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

A

6

B

5

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
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. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  2. In a triangle ABC, right angled at A, on the leg AC as diameter, semic...

    Text Solution

    |

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

    Text Solution

    |

  4. The value of 'c' for which the set {(x, y)|x^2+y^2+2xle1}bigcap{(x, y)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If the curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 inters...

    Text Solution

    |

  8. The distance between the chords of contact of the tangent to the circl...

    Text Solution

    |

  9. The locus of the centre of a circle radius 2 which rolls on the outsid...

    Text Solution

    |

  10. If in a triangleABC (whose circumcentre is at origin), alesinA , then ...

    Text Solution

    |

  11. The point ([P + 1], [P]), (where [.] denotes the greatest integer func...

    Text Solution

    |

  12. Find the equation of the circle whose diameter is the line joining the...

    Text Solution

    |

  13. The circle x^2 + y^2 - 8x + 4y +4 = 0 touches

    Text Solution

    |

  14. The intercept on the line y = x by the circle x^2 + y^2 - 2x = 0 is ba...

    Text Solution

    |

  15. If the equation of a circle is 3x^2 + 3y^2 + kxy + 9x + (k - 6)y + 3 =...

    Text Solution

    |

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

    Text Solution

    |

  17. If the circle x^2+y^2+6x+8y+a=0 bisects the circumference of the circl...

    Text Solution

    |

  18. If a chord of a circle x^2 + y^2 =32 makes equal intercepts of length ...

    Text Solution

    |

  19. The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2...

    Text Solution

    |

  20. The equations of the tangents to the circle x^2 + y^2 = 25 which are i...

    Text Solution

    |