Home
Class 12
MATHS
Prove that there exist exactly two non-s...

Prove that there exist exactly two non-similar isosceles triangles `A B C` such that `tanA+tanB+tanC=100.`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Prove that if the areas of two similar triangles are equal, then they are congruent

: In A B Cdot Show that, tanA+tanB+tanC=tanAtanBtanC

Number of triangles A B C if tanA=x ,tanB=x+1,a n dtanC=1-x is ________

Prove that if two medians of any triangle be equal, then it is an isosceles triangle.

DeltaABC is an isosceles triangle in which AB = AC. Show that /_ B = /_ C.

In triangle ABC prove that tan((A+B)/2)=cot. C/2

If A(3,4) and B(-5,-2) are the extremities of the base of an isosceles triangle ABC with tan C = 2 , then point C can be

In any triangle ABC, show that (a sin C)/(b - a cosC)= tanA .

Prove that the perimeters of two similar triangles are proportional to any two corresponding sides of them.

In triangle ABC, right angled at C, (tanA+tanB) equal to

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If t is a real number satisfying the equation 2t^3-9t^2+30-a=0, then f...

    Text Solution

    |

  2. Find the approximate value of f(3. 02), where f(x)=3x^2+5x+3.

    Text Solution

    |

  3. Prove that there exist exactly two non-similar isosceles triangles A B...

    Text Solution

    |

  4. If the radius of a sphere is measured as 9cm with an error of 0.03 cm,...

    Text Solution

    |

  5. Discuss the maxima and minima of the function f(x)=x^(2/3)-x^(4/3)dot

    Text Solution

    |

  6. Find the approximate value of (1. 999)^6 .

    Text Solution

    |

  7. Discuss the extremum of f(x)={1+sinx ,x<0x^2-x+1,xgeq0a tx=0

    Text Solution

    |

  8. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  9. Find the value of a if x^3-3x+a=0 has three distinct real roots.

    Text Solution

    |

  10. Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, The...

    Text Solution

    |

  11. The curve f(x)=(x^2+a x+b)/(x-10) has a stationary point at (4,1) . Fi...

    Text Solution

    |

  12. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

    Text Solution

    |

  13. Let f(x) be defined as f(x)={tan^(-1)alpha-5x^2,0ltxlt1 and -6x ,xge...

    Text Solution

    |

  14. Consider the function f(x)=8x^2-7x+5 on the interval [-6,6] .the valu...

    Text Solution

    |

  15. Let f(x)={x^3-x^2+10 x-5,xlt=1, \ -2x+(log)2(b^2-2),x >1 Find the val...

    Text Solution

    |

  16. Using lagrange's mean value theorem, show that (beta-alpha)/(1+beta^2...

    Text Solution

    |

  17. Find the minimum value of |x-1|+|x-2|+|x-3|

    Text Solution

    |

  18. Let f(x)a n dg(x) be two differentiable functions in R a n d f(2)=8,g(...

    Text Solution

    |

  19. Discuss the extremum of f(x)={x^2+x^-2}

    Text Solution

    |

  20. Using Lagranges mean value theorem, prove that |cosa-cosb|<=|a-b|dot

    Text Solution

    |