Home
Class 12
MATHS
In Delta ABC, if a = 10 and b cot B + c ...

In `Delta ABC`, if a = 10 and `b cot B + c cot C = 2(r + R)` then the maximum area of `DeltaABC` will be

A

50

B

`sqrt50`

C

25

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|23 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERSISE 1: SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

In A B C ,if a=10 and bcotB+ c cotC=2(r+R) then the maximum area of A B C will be (a) 50 (b) sqrt(50) (c) 25 (d) 5

In a triangle ABC , if 3a = b + c , then cot B/2 cot C/2 =

In a DeltaABC , 2 Delta (cot B + cot C)=

In a DeltaABC, prove that: 2r le (a cot A+ b cot B+ c cot C)/(3)leR

In any DeltaABC, sum (b - c) cot A/2 =

In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R )

If in a Delta ABC , cot A + cot B + cot C = sqrt(3) . Prove that triangle is equilateral

In any DeltaABC , prove that (a+b-c) cot (B/2) = (a-b+c) cot (C/2)

In DeltaABC , a=25,b=52, c=63, find cot(A/2) .

In DeltaABC, a = 3, b = 5, c = 6 , find the value of : cot (A/2)

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. In a triangle ABC, if cot A =(x^(3)+x^(2) +x)^(1/2), cot B= (x+x^(-1)+...

    Text Solution

    |

  2. In a Delta ABC, a,b,A are given and c(1), c(2) are two values of the ...

    Text Solution

    |

  3. In Delta ABC, if a = 10 and b cot B + c cot C = 2(r + R) then the maxi...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

    Text Solution

    |

  6. In triangle A B C ,ifPdotQ ,R divides sidesB C ,A C , and A B , respec...

    Text Solution

    |

  7. Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a ...

    Text Solution

    |

  8. In an ambiguoa ambiguous case of solving a triangleshen a = sqrt5,b =...

    Text Solution

    |

  9. If R(1) is the circumradius of the pedal triangle of a given triangle ...

    Text Solution

    |

  10. If in a triangle (1-(r1)/(r2))(1-(r1)/(r3))=2 then the triangle is rig...

    Text Solution

    |

  11. If the median AD of a triangle ABC makes an angle theta with side, AB,...

    Text Solution

    |

  12. In a Delta ABC, angles A, B, C are in AP. If f(x) = underset(A rarr c)...

    Text Solution

    |

  13. In Delta ABC, (a + b+ c) (b + c -a) = kbc if

    Text Solution

    |

  14. In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B)), prove ...

    Text Solution

    |

  15. In a DeltaABC, sides a,b,c are inAP and (2)/(1!9!)+(2)/(3!7!)+(1)/(5!5...

    Text Solution

    |

  16. If a, b,c be the sides of a triangle ABC and if roots of equation a(b-...

    Text Solution

    |

  17. The ratio of the area of a regular polygon of n sides inscribed in a c...

    Text Solution

    |

  18. In any triangle ABC sum (sin^2A+sinA+1)/sinA is always greater than or...

    Text Solution

    |

  19. If the incircel of the triangle ABC, through it's circumcentre, then t...

    Text Solution

    |

  20. The perimeter of a triangle ABC is saix times the arithmetic mean of ...

    Text Solution

    |