Home
Class 12
MATHS
The coordinates of the points A and B ar...

The coordinates of the points A and B are, respectively, (-3, 2) and (2, 3). P and Q are points on the line joining A and B such that AP = PQ = QB. A square PQRS is constructed on PQ as one side, the coordinates of R can be

A

`(-4//3, 7//3)`

B

`(0, 13//3)`

C

`(1//3, 8//3)`

D

`(2//3, 1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|21 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. (AIEEE/JEE MAIN PAPERS)|63 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS|60 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

If P and Q are two points on the line joining A(-2,5),B(3,1) such that AP=PQ=QB then PB=

The coordinates of the points P and Q are respectively (4,-3) and (-1,7). Find the abscissa of a point R on the line segment PQ such that (PR)/(PQ)=(3)/(5) .

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

The coordinates of the point P are (-3,2) . Find the coordinates of the point Q which lies on the line joining P and origin such that OP=OQ.

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 A=(2, -3, 7), B = (-1, 4, -5) and P is a point on the line AB such that AP : BP = 3 : 2 then P has the coordinates

If the coordinates of points A and B are (-2, -2) and (2, -4) respectively, find the coordinates of the point P such that AP = (3)/(7)AB , where P lies on the line segment AB.

A(2,3.0) and B(2,1,2) are two points.If the points P,Q are on the line AB such that AP=PQ=QB then PQ is Loo

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -EXERCISE (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS
  1. The vertices of the triangle ABC are A(1, 2), B (0, 0) and C (2, 3), t...

    Text Solution

    |

  2. The points (0,8/3),(1,3) , and (82 ,30) are the vertices of an obtuse...

    Text Solution

    |

  3. Area of the rhombus bounded by the four lines, ax +- by +-c = 0 is

    Text Solution

    |

  4. If x cos alpha + y sin alpha = - sin alpha tan alpha be the equation o...

    Text Solution

    |

  5. The coordinates of the points A and B are, respectively, (-3, 2) and (...

    Text Solution

    |

  6. If A(x1,y1),B(x2,y2),C(x3,y3) are the vertices of the triangle then sh...

    Text Solution

    |

  7. Given four lines whose equations are x +2y -3=0, 2x+3y-4=0, 3x + 4y -7...

    Text Solution

    |

  8. A ray of light coming fromthe point (1, 2) is reflected at a point A o...

    Text Solution

    |

  9. If Delta(1), Delta(2), Delta(3) are the areas of the triangles with ve...

    Text Solution

    |

  10. The orthocentre of the triangle formed by the lines y=0, (1+t)x-ty+t(1...

    Text Solution

    |

  11. A(3,0) and B(6,0) are two fixed points and U(x1,y1) is a variable poi...

    Text Solution

    |

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

    Text Solution

    |

  13. The lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 are the sides of a square. T...

    Text Solution

    |

  14. The distance between the orthocentre and the circumcentre of the trian...

    Text Solution

    |

  15. The centroid of a triangle lies at the origin and the coordinates of i...

    Text Solution

    |

  16. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

    Text Solution

    |

  17. The straight lines 4x-3y-5=0, x-2y=0, 7x+y-40=0 and x+3y+10=0 from

    Text Solution

    |

  18. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

    Text Solution

    |

  19. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 b...

    Text Solution

    |

  20. The locus represented by the equation (x-y+c)^(2)+(x+y-c)^(2)=0 is

    Text Solution

    |