Home
Class 12
MATHS
If length of the common chord of the cir...

If length of the common chord of the circles `x^2 + y^2 + 2x + 3y + 1 = 0 and x^2 + y^2 + 4x + 3y + 2 = 0` then the value of `[a].` (where [ - ] denotes greatest integer function)

A

`(9)/(2)`

B

`(3)/(2)`

C

`3sqrt(2)`

D

`2sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

If length of the common chord of the circles x^(2)+y^(2)+2x+3y+1=0 and x^(2)+y^(2)+4x+3y+2=0 then the value of [a]. (where [-1] denotes greatest integer function)

The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)+4y-1=0 , is

If y=3[x]+5 and y=2[x-1]+9 then value of [x+y] is (where [.] denotes greatest integer function)

Find the length of the common chord of the circles x^(2)+y^(2)+2x+6y=0 and x^(2)+y^(2)-4x-2y-6=0

The length of the common chord of the two circles x^(2)+y^(2)-4y=0 and x^(2)+y^(2)-8x-4y+11=0 is

The lenght of the common chord of circles x^(2)+y^(2)-6x-16=0 and x^(2)+y^(2)-8y-9=0 is

The length of the common chord of the circles x^(2)+y^(2)-2x+4y-20=0,x^(2)+y^(2)+6x+10y-2=0

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. Locus of middle point of intercept of any tangent with respect to the ...

    Text Solution

    |

  2. If the circle x^(2) + y^(2) + 4x + 2y + c = 0 bisects the cirucumferen...

    Text Solution

    |

  3. If length of the common chord of the circles x^2 + y^2 + 2x + 3y + 1 =...

    Text Solution

    |

  4. The distance between the chords of contact of tangents to the circle x...

    Text Solution

    |

  5. Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. The...

    Text Solution

    |

  6. Through a fixed point (h, k) secants are drawn to the circle x^(2) + y...

    Text Solution

    |

  7. The equation of circle passing through the point (1, 1) and point of i...

    Text Solution

    |

  8. Show that the area of the triangle formed by the pósitive x-axis and t...

    Text Solution

    |

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

    Text Solution

    |

  10. Obtain the equation of the circle orthogonal to both the circles x^2+y...

    Text Solution

    |

  11. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

    Text Solution

    |

  12. If centre of a circle lies on the line 2x - 6y + 9 =0 and it cuts the ...

    Text Solution

    |

  13. Locus of thews of the centre of the circle which touches x^2+y^2 - 6x-...

    Text Solution

    |

  14. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  15. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  16. If the chord of contact of the tangents drawn from a point on the c...

    Text Solution

    |

  17. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  18. A circle of constant radius 2r passes through the origin and meets the...

    Text Solution

    |

  19. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |

  20. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |