Home
Class 11
MATHS
An isosceles triangle ABC inscribed in a...

An isosceles triangle ABC inscribed in a circle `x^2+y^2=a^2` with the vertex A at (a,0) and the base angle B and C each equal to `75^@` , then coordinates of an point of the base are

A

`(-sqrt(3a/2),a/2)`

B

`(-sqrt(3a)/2,a)`

C

`(a/2,sqrt(3a)/2)`

D

`(- sqrt(3a)/2,-a/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

An isosceles triangle with base 24 and legs 15 each is inscribed in a circle . Find the radius

The isosceles triangle ABC is inscribed in the circle with centre at O.If AP be a diamtere passing through A, then show that AP is internal bisector of angle BPC .

The isosceles triangle ABC is inscribed in a circle with centre at O. If AP is a diameter of the circle. Then prove that AP is the bisetors of angle BPC .

The coordinates of the vertex A of the triangle ABC are (2,5), if the centroid of the triangle is at (-2, 1), then the coordinates of the mid-point of the side BC are-

The triangle PQR is inscribed in the circle x^2+y^2=25 . If Q and R have coordinates (3,4) and (-4,3) respectively, then angleQPR is equal to

ABC is an isosceles triangle inscribed in a circle of radius rdot If A B=A C and h is the altitude from A to B C , then triangle A B C has perimeter P=2(sqrt(2h r-h^2)+sqrt(2h r)) and area A= ____________ and = __________ and also ("lim")_(h vec 0) A/(P^3)=______

A right-angled triangle A B C is inscribed in parabola y^2=4x , where A is the vertex of the parabola and /_B A C=pi/2dot If A B=sqrt(5), then find the area of A B Cdot

Find the area of an equilateral triangle inscribed in the circle x^2 + y^2 + 2gx + 2fy + c = 0

An equilateral teiangle is inscribed in the parabola y^(2)=x whose one vertex is the vartex of the parabola. Then the length of a side of the triangle is-

Find the maximum area of an isosceles triangle inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with its vertex at one end of the major axis.

PATHFINDER-CIRCLE-QUESTION BANK
  1. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-...

    Text Solution

    |

  6. If the points (0,0),(1,0),(0,1) and (t,t) are concyclic, then t=

    Text Solution

    |

  7. If a circle of constant radius 3K passes through the origin and meets ...

    Text Solution

    |

  8. The equation of the circle which touches the axis of y at the origin a...

    Text Solution

    |

  9. Area of the circle in which a chord of length sqrt2 makes an angle pi/...

    Text Solution

    |

  10. The greatest distance of the point P (10,7) from the circle x^2+y^2-4x...

    Text Solution

    |

  11. The length of the chord cut off by y=2x+1 from the circle x^2+y^2=2 is

    Text Solution

    |

  12. The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...

    Text Solution

    |

  13. If the line hx+ky=1 touches x^2+y^2=a^2 , then the locus of the point ...

    Text Solution

    |

  14. The number of tangents that can be drawn from the point (8,6) to the c...

    Text Solution

    |

  15. If the point (k+1,k) lies inside the region bound by the curve x=sqrt(...

    Text Solution

    |

  16. The tangents drawn from the origin x^2+y^2+2gx+2fy+f^2=0 are perpendic...

    Text Solution

    |

  17. Two circles with radii a and b touch each other externally such that t...

    Text Solution

    |

  18. If (a,0) is a point on a diameter of the circle x^2+y^2=4, then x^2-4x...

    Text Solution

    |

  19. If (alpha ,beta) is a point on the circle whose centre is on the x-axi...

    Text Solution

    |

  20. Three concentrict circles of which the biggest is x^2+y^2=1 , have the...

    Text Solution

    |