Home
Class 11
MATHS
If the angle of intersection of the circ...

If the angle of intersection of the circle `x^2+y^2+x+y=0` and `x^2+y^2+x-y=0` is `theta` , then the equation of the line passing through (1, 2) and making an angle `theta` with the y-axis is (A) `x=1` (B) `y=2` (C) `x+y=3` (D) `x-y=3`

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 angle of intersection of the curve x^2+y^2-4x-1=0 and x^2+y^2-2y-9=0 .

The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

The circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of :

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , then find the equation of the circle on A B as diameter.

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equation of a curve passing through (0,1) and having gradient (-(y+y^3))/(1+x+x y^2) at (x , y) .

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

The acute angle between the line 3x-4y=5 and the circle x^2+y^2-4x+2y-4=0 is theta . Then find the value of 9costheta .

If theta is the angle between the lines given by the equation 6x^2+5x y-4y^2+7x+13 y-3=0 , then find the equation of the line passing through the point of intersection of these lines and making an angle theta with the positive x-axis.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The equation of the circumcircle of an equilateral triangle is x^2+y^2...

    Text Solution

    |

  2. A circle with radius |a| and center on the y-axis slied along it and a...

    Text Solution

    |

  3. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

    Text Solution

    |

  4. The range of values of alpha for which the line 2y=gx+alpha is a norma...

    Text Solution

    |

  5. Consider a circle x^2+y^2+a x+b y+c=0 lying completely in the first q...

    Text Solution

    |

  6. The equation of the circle passing through the point of intersection ...

    Text Solution

    |

  7. The centres of a set of circles, each of radius 3 , lie on the circle ...

    Text Solution

    |

  8. The co-ordinates of two points P and Q are (x1,y1) and (x2,y2) and O i...

    Text Solution

    |

  9. The area of the triangle formed by the positive x-axis, and the normal...

    Text Solution

    |

  10. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

    Text Solution

    |

  11. Let AB be a chord of the circle x^2 + y^2 = r^2 Subtending a right ang...

    Text Solution

    |

  12. Let P Qa n dR S be tangent at the extremities of the diameter P R of a...

    Text Solution

    |

  13. Let A B be chord of contact of the point (5,-5) w.r.t the circle x^2+y...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |