Home
Class 12
MATHS
Let A be a fixed point (0,6) and B be a ...

Let A be a fixed point (0,6) and B be a moving point (2t,0). Let M be the mid-point of AB and the perpendicular bisector of AB meets the y-axis at C. The locus of the mid-point P of MC is :

A

`2x^(2)-3y+9=0`

B

`3x^(2)+2y-6=0`

C

`3x^(2)-2y-6=0`

D

`2x^(2)+3y-9=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section B)|50 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section B|20 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

A(0,6) and B(2t,0), where t is a parameter midpoint of A and B is M. perpendicular bisector of AB cuts y-axis at C then Find the locus of midpoint of MC

Let A3(0,4) and Bs(21,0)in R. Let the perpendicular bisector of AB at M meet the y- axis at R. Then the locus of midpoint P of MR is y=x^(2)+21

Let P be the point (-3,0) and Q be a moving point (0,3t). Let PQ be trisected at R so that R is nearer to Q. RN is drawn perpendicular to PQ meeting the x-axis at N. The locus of the mid-point of RN is

let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The locus of the midpoint of PQ is

If C is the mid-point of AB and P is any point outside AB, then

A straight line through the point (1,1) meets the X-axis at A and Y-axis at B. The locus of the mid-point of AB is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics (Section A)
  1. The distance of the point (1,-2,3) from the plane x-y+z=5 measured par...

    Text Solution

    |

  2. When a certain biased die is rolled, a particular face occurs with pro...

    Text Solution

    |

  3. Let A be a fixed point (0,6) and B be a moving point (2t,0). Let M be ...

    Text Solution

    |

  4. If x^(2)+9y^(2)-4x+3=0, x,y in RR, then x and y respectively lie in th...

    Text Solution

    |

  5. Let us consider a curve, y=f(x) passing through the point (-2,2) and t...

    Text Solution

    |

  6. sum(k=0)^(20)(.^(20)C(k))^(2) is equal to

    Text Solution

    |

  7. If for x,y in R, x gt 0, y=log(10)x+log(10)x^(1//3)+log(10)x^(1//9)+.....

    Text Solution

    |

  8. If S={z in CC : (z-i)/(z+2i) in RR}, then

    Text Solution

    |

  9. A wire of length 20m is to be cut into two pieces. One of the pieces i...

    Text Solution

    |

  10. int(0)^(16)(log(e )x^(2))/(log(e )x^(2)+log(e )(x^(2)-44x+484))dx is e...

    Text Solution

    |

  11. If 0 lt x lt 1, then (3)/(2)x^(2)+(5)/(3)x^(3)+(7)/(4)x^(4)+.............

    Text Solution

    |

  12. If the matrix A=({:(0,2),(K,-1):}) satisfies A(A^(3)+3I)=2I, then then...

    Text Solution

    |

  13. If alpha,beta are the distinct roots of x^(2)+bx+c=0, then lim(x to be...

    Text Solution

    |

  14. Let y=y(x) be the solution of the differential equation (dy)/(dx)=2(y+...

    Text Solution

    |

  15. Let (sinA)/(sinB)=(sin(A-C))/(sin(C-B)), where A , B, C are angles of ...

    Text Solution

    |

  16. The statement (p^^(p to q) ^^ (q to r)) to r is

    Text Solution

    |

  17. If (sin^(-1)x)^(2)-(cos^(-1)x)^(2)=a , 0 lt x lt 1, a ne 0, then the v...

    Text Solution

    |

  18. Equation of a plane at a distance sqrt((2)/(21)) from the origin which...

    Text Solution

    |

  19. Each of the persons A and B independently tosses three fair coins....

    Text Solution

    |

  20. The set of all values of k gt -1 for which the equation (3x^(2) +4...

    Text Solution

    |