Home
Class 12
MATHS
If in a DeltaABC (whose circumcentre i...

If in a `DeltaABC` (whose circumcentre is at the origin), `a leq sinA` , then for any point `(x,y)` insidethe circumcircle of `DeltaABC`, we have

A

`|xy|lt1//8`

B

`|xy| gt 1//8`

C

`1//8 lt xy lt 1//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

If in a Delta ABC (whose circumcentre is at the origin,a<=sin A, then for any point (x,y) insidethe circumcircle of Delta ABC, we have

In DeltaABC , equation of side BC is x+y-6=0, also the circumcentre and orhtocentre are (3, 1) and (2, 2) respectively, then the equation of the circumcircle of DeltaABC is

In DeltaABC,angleA=90^(@) and the co-ordinates of points B and C are (2,-4) and (1,5) . Find the equation of the circumcircle of Delta ABC .

In Delta ABC orthocentre is (6,10) circumcentre is (2,3) and equation of side BC is 2x+y=17. Then the radius of the circumcircle is

Suppose a parabola y = x^(2) - ax-1 intersects the coordinate axes at three points A,B and C, respectively. The circumcircle of DeltaABC intersects the y-axis again at the point D(0,t) . Then the value of t is

Internal bisectors of DeltaABC meet the circumcircle at point D, E, and F Area of DeltaDEF is

Let the circumcentre of DeltaABC is S (-1,0) and the midpoints of sides AB and AC are E(1,-2) and F(-2,1) respectively , then the equation of the circumcircle of DeltaABC us

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. Three sided of a triangle have equations L1-=y-mi x=o; i=1,2a n d3. Th...

    Text Solution

    |

  2. if y = mx is a chord of a circle of radius a and the diameter of the c...

    Text Solution

    |

  3. 18. The straight lines joining the origin to the points of intersectio...

    Text Solution

    |

  4. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  5. If the chord of contact of tangents from a point (x1, y1) to the circl...

    Text Solution

    |

  6. The circle S1 with centre C1 (a1, b1) and radius r1 touches externall...

    Text Solution

    |

  7. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  8. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

    Text Solution

    |

  9. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

    Text Solution

    |

  10. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

    Text Solution

    |

  11. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

    Text Solution

    |

  12. If in a DeltaABC (whose circumcentre is at the origin), a leq sinA ,...

    Text Solution

    |

  13. If P is a point such that the ratio of the squares of the lengths of t...

    Text Solution

    |

  14. If C(1),C(2),C(3),... is a sequence of circles such that C(n+1) is the...

    Text Solution

    |

  15. If r1a n dr2 are the radii of the smallest and the largest circles, re...

    Text Solution

    |

  16. The radical centre of three circles described on the three sides x+y=5...

    Text Solution

    |

  17. If theta is the angle between the two radii (one to each circle) drawn...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+c(1)=0" and "bx^(2)+by^(2)+2g(...

    Text Solution

    |