Home
Class 11
MATHS
Find the length of the chord x^2+y^2-4y=...

Find the length of the chord `x^2+y^2-4y=0` along the line `x+y=1.` Also find the angle that the chord subtends at the circumference of the larger segment.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

Find the length of the chord intercepted by the circle x^2+y^2-6x+8y-5=0 on the line 2x-y=5.

The length of the chord cut off by y=2x+1 from the circle x^2+y^2=2 is

If the length of focal chord of y^2=4a x is l , then find the angle between the axis of the parabola and the focal chord.

Find the middle point of the chord of the circle x^2+y^2=25 intercepted on the line x-2y=2

Find the length of the chord of the ellipse x^2/25+y^2/16=1 , whose middle point is (1/2,2/5) .

Find the length of the common chord of the parabola y^2=4(x+3) and the circle x^2+y^2+4x=0 .

If the chord u=mx +1 of the circel x ^(2) +y^(2)=1 subtends an angle of 45^(@) at the major segment of the circle, then the value of m is-

Find the locus of the midpoint of the chords of the parabola y^2=4ax .which subtend a right angle at the vertex.

If the length of the common chord of circle x^2+y^2=4 and y^2=4(x-h) is maximum, then find the value of h .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Prove that for all values of theta , the locus of the point of interse...

    Text Solution

    |

  2. The chord of contact of tangents from a point P to a circle passes thr...

    Text Solution

    |

  3. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

    Text Solution

    |

  4. The chords of contact of tangents from three points A ,Ba n dC to the ...

    Text Solution

    |

  5. Tangents are drawn to the circle x^2+y^2=a^2 from two points on the ax...

    Text Solution

    |

  6. The common chord of the circle x^2+y^2+6x+8y-7=0 and a circle passing ...

    Text Solution

    |

  7. P is the variable point on the circle with center at C. C A and C B ar...

    Text Solution

    |

  8. If the angle between the tangents drawn to x^2+y^2+2gx+2fy+c=0 from (0...

    Text Solution

    |

  9. Find the locus of center of circle of radius 2 units, if intercept cut...

    Text Solution

    |

  10. Any circle through the point of intersection of the lines x+sqrt(3)y=1...

    Text Solution

    |

  11. A straight line moves so that the product of the length of the perp...

    Text Solution

    |

  12. The number of such points (a+1,sqrt3a), where a is any integer, lying...

    Text Solution

    |

  13. A tangent is drawn to each of the circles x^2+y^2=a^2 and x^2+y^2=b^2d...

    Text Solution

    |

  14. Perpendiculars are drawn, respectively, from the points Pa n dQ to the...

    Text Solution

    |

  15. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

    Text Solution

    |

  16. Find the center of the smallest circle which cuts circles x^2+y^2=1 an...

    Text Solution

    |

  17. A point moves so that the sum of the squares of the perpendiculars let...

    Text Solution

    |

  18. From a point P on the normal y=x+c of the circle x^2+y^2-2x-4y+5-lambd...

    Text Solution

    |

  19. The circle x^2+y^2-4x-4y+4=0 is inscribed in a variable triangle O A B...

    Text Solution

    |

  20. The line 9x+y-18=0 is the chord of contact of the point P(h , k) wit...

    Text Solution

    |