Home
Class 12
MATHS
For a triangle ABC,the value of cos2A+co...

For a triangle `ABC`,the value of `cos2A+cos2B+cos2C` is least. If its inradius is `3` and incentre is `M`, then which of the following is NOT correct ?

A

area of `triangleABC` is `(27(sqrt3))/(2)`

B

`sin2A+sin2B+sin2C=sin A+sin B+sin C`

C

perimeter of `triangle ABC` is `18sqrt(3)`

D

`vec (MA).vec (MB)=-18`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

For any triangle ABC,prove that a cos A+b cos B+c cos C=2a sin B sin C

Let ABC be a triangle. If cos2A + cos2B+ cos 2C = -1 , then which one of the following is correct?

In a triangle ABC,cos^(2)A+cos^(2)B+cos^(2)C=

Prove that in triangle ABC , cos^(2)A + cos^(2)B + cos^(2)C lt 3/4 .

In triangle ABC,cos A+2cos B+cos C=2, then-

In any triangle ABC, prove that: a cos A+b cos B+c cos C=2a sin B sin C

In triangle ABC,/_C=(2 pi)/(3) then the value of cos^(2)A+cos^(2)B-cos A*cos B is equal

In triangle ABC, cos^2A + cos^2B - cos^2C = 1, then the triangle is necessarily

For any triangle ABC,prove that a(b cos C-c cos B)=b^(2)-c^(2)

JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. Let f(x)=|[1+sin^(2)x,cos^(2)x,sin2x],[sin^(2)x,1+cos^(2)x,sin2x],[sin...

    Text Solution

    |

  2. The combined equation of the two lines ax+by+c=0 and a'x+b'y+c'=0 can ...

    Text Solution

    |

  3. For a triangle ABC,the value of cos2A+cos2B+cos2C is least. If its inr...

    Text Solution

    |

  4. If y=y(x) is the solution curve of the differential equation (dy)/(dx)...

    Text Solution

    |

  5. If the centre and radius of the circle |(z-2)/(z-3)|=2 are respectivel...

    Text Solution

    |

  6. In a binomial distribution B(n, p), the sum and the product of the mea...

    Text Solution

    |

  7. The area enclosed by the closed curve C given by the differential equa...

    Text Solution

    |

  8. The negation of the expression q vv((~q)^^p) is equivalent to

    Text Solution

    |

  9. If int(0)^(1)(x^(21)+x^(14)+x^(7))(2x^(14)+3x^(7)+6)^(1/7)dx=(1)/(l)(1...

    Text Solution

    |

  10. Let vec v=alphahat i+2hat j-3hat k,vec w=2 alphahat i+hat j-hat k and ...

    Text Solution

    |

  11. The number of 3 -digit numbers,that are divisible by 2 or 3 but not di...

    Text Solution

    |

  12. Let A be the area bounded by the curve y=x|x-3|,the x -axis and the or...

    Text Solution

    |

  13. The number of words, with or without meaning, that can be formed using...

    Text Solution

    |

  14. A(2,6,2),B(-4,0,lambda),C(2,3,-1) and D(4,5,0),|lamda|le5 are the vert...

    Text Solution

    |

  15. If f(x)=x^(2)+g'(1)x+g''(2) and g(x)=f(1)x^(2)+xf'(x)+f''(x),then the ...

    Text Solution

    |

  16. Let f:IR rarr IR be a differential function such that f'(x)+f(x)=int(0...

    Text Solution

    |

  17. If a(1)=8,a(2),a(3)......a(n),be an A.P.If the sum of first four terms...

    Text Solution

    |

  18. The remainder,when 19^(200)+23^(200) is divided by 49,is

    Text Solution

    |

  19. Let P(S) denote the power set of S = {1,2,3,…..,10}. Define the relati...

    Text Solution

    |

  20. The sum sum(n=1)^oo(2n^(2)+3n+4)/((2n)!) is equal to

    Text Solution

    |