Home
Class 12
MATHS
If the pair of lines ax^2+2(a+b)xy+by^2=...

If the pair of lines `ax^2+2(a+b)xy+by^2=0` lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then

A

`3a^(2)+10ab+3b^(2)=0`

B

`3a^(2)+2ab+3b^(2)=0`

C

`3a^(2)-10ab+3b^(2)=0`

D

`3a^(2)-2ab+3b^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|21 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

If the pair of lines ax^(2)+2(a+b)xy+by^(2)=0 lie along diameters of a circle and divide the circle into four setors such that the area of one of the sectors is thrice the area of another sector then

Radius of a sector of a circle is 7 cm. If measure of arc of the sector is 30^(@) find the area of the sector

Radius of a sector of a circle is 7 cm. If measure of arc of the sector is three right angles, find the area of the sector in each case.

Find the area of a sector of a circle with radius 6cm if angle of the sector is 60^(@)

Radius of a sector of a circle is 3.5 cm and length of its arc is 2.2 cm. Find the area of the sector.

The radius of a circle is 14 cm and the area of the sector is 102.7 cm^(2) . Find the central angle of the sector.

Radius of a sector of a circle is 21 cm. If length of arc of that sector is 55 cm, find the area of the sector.

The ratio of the area of a sector of a circle to the area of the circle is 1:4. If the area of the circle is 154 cm^2 , the perimeter of the sector is

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -QUESTIONS FROM PREVIOUS YEARS. (AIEEE/JEE MAIN PAPERS)
  1. If a vertex of a triangle is (1, 1) and the mid-points of two side thr...

    Text Solution

    |

  2. If a,b,c are non-zero real numbers in H.P then the line (x)/(a)+(y)/(...

    Text Solution

    |

  3. If the pair of lines ax^2+2(a+b)xy+by^2=0 lie along diameters of a cir...

    Text Solution

    |

  4. A straight line through the point A(3, 4) is such that its intercept b...

    Text Solution

    |

  5. Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled ...

    Text Solution

    |

  6. Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...

    Text Solution

    |

  7. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

    Text Solution

    |

  8. The perpendicular bisector of the line segment joining P (1, 4) and...

    Text Solution

    |

  9. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  10. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  11. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |

  12. The lines x + y=|a| and ax-y = 1 intersect each other in the first qua...

    Text Solution

    |

  13. IfA(2,-3) and B(-2, 1) are two vertices of a triangle and third vertex...

    Text Solution

    |

  14. If the line 2x + y = k passes through the point which divides the line...

    Text Solution

    |

  15. A line is drawn through the point (1, 2) to meet the coordinate axes ...

    Text Solution

    |

  16. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reachin...

    Text Solution

    |

  17. Equation of the line passing through the points of imtersection of the...

    Text Solution

    |

  18. A light ray emerging from the point source placed at P(1,3) is reflect...

    Text Solution

    |

  19. If the three lines x-3y = p, ax + 2y = q and ax + y = r from a right-a...

    Text Solution

    |

  20. The x-coordinate of the incentre of the triangle that has the coord...

    Text Solution

    |