Home
Class 12
MATHS
A straight rod of length 9 units slides ...

A straight rod of length 9 units slides with its ends A, B always on the X and Y-axis respectively . Then the locus of the centroid of `DeltaOAB` is :

A

`x^(2)+y^(2)=3`

B

`x^(2)+y^(2)=9`

C

`x^(2)+y^(2)=1`

D

`x^(2)+y^(2)=81`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

A line passing through P(4, 2) meets the x and y-axis at A and B respectively. If O is the origin, then locus of the centre of the circumcircle of DeltaOAB is :

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis.

A line passing through P(3,4) meets the x -axis and y -axis at A and B respectively. If O is the origin, then locus of the centre of the circum centre of Delta O A B is

Derive the equation of a straight line having the intercepts 'a' & 'b' on the X ane Y-axes respectively. Hence find the equation of the line intercepts -3 and 2 on the X and Y-axes respectively.

If the line 3 x-2 y+6=0 meets x -axis and y -axis respectively at A and B , then the equation of the circle with radius A B and centre at A is

If a circle passes through the point (a, b) and cuts x^2+y^2=4 orthogonally, then the locus of its centre is :

A body is subjected to a constant force vecF in newton given by : vecF=2hati+9hatj+12hatk , where hati,hatj and hatk are unit vectors along x,y and z-axis respectively. What is the work done by this force in moving the body through a distance of 2 m along 2-axis ?

If A(2, -3) and B(-2, 1) are two vertices of a triangle and third vertex moves on the line 2x+3y=9 , then the locus of the centroid of the triangle is :

MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
  1. If two vertices of a triangle are (5, -1) and (-2, 3) and if orthocent...

    Text Solution

    |

  2. If the points (1, 2) and (3, 4) were to be on the same side of the lin...

    Text Solution

    |

  3. A straight rod of length 9 units slides with its ends A, B always on t...

    Text Solution

    |

  4. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance...

    Text Solution

    |

  5. A (1, 3) and C(7, 5) are two opposite vertices of a square. The equati...

    Text Solution

    |

  6. The diagonals of a parallelogram PQRS are along the line x+3y=4 and 6x...

    Text Solution

    |

  7. Let n be the number of points having rational co-ordinates equidistant...

    Text Solution

    |

  8. If the vertices of an equilateral triangle have rational co-ordinates...

    Text Solution

    |

  9. If the lines y=m(r )x, r=1, 2, 3 cut off equal intercepts on the trans...

    Text Solution

    |

  10. If a=(tan theta)/(tan 3theta), then the point P(a, a^(2)) :

    Text Solution

    |

  11. If two sides of a triangle are represented by : 2x-3y+4=0 and 3x+2y-...

    Text Solution

    |

  12. The distance of the point (1, 2) from the line x+y=0 measured parallel...

    Text Solution

    |

  13. If a, b, c are the pth, qth and rth terms of an H.P., then the lines b...

    Text Solution

    |

  14. If alpha beta gt 0, ab gt 0 and the variable line (x)/(a), (y)/(b)=1 i...

    Text Solution

    |

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

    Text Solution

    |

  16. If two vertices of an equilateral triangle have integral co-ordinates,...

    Text Solution

    |

  17. Let A(1, 2) and B(3, 4) be two points. Let C(x, y) be a point such th...

    Text Solution

    |

  18. If p, p' be the lengths of perpendicular from (0, 0) on the lines: x...

    Text Solution

    |

  19. The points P(2,3) , Q(3, 5), R(7, 7) and S(4, 5) are such that:

    Text Solution

    |

  20. If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are ...

    Text Solution

    |