Home
Class 12
MATHS
If the point P(a, b) lies on the line 3 ...

If the point `P(a, b)` lies on the line `3 x+2 y=13` and the point `Q(b, a)` lies on the line `4 x-y=5`, then the equation of the line `P Q` is

A

`x-y=5`

B

`x+y=5`

C

`x+y=-5`

D

`x-y=-5`

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

Find the value of 'a' so that the point (3, a) lies on the line 2x - 3y = 5.

Find 'a' so that (3,a) lies on the line 2x - 3y = 5 .

Is the point (2,-7) lies on origin side of the line 2x+y+2 = 0 ?

Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x - y = 0 .

If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are on opposite sides of the line 3x-4y=8 , then :

A line meets the axes at P and Q such that the centroid of the triangle O P Q is (h, h) . The equation of the line P Q is

The image of the point P(3,5) w.r.t the line y=x is the point Q and the image of Q along the line y=0 is the point R(a, b), then (a, b)=

The distance of the point (1, 2) from the line x+y=0 measured parallel to the line 3x-y=2 is :

The lines 2 x+3 y=6,2 x+3 y=8 cut the x -axis at A, B respectively. A line ' P drawn through the point (2,2) meets the x- axis at C, in such a way that abscissa of A, B and C are in A.P. Then the equation of the line ' P is

A st. line through the point (2, 2) intersects the lines sqrt(3)x+y=0 and sqrt(3)x-y=0 at the points A and B. The equation to the line AB so that the triangle OAB is equilateral is :

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The range of values of theta in the interval (0, pi) such that the poi...

    Text Solution

    |

  2. If the point (a, a) falls between the lines |x+y|=2, then :

    Text Solution

    |

  3. If the point P(a, b) lies on the line 3 x+2 y=13 and the point Q(b, a)...

    Text Solution

    |

  4. The bisector of the acute angle formed between the linex 4 x-3 y+7=0 a...

    Text Solution

    |

  5. Circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and x+...

    Text Solution

    |

  6. Point underline(Q) is symmetric to P(4,-1) with respect to the bisecto...

    Text Solution

    |

  7. The coordinate axes are rotated about the origin O in the counter cloc...

    Text Solution

    |

  8. The area of the quadrilateral formed by two pairs of lines l^(2) x^(2)...

    Text Solution

    |

  9. The transformed equation of x^(2)+6 x y+8 y^(2)=10 when the axes are r...

    Text Solution

    |

  10. The value of k for which the lines 2 x-3 y+k=0,3 x-4 y-13=0,8 x-11 y-3...

    Text Solution

    |

  11. The transformed equation of 3 x^(2)+3 y^(2)+2 x y-2=0 when the coordin...

    Text Solution

    |

  12. The distance of the line 2 x-3 y=4 from the point (1,1) measured paral...

    Text Solution

    |

  13. The base vertices of an isosceles triangle P Q R are Q=(1,3) and R=(-2...

    Text Solution

    |

  14. A ray of light coming from the point (1, 2) is reflected at a point A ...

    Text Solution

    |

  15. The equation of the bisectors of the angles between the linex |x|=|y| ...

    Text Solution

    |

  16. Orthocentre of the triangle formed by the lines x+y=1 and x y=0 is

    Text Solution

    |

  17. If the points A(1,1), B(-1,-1), C=(-sqrt(3), sqrt(3)) are the vertices...

    Text Solution

    |

  18. The straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form a triangle, which...

    Text Solution

    |

  19. The lines a x+b y=c, b x+c y=a and c x+a y=b are concurrent, if

    Text Solution

    |

  20. The area enclosed within the curve |x|+|y| = 1 is

    Text Solution

    |