Home
Class 11
MATHS
T1 is an isosceles triangle in circle C...

`T_1` is an isosceles triangle in circle C. Let `T_2` be another ísosceles triangle inscribed in C whose base is one of the equal sides of `T_1` and which overlaps the interior of `T_1`. Similarly, create isosceles triangle `T_3` from `T_2; T_4 and T_5`, and so on. Prove that the triangle `T_n`, approaches an equilateral triangle as `n ->oo`,

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Let T_n denote of the number of triangles which can be formed using the vertices of a regular polygon of n sides If T_(n+1)-T_n=21 then n is

The sides of a triangle are in A.P. and its area is 3/5t h of the an equilateral triangle of the same perimeter, prove that its sides are in the ratio 3:5:7.

Let T_(n) denote the number of triangles which can be formed using the vertices of a regular polygon of n sides . If T_(n+1)-T_(n)=21 then find the values of n .

Let p,q,r be the altitudes of a triangle with area s and perimeter 2t. Then the value of 1/p+1/q+1/r is

The average speed at T_1 K and the most probable speed at T_2 K of CO_2 gas is 9xx10^4cmsec^(-1) . Calculate the value of T_1 and T_2 .

Let T_(n) be the number of all possible triangles formed by joining vertices of a n-side regular polygon . If T_(n+1)-T_(n)=10 ,then the value of n is -

Calculating the angle of the triangle, prove that the points A(3, 4, -1) , B(1, 5, 1) and C(1, 2, -2) are the vertices of an isosceles triangle.

If the Verticesof a triangle are P(at_1,a/t_1) , Q(at_2,a/t_2) and R(at_3,a/t_3) Show that the orthocentre of the triagle lies on xy = a^2 .

S and T are the foci of an ellipse and B is the end point of the minor axis. If STB is equilateral triangle, the eccentricity of the ellipse is

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If f(x)=(cosx)/((1-sinx)^(1/3)) then (a) ("lim")(xrarrpi/2)f(x)=-oo (b...

    Text Solution

    |

  2. lim(x->-oo)(x^2*tan(1/x))/(sqrt(8x^2+7x+1)) is

    Text Solution

    |

  3. T1 is an isosceles triangle in circle C. Let T2 be another ísoscele...

    Text Solution

    |

  4. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f((pi)/...

    Text Solution

    |

  5. lim(xtooo) [((e)/(1-e))((1)/(e)-(x)/(1+x))]^(x) is :

    Text Solution

    |

  6. ("lim")(x -> 0)((1+tanx)/(1+sinx))^(cos e cx) is equal to (a)e ...

    Text Solution

    |

  7. lim(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 ...

    Text Solution

    |

  8. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  9. "Find"(dy)/(dx)"if "y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

    Text Solution

    |

  10. (c)answer any three questions: 1. if y=sin ^(-1) ((2x)/(1+x^2)) , find...

    Text Solution

    |

  11. If y=tan^(-1)((3x-x^3)/(1-3x^2)),-1/(sqrt(3))ltxlt1 /(sqrt(3)), then f...

    Text Solution

    |

  12. Find (dy)/(dx) for the functions: y=(x+sinx)/(x+cosx)

    Text Solution

    |

  13. Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(...

    Text Solution

    |

  14. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

    Text Solution

    |

  15. Let f(x)=xsinpix ,\ x >0 . Then for all natural numbers n ,\ f^(pr...

    Text Solution

    |

  16. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  17. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)), then find= (dy)/(dx)

    Text Solution

    |

  18. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2)...

    Text Solution

    |

  19. Find (dy)/(dx) if y=log{e^x((x-2)/(x+2))^(3/4)}

    Text Solution

    |

  20. let f(x)=2+cosx for all real x. Statement 1: For each real t, there e...

    Text Solution

    |