Home
Class 12
MATHS
If P(1,0), Q(-1,0) and R (2,0) are three...

If P(1,0), Q(-1,0) and R (2,0) are three given points, then the locus of the point `S` satisfying the relation `(SQ)^2+(SR)^2=2(SP)^2`

A

(0, 0)

B

(2/3, 0)

C

`(-3//2, 0)`

D

`(0, -2//3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS|30 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|25 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED) SINGLE CORRECT ANSWER TYPE QUESTIONS|15 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=(1,0);Q=(-1.0)&R=(2,0) are three given points,then the locus of the points S satisfying the relation,SQ^(2)+SR^(2)=2SP^(2) is -

Let P-=(a, 0), Q-=(-1, 0) and R-=(2, 0) are three given points. If the locus of the point S satisfying the reaction SQ^(2)+SR^(2)=2SP^(2) is 2x+3=0 . Then the sum of all possible values of a is

If A(-1, 0), B(1, 0) and C(3, 0) are three given points, then the locus of point D satisfying the relation DA^2 + DB^2 = 2DC^2 is (A) a straight line parallel to x-axis (B) a striaght line parallel to y-axis (C) a circle (D) none of these

If P(0,1,2),Q(4,-2,1) and O(0,0,0) are three points, then /_POQ=

If P(0, 1, 2), Q(4, -2, 1) and R(0, 0, 0) are three points, then anglePRQ is

The locus of point z satisfying Re (z^(2))=0 , is

If P is the point (1,0) and Q lies on the parabola y^(2)=36x , then the locus of the mid point of PQ is :

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS
  1. The line L has intercepts a and b on the coordinate axes. The coordina...

    Text Solution

    |

  2. The set of lines ax+by+c=0, where 3a+2b+4c=0 is concurrent at the poin...

    Text Solution

    |

  3. If P(1,0), Q(-1,0) and R (2,0) are three given points, then the locus ...

    Text Solution

    |

  4. If the algebraic sum of the distances of a variable line from the p...

    Text Solution

    |

  5. Find the equation of the straight line which passes throughthe point o...

    Text Solution

    |

  6. If the point (3, 4) lies on the locus of the point of intersection of ...

    Text Solution

    |

  7. Statement 1 : The equation of the sides of a triangle are x - 3y = 0, ...

    Text Solution

    |

  8. Locus of the mid-points of the intercepts between the coordinate axes ...

    Text Solution

    |

  9. If h denotes the arithmetic mean and k denotes the geometric mean of t...

    Text Solution

    |

  10. Ifa,b,c are in A.P., a,x,b,are in G.P and b,y,c are also in G.P then t...

    Text Solution

    |

  11. If one of the diagonals of a square is along the line x=2y and one of ...

    Text Solution

    |

  12. The line, which is parallel to X-axis and crosses the curve y=sqrtx at...

    Text Solution

    |

  13. A rectangle has two opposite vertices at the points (1,2) and (5,5). I...

    Text Solution

    |

  14. A straight line through the origin O meets the parallel lines 4x+2y=9a...

    Text Solution

    |

  15. Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...

    Text Solution

    |

  16. The number of integer values of m, for which the x-coordiante of the p...

    Text Solution

    |

  17. If the line 2x + y = k passes through the point which divides the line...

    Text Solution

    |

  18. A line is drawn through the point (1, 2) to meet the coordinate axes ...

    Text Solution

    |

  19. Let PQR be a right - angled isosceles triangle , right angled at P(2,1...

    Text Solution

    |

  20. The orthocentre of the triangle formed by the lines xy = 0 and 2x+3y-5...

    Text Solution

    |