Home
Class 12
MATHS
Tangents P A and P B are drawn to x^2+y^...

Tangents `P A` and `P B` are drawn to `x^2+y^2=9` from any arbitrary point `P` on the line `x+y=25` . The locus of the midpoint of chord `A B` is `25(x^2+y^2)=9(x+y)` `25(x^2+y^2)=3(x+y)` `5(x^2+y^2)=3(x+y)` `non eoft h e s e`

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-1|90 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary point P on the line x+y=1 . Then vertex of locus of midpoint of chord AB is

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

Tangents are drawn to x^(2)+y^(2)=1 from any arbitrary point P on the line 2x+y-4=0 .Prove that corresponding chords of contact pass through a fixed point and find that point.

Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 parallel to y = 2x.

From the points (3, 4), chords are drawn to the circle x^2+y^2-4x=0 . The locus of the midpoints of the chords is (a) x^2+y^2-5x-4y+6=0 (b) x^2+y^2+5x-4y+6=0 (c) x^2+y^2-5x+4y+6=0 (d) x^2+y^2-5x-4y-6=0

The locus of the middle points of chords of the circle x^(2)+y^(2)=25 which are parallel to the line x-2y+3=0 , is

Describe the locus of the point (x, y) satisfying the equation (x-2)^2 + (y-3)^2 =25

P lies on the line y=x and Q lies on y= 2x . The equation for the locus of the mid point of PQ, if |PQ| = 4 , is 25x^2 - lambda xy + 13y^2 = 4 , then lambda equals

From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn to the circle x^2+y^2=1 , which meet x^2+y^2=9 at A and B . The locus of the point of intersection of tangents at A and B to the circle x^2+y^2=9 is (a) x^2+y^2=((27)/7)^2 (b) x^2-y^2((27)/7)^2 y^2-x^2=((27)/7)^2 (d) none of these

VMC MODULES ENGLISH-CIRCLES-LEVEL-2
  1. A chord AB of circle x^(2) +y^(2) =a^(2) touches the circle x^(2) +y^(...

    Text Solution

    |

  2. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |

  3. Tangents P A and P B are drawn to x^2+y^2=9 from any arbitrary point P...

    Text Solution

    |

  4. The equation of the circle on the common chord of the circles (x-a)^(2...

    Text Solution

    |

  5. Find the equaiton of the circle passing through the point (2, 8), touc...

    Text Solution

    |

  6. The tangent to the circle x^2+y^2=5 at (1,-2) also touches the circle ...

    Text Solution

    |

  7. Show that a cyclic quadrilateral is formed by the lines 5x+3y=9,x=3y ,...

    Text Solution

    |

  8. The equation of the circle and its chord are-respectively x^2 + y^2 =...

    Text Solution

    |

  9. Angle between tangents drawn to x^(2) +y^(2) -2x -4y +1=0 at the poin...

    Text Solution

    |

  10. If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the ...

    Text Solution

    |

  11. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |

  14. A line is tangent to a circle if the length of perpendicular from the ...

    Text Solution

    |

  15. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  16. The locus of a point which moves such that the tangents from it to the...

    Text Solution

    |

  17. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through P(a, n) cuts the c...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. A variable circle always touches the line y =x and passes through th...

    Text Solution

    |

  20. If a circle passes through the points of intersection of the lines 2x-...

    Text Solution

    |