Home
Class 11
MATHS
The area of the triangle formed by joini...

The area of the triangle formed by joining the origin to the points of intersection of the line `sqrt5x+2y=3sqrt5` and circle `x^2+y^2=10` is

Text Solution

Verified by Experts

5
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

Find the point(s) of intersection of the line 2x + 3y = 18 and the circle x^2 + y^2 = 25

The angle between the lines joining the origin to the points of intersection of the line sqrt3x+y=2 and the curve y^(2)-x^(2)=4 is

Find the condition for which the lines joining the origin to the points of intersection of the line y= mx+c and the circle x^2+y^2=a^2 will be mutually bot

Prove that the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2 with the curve x^2+2x y+3y^2+4x+8y-11=0 is tan^(-1)((2sqrt(2))/3)

Find the equation of the bisectors of the angles between the lines joining the origin to the point of intersection of the straight line x-y=2 with the curve 5x^2+11 x y+8y^2+8x-4y+12=0

Prove that the pair of straight lines joining the origin to the points of intersection of the circles x^2+y^2=a and x^2+y^2+2(gx+fy)=0 is a^(prime)(x^2+y^2)-4(gx+fy)^2=0

Find the angle between the straight lines joining the origin to the point of intersection of 3x^2+5x y-3y^2+2x+3y=0 and 3x-2y=1

The pair of straight lines joining the origin to the points of intersection of X^2+Y^2=4 and y=3X +c are perpendicular, if frac(c^2)(4) =

The locus of point of intersection of the lines y+mx=sqrt(a^2m^2+b^2) and my-x=sqrt(a^2+b^2m^2) is

The lines joining the origin to the point of intersection of The lines joining the origin to the point of intersection of 3x^2+m x y=4x+1=0 and 2x+y-1=0 are at right angles. Then which of the following is not a possible value of m ? -4 (b) 4 (c) 7 (d) 3

PATHFINDER-CIRCLE-QUESTION BANK
  1. The line joining (5, 0) to (10 cos theta, 10 sin theta) is divided int...

    Text Solution

    |

  2. C1 is a circle with centre at the origin and radius equal to 'r' and C...

    Text Solution

    |

  3. The area of the triangle formed by joining the origin to the points of...

    Text Solution

    |

  4. A circle touches the X-axis and also touches the circle with centre (0...

    Text Solution

    |

  5. The polar equation of the circle with centre (2, pi/2) and radius 3, i...

    Text Solution

    |

  6. Two straight lines rotate about two fixed points. If they start from t...

    Text Solution

    |

  7. The side of a square are x = 1, x = 3, y = 2 and y = 4. Find the equat...

    Text Solution

    |

  8. The circle x^2 + y^2 - 4x - 8y + 16 = 0 rolls up along the tangent to ...

    Text Solution

    |

  9. If lx + my = 1 touches the circle x^2 + y^2 = a^2, prove that the poin...

    Text Solution

    |

  10. Find the equations of the tangents drawn from the point A(3, 2) to the...

    Text Solution

    |

  11. Find the value of alpha for which the point (alpha, alpha + 2) is an i...

    Text Solution

    |

  12. Prove that the tangent to the circle x^2 + y^2 - 8x + 6y + 20 = 0 and ...

    Text Solution

    |

  13. Find the equation of the circle which passes through (1, 1) and cuts o...

    Text Solution

    |

  14. A variable circle passes through the point A(a, b) and touches the x-a...

    Text Solution

    |

  15. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

    Text Solution

    |

  16. The locus of the centre of the circle of radius 2 which rolls on the i...

    Text Solution

    |

  17. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

    Text Solution

    |

  18. The circle described on the line joining the points (0,1),(a,b) as dia...

    Text Solution

    |

  19. The centre of a circle passing through the points (0,0),(1,0)and touch...

    Text Solution

    |

  20. One of the diameter of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |