Home
Class 12
MATHS
Consider an obtuse angled triangle ABC i...

Consider an obtuse angled triangle ABC in which the difference between the largest and the smallest angle is `pi/2` and whose sides are in arithmetic progression. Suppose that the vertices of this triangle lie on a circle of radius 1.
Let `a` be the area of the triangle ABC. Then the value of `(64 a)^2` is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise MATHEMATICS (SECTION -3)|4 Videos

  • MOCK TEST 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise Question|18 Videos

Similar Questions

Explore conceptually related problems

The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 4:3:8 is :

The angles A, B and C of a triangle ABC are in arithmetic progression. AB=6 and BC=7. Then AC is :

An isosceles triangle of vertical angle 2 theta is inscribed in a circle of radius a .Show that the area of the triangle is maximum when theta=(pi)/(6) .

The angles A, B and C of a triangle ABC are in arithmetic progression. If 2b^(2)=3c^(2) then the angle A is :

If the lengths of the sides of a right- angled triangle ABC, right angled at C, are in arithmetic progression, then the value of 5(sinA+sinB) is

The vertices of the triangle ABC are A(1, 2), B (0, 0) and C (2, 3), then the greatest angle of the triangle is

The sides of a right angled triangle are in arithmetic progression.If the triangle has area 24, then what is the length of its smallest side?

JEE ADVANCED PREVIOUS YEAR-JEE ADVANCED 2023-Question
  1. Consider the given data with frequency distribution {(xi,3,8,11,10,5...

    Text Solution

    |

  2. Let l1 and l2 be the lines vec r1= gamma (hati+ hatj +hat k ) and vecr...

    Text Solution

    |

  3. Let z be a complex number satisfying |z|^3 +2z^2 +4barz -8 =0 , where ...

    Text Solution

    |

  4. Let f:[1,oo) to RR be a differentiable function such that f(1)=1/3 and...

    Text Solution

    |

  5. Consider an experiment of tossing a coin repeatedly until the outcomes...

    Text Solution

    |

  6. For any y in RR , let cot^-1(y) in (0,pi) and tan^-1(y) in (-pi/2,pi/2...

    Text Solution

    |

  7. Let the position vectors of the points P ,Q, R and S be veca=hati +2ha...

    Text Solution

    |

  8. Let M = (a(ij)) , i , j in {1,2,3}, be the 3 xx 3 matrix such that a(i...

    Text Solution

    |

  9. Let f:(0,1) to RR be the function defined as f(x)=[4x](x-1/4)^2(x-1/2)...

    Text Solution

    |

  10. Let S be the set of all twice differentiable functions f from RR to RR...

    Text Solution

    |

  11. For x in RR let tan^-1(x) in (-pi/2 ,pi/2). Then the minimum value of ...

    Text Solution

    |

  12. For x in RR, let y(x) be a solution of the differential equation (x^2...

    Text Solution

    |

  13. Let X be the set of all five digit numbers formed using 1,2,2,2,4,4,0....

    Text Solution

    |

  14. Let A1, A2, A3, . . . ,A8 be the vertices of a regular octagon that li...

    Text Solution

    |

  15. Let R={((a,3,b),(c,2,d),(0,5,0)):a,b,c,d in {0,3,5,7,11,13,17,19}}. Th...

    Text Solution

    |

  16. Let C1 be the circle of radius 1 with center at the origin. Let C2 be ...

    Text Solution

    |

  17. Consider an obtuse angled triangle ABC in which the difference between...

    Text Solution

    |

  18. Consider an obtuse angled triangle ABC in which the difference between...

    Text Solution

    |

  19. Consider the 6 xx 6 square in the figure. Let A1,A2, . . .,A(49) be th...

    Text Solution

    |

  20. Consider the 6 xx 6 square in the figure. Let A1,A2, . . .,A(49) be th...

    Text Solution

    |