Home
Class 12
MATHS
A(3,0) and B(6,0) are two fixed points a...

A(3,0) and B(6,0) are two fixed points and U(`x_1,y_1`) is a variable point of the plane .AU and BU meets the y axis at C and D respectively and AD meets OU at V. Then for any position of U in the plane CV passes through fixed point (p,q) whose distance from origin is

A

`(2,-1)`

B

`((9)/(2),0)`

C

`(2,-1)`

D

`(2,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise OBJECTIVE|84 Videos
  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a fixed point. write the coordinates of that point.

Two point charges +q and -q are held fixed at (-d,o) and (d,0) respectively of a x-y coordinate system. Then

Let A and B be two points on y^(2)=4ax such that normals to the curve at A and B meet at point C, on the curve, then chord AB will always pass through a fixed point whose coordinates, are

A tangent and a normal to a curve at any point P meet the x and y axes at A,B and C,D respectively.Find the equation of the curve passing through (1,0) if the centre of circle through O.C,P and B lies on the line y=x (where O is the origin).

A variable circle passes through the fixed point (2,0) and touches y-axis then the locus of its centre is

Q is the image of point P(1,-2,3) with respect to the plane x-y+z=7. The distance of Q from the origin is.

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. Given a fixed circle C and a line L through the centre O of C. Take a ...

    Text Solution

    |

  2. Locous of the intersection of perpendicular tangents drawn to the curv...

    Text Solution

    |

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

    Text Solution

    |

  4. Two lines 5x+3^alphay=1 and alphax-y=0 are perpendicular to each other...

    Text Solution

    |

  5. The point on the curve y = x ^(2) + 4x + 3 which is nearest from the l...

    Text Solution

    |

  6. Consider the parabola x ^(2) + 4x - 2y + 6 = 0. If its chord AB 2mx - ...

    Text Solution

    |

  7. For x in R, the maximum value of sqrt(x^4 - 5x^2 – 8x + 25) - sqrt( x^...

    Text Solution

    |

  8. How many tangents to the circle x^2 + y^2 = 3 are normal tothe ellips...

    Text Solution

    |

  9. If the line x + y -1=0 is a tangent to a parabola with focus (1,2) at ...

    Text Solution

    |

  10. P is a point on the parabola y^2= 4ax and PQ is its focal chord. If PT...

    Text Solution

    |

  11. Let A be the area between co-ordinate axis, y ^(2) =x -1,x ^(2) =y -1 ...

    Text Solution

    |

  12. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

    Text Solution

    |

  13. Consider the ellipse x^2/3 + y^2/1 = 1. Let P,Q,R,S be four points on ...

    Text Solution

    |

  14. If the curve (x ^(2))/(a ^(2)) + ( y ^(2))/(k^(2) a ^(2)) =1 and (x -g...

    Text Solution

    |

  15. If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and ...

    Text Solution

    |

  16. If (sqrt2 cos x + sqrt2 sin x + sqrt7) m =1 holds then

    Text Solution

    |

  17. sin x + cos x = y ^(2) -y + a has no value of x for any y if 'a' belon...

    Text Solution

    |

  18. The solution set of inequality (tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+...

    Text Solution

    |

  19. An electric pole stands at the vertex A of the equilateral triangular ...

    Text Solution

    |

  20. A pole on the ground leans 60^(@) to the vertical. At a point a meters...

    Text Solution

    |