Home
Class 11
MATHS
A circle of radius 5 units has diameter ...

A circle of radius 5 units has diameter along the angle bisector of the lines `x+y=2` and `x-y=2.` If the chord of contact from the origin makes an angle of `45^0` with the positive direction of the x-axis, find the equation of the circle.

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 equation of the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of 30^0 with the positive direction of the x-axis.

Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^(@) with positive direction of the x-axis.

The magnitude of the angle which the line y=-x makes with the positive direction of the x axis is -

Find the angle which a line perpendicular to the line x-y+1=0 makes with the positive direction of the x axis.

A circle of radius 5 units touches co-ordinates axes the first quadrant. If the circle makes one complete roll on axis along the positive direction of x-axis along the positive direction of x-axis, find its equation in the new position.

Find the point in the first quadrant and lying on the hyperbola 5x^(2)-3y^(2)=-6 at which the tangent to the hyperbola makes an angle 45^(@) with the positive direction of the x-axis.

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

Find the distance from the point P(4,1) to the line 4x-y=0 measured along the line making and angle 135^(@) with the positive direction of x-axis.

If the two straight lines 3x - 2y = 8 and 2x - y = 5 lie along two diameters of a circle, which touches the x-axis, find the equation of the circle.

a straight line makes an angle 45^@ with positive direction of x-axis and 60^@ with positive direction of z-axis. If the line makes and angle theta with positive direction of y-axis then theta is equal to-

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let A B be chord of contact of the point (5,-5) w.r.t the circle x^2+y...

    Text Solution

    |

  2. If eight distinct points can be found on the curve |x|+|y|=1 such that...

    Text Solution

    |

  3. A circle of radius 5 units has diameter along the angle bisector of th...

    Text Solution

    |

  4. A circle of radius 1 unit touches the positive x-axis and the positive...

    Text Solution

    |

  5. The number of rational point(s) [a point (a, b) is called rational, if...

    Text Solution

    |

  6. AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...

    Text Solution

    |

  7. Two parallel tangents to a given circle are cut by a third tangent at ...

    Text Solution

    |

  8. If the equation of any two diagonals of a regular pentagon belongs t...

    Text Solution

    |

  9. If O Aa n dO B are equal perpendicular chords of the circles x^2+y^2...

    Text Solution

    |

  10. A B C D is a square of unit area. A circle is tangent to two sides of ...

    Text Solution

    |

  11. Ba n dC are fixed points having coordinates (3, 0) and (-3,0), respe...

    Text Solution

    |

  12. A straight line with slope 2 and y-intercept 5 touches the circle x^2+...

    Text Solution

    |

  13. A pair of tangents are drawn to a unit circle with centre at the origi...

    Text Solution

    |

  14. A line meets the co-ordinate axes in A and B. A circle is circumscribe...

    Text Solution

    |

  15. A circle of constant radius a passes through the origin O and cuts the...

    Text Solution

    |

  16. The equation of the line inclined at an angle of pi/4 to the x-axis ,s...

    Text Solution

    |

  17. If a circle of constant radius 3K passes through the origin and meets ...

    Text Solution

    |

  18. A straight line l1 with equation x-2y+10=0 meets the circle with equat...

    Text Solution

    |

  19. Let C be a circle with two diameters intersecting at an angle of 30^0d...

    Text Solution

    |

  20. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

    Text Solution

    |