Home
Class 11
MATHS
P and Q are points on the line joining A...

`P` and `Q` are points on the line joining `A(-2,5)` and `B(3,1)` such that `A P=P Q=Q B` . Then the distance of the midpoint of `P Q` from the origin is (a)`3 ` (b) `(sqrt(37))/2` (c) `4` (d) `3.5`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

P and Q are points on the line joining A(-2,5) and B(3,1) such that A P=P Q=Q B . Then, the distance of the midpoint of P Q from the origin is 3 (b) (sqrt(37))/2 (b) 4 (d) 3.5

Let P and Q be points on the line joining A(-2, 5) and B(3, 1) such that AP = PQ = QB. If mid-point of PQ is (a, b), then the value of (b)/(a) is

If P(3,7) is a point on the line joining A(1,1) and B(6,16), then the harmonic conjugate Q of point P has the coordinates

If the point (p,q) lies on the line joining the points (-4,5) and (-5,7) , then show that 2p+q+3=0 .

Let P and Q be the points of trisection of the line segment joining the points A(2, -2) and B(-7, 4) such that P is nearer to A. Find the coordinates of P and Q.

P is a point on the line y+2x=1, and Q and R are two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

Find the coordinates of points lying on the line joining P(3,-4) and Q(-2,5) that is twice as far from P as Q

Let P a point on the line y=3x and Q lies on 2y+x=2 and the mid-point of P Q is (2, 3). The distance P Q is (a)4 (b) 6 (c) 8 (d) 10

If P ((a)/(3),4) is the mid - point of the line segment joining the points Q(-6,5) and R(-2,3), then the value of a is

In Figure, A P\ a n d\ B Q are perpendiculars to the line segment A B\ a n d\ A P=B Q . Prove that O is the mid-point of line segment A B\ a n d\ P Q

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The vertices of a triangle are (p q ,1/(p q)),(p q)),(q r ,1/(q r)), a...

    Text Solution

    |

  2. If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre li...

    Text Solution

    |

  3. P and Q are points on the line joining A(-2,5) and B(3,1) such that A ...

    Text Solution

    |

  4. The point (4, 1) undergoes the following three transformations success...

    Text Solution

    |

  5. If the vertices P, Q, R of a triangle PQR are rational points, which o...

    Text Solution

    |

  6. If P(1,2) ,Q(4,6),R(5,7), and S(a , b) are the vertices of a parallelo...

    Text Solution

    |

  7. If the area of the triangle formed by the points (2a ,b)(a+b ,2b+a), a...

    Text Solution

    |

  8. The incenter of the triangle with vertices (1,sqrt(3)),(0,0), and (2,...

    Text Solution

    |

  9. The locus of the moving point whose coordinates are given by (e^t+e^(-...

    Text Solution

    |

  10. The distance between the circumcenter and the orthocentre of the trian...

    Text Solution

    |

  11. A man starts from the point P(-3,4) and reaches the point Q(0,1) tou...

    Text Solution

    |

  12. Statement 1 : The area of the triangle formed by the points A(1000 ...

    Text Solution

    |

  13. Consider three points P = (-sin (beta-alpha), -cos beta), Q = (cos(bet...

    Text Solution

    |

  14. abc

    Text Solution

    |

  15. Each equation contains statements given in two columns which have to b...

    Text Solution

    |

  16. A straight line passing through P(3,1) meets the coordinate axes at Aa...

    Text Solution

    |

  17. Let A-=(3,-4),B-=(1,2)dot Let P-=(2k-1,2k+1) be a variable point such ...

    Text Solution

    |

  18. If |{:(x1,,y1,,1),(x2,,y2,,1),(x3,,y3,,1):}|=|{:(a1,,b1,,1),(a2,,b2,,1...

    Text Solution

    |

  19. O P Q R is a square and M ,N are the middle points of the sides P Qa n...

    Text Solution

    |

  20. Which of the following sets of points form an equilateral triangle? (...

    Text Solution

    |