Home
Class 12
MATHS
If AB is a diameter of a circle and C is...

If AB is a diameter of a circle and C is any point on the circle, then show that the area of `DeltaABC` is maximum, when it is isosceles.

Text Solution

Verified by Experts

The correct Answer is:
Rs. 1920
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -1|102 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -2|69 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

A B is a diameter of a circle and C is any point on the circle. Show that the area of A B C is maximum, when it is isosceles.

AB is a diameter of a circle and C is any point on the circumference of the circle. Then (a) the area of DeltaABC is maximum when it is isosceles (b) the area of DeltaABC is minimum when it is isosceles (c) the perimeter of DeltaABC is minimum when it is isosceles (d) none of these

AB is a diameter of a circle and C is any point on the circumference of the circle. Then a) the area of A B C is maximum when it is isosceles b) the area of A B C is minimum when it is isosceles c) the perimeter of A B C is minimum when it is isosceles d) none of these

If AOB is a diameter of a circle and C is a point on the circle, then AC^(2)+BC^(2)=AB^(2) .

The diameter of a circle is 28 cm. Find its : area

In the figure shown , AB is a diameter of the circle and O is the center of the circle If A = (3,4) , then what is the circumference of the circle?

In figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of angleACD+ angleBED .

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

AD is a diameter of a circle and AB is a chord. If AD = 34cm, AB = 30cm, the distance of AB form the centre of the circle is

A rectangle is inscribed in a semi-circle of radius r with one of its sides on diameter of semi-circle. Find the dimensions of the rectangle so that its area is maximum. Find also the area.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
  1. If AB is a diameter of a circle and C is any point on the circle, then...

    Text Solution

    |

  2. Let f,g : [-1,2] to be continuous functions which are twice different...

    Text Solution

    |

  3. Let f:Rrarr(0,oo)andg:RrarrR be twice differentiable functions such th...

    Text Solution

    |

  4. If f:R is a differentiable fucntion such that f(x) gt 2f(x) for all x...

    Text Solution

    |

  5. The point(s) on the curve y^3+\ 3x^2=12 y where the tangent is ver...

    Text Solution

    |

  6. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

    Text Solution

    |

  7. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  8. If the function g:(-oo,oo)rarr(-(pi)/(2),(pi)/(2)) is given by g(u)=...

    Text Solution

    |

  9. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

    Text Solution

    |

  10. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  11. If f(x)=xe^(x(1-x)), then f'(x) is

    Text Solution

    |

  12. The function f(x)=sin^4x+cos^4x increasing if 0<x<pi/8 (b) pi/4<x<(3p...

    Text Solution

    |

  13. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

    Text Solution

    |

  14. The function f(x)=(log (pi+x))/(log (e+x))," is "

    Text Solution

    |

  15. Let fa n dg be increasing and decreasing functions, respectively, from...

    Text Solution

    |

  16. Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^(t+(1)...

    Text Solution

    |

  17. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real number xdot Then (a) h ...

    Text Solution

    |

  18. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

    Text Solution

    |

  19. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

    Text Solution

    |

  20. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  21. The total number of local maxima and local minima of the function f...

    Text Solution

    |