Home
Class 11
MATHS
The circles x^2+y^2+x+y=0and x^2+y^2+x-y...

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

A

`pi/6`

B

`pi/4`

C

`pi/3`

D

`pi/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

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

If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersects at points P and Q , then find the values of a for which the line 5x+b y-a=0 passes through Pa n dQdot

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

The circle x^2+y^2-8x = 0 and hyperbola x^2 /9 - y^2 /4=1 intersect at the points A and B. Then the equation of the circle with AB as its diameter is

The circles x^(2)+y^(2)-10x+16=0 and x^(2)+y^(2)=a^(2) intersect at two distinct points if

The equation of the line inclined at an angle of pi/4 to the x-axis ,such that the two circles x^2+y^2=4 and x^2+y^2 -10 x-14 y+65=0 intercept equal length on it, is (A) 2x-2y-3=0 (B) 2x-2y+3=0 (C) x-y+6=0 (D) x-y-6=0

The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 I intersect at the points A and B. Equation of a common tangent with positive slope to the circle as well as to the hyperbola is (A) 2x-sqrt5y-20=0 (B) 2x-sqrt5y+4=0 (C) 3x-4y+8=0 (D) 4x-3y+4=0

A circle through the common points of the circles x^2+y^2-x+7y-3=0 and x^2+y^2-5x+y+1=0 has its centre on the line x+y=0.Find the equations of the circle.

If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in two distinct points then

The line y = mx intersects the circle x^(2)+y^(2) -2x - 2y = 0 and x^(2)+y^(2) +6x - 8y =0 at point A and B (points being other than origin). The range of m such that origin divides AB internally is

PATHFINDER-CIRCLE-QUESTION BANK
  1. A line is drawn through a fixed point P(alpha,beta)to cut the circle x...

    Text Solution

    |

  2. The condition that the chord xcos alpha +ysin alpha -p=0 of x^2+y^2-a^...

    Text Solution

    |

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

    Text Solution

    |

  4. The length of the tangent of the circle x^2+y^2-2x-y -7 = 0 from the p...

    Text Solution

    |

  5. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

    Text Solution

    |

  6. The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Consider a family of circle which are passing through the point (-1,1)...

    Text Solution

    |

  10. If r1and r2 are the radii of smallest and largest circles which passes...

    Text Solution

    |

  11. The two circles which passes through (0,a) and (0,-a) and touch the li...

    Text Solution

    |

  12. Area of the triangle formed by the positive x-axis and the normal and ...

    Text Solution

    |

  13. if the distances from the origin to the centre of three circles x^2+y^...

    Text Solution

    |

  14. AB is a diameter of a circle and 'C' is any point on the circumference...

    Text Solution

    |

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

    Text Solution

    |

  16. A circle touches the x-axis and also touches the circle with centre (0...

    Text Solution

    |

  17. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  18. The difference between the radii of the largest and the smallest circl...

    Text Solution

    |

  19. An isosceles triangle ABC inscribed in a circle x^2+y^2=a^2 with the v...

    Text Solution

    |

  20. The equation of circumcircle of an equilateral triangle is x^2+y^2+2gx...

    Text Solution

    |