xy is to be removed from the general equation of second deg...

    Text Solution

    |

  17. For points P=(x1,y1)and Q =(x2,y2) of the co-ordinate plane a new dist...

    Text Solution

    |

  18. The orthocentre of the triangle formed by the lines x+y=1,2x+3y=6and 4...

    Text Solution

    |

  19. A straight line L with negative slope passes through the point (8,2) a...

    Text Solution

    |

  20. The distance between the circumcentre and orthocentre of the triangle ...

    Text Solution

    |