Home
Class 12
MATHS
If A is the area and 2s is the sum of th...

If `A` is the area and `2s` is the sum of the sides of a triangle, then `Alt=(s^2)/4` (b) `Alt=(s^2)/(3sqrt(3))` `2RsinAsinBsinC` (d) `non eoft h e s e`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos
  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

If triangle is the area and 2s is the perimeter of triangleABC , then prove that triangle le s^(2)/(3sqrt(3))

Given b=2,c=sqrt(3),/_A=30^0 , then inradius of A B C is (sqrt(3)-1)/2 (b) (sqrt(3)+1)/2 (c) (sqrt(3)-1)/4 (d) non eoft h e s e

If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined at an acute angle with the positive direction of the x-axis, then (a) a >0 (b) a<-sqrt(3) (c) -sqrt(3)<=a<= sqrt(3) (d) non eoft h e s e

If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined at an acute angle with the positive direction of the x-axis, then (a) a >0 (b) a<-sqrt(3) (c) -sqrt(3)< a< sqrt(3) (d) non eoft h e s e

The maximum area of the rectangle whose sides pass through the vertices of a given rectangle of sides aa n db is (a) 2(a b) (b) 1/2(a+b)^2 (c) 1/2(a^2+b^2) (d) non eoft h e s e

In A B C , the median A D divides /_B A C such that /_B A D :/_C A D=2:1 . Then cos(A/3) is equal to (sinB)/(2sinC) (b) (sinC)/(2sinB) (2sinB)/(sinC) (d) non eoft h e s e

Using vectors: Prove that if a,b,care the lengths of three sides of a triangle then its area Delta is given by Delta= sqrt(s(s-a)(s-b)(s-c)) where 2s=a+b+c

Let alt=blt=c be the lengths of the sides of a triangle. If a^2+b^2< c^2, then prove that angle C is obtuse .

If the line 2x-2y+lambda=0 is a secant to the parabola x^2=-8y , then lambda lies in the interval (4,oo) (b) (-oo,4) (c) (0,4) (d) Non eoft h e s e

x gt0 , then the sum of the series e^(-x)-e^(-2x)+e^(-3x)-... i s

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
  1. If r(1), r(2) ,r(3) are the ex-radii of DeltaABC, then prove that (b...

    Text Solution

    |

  2. If r and R are radii of the incircle and circum-circle of DeltaABC, t...

    Text Solution

    |

  3. If A is the area and 2s is the sum of the sides of a triangle, then Al...

    Text Solution

    |

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

    Text Solution

    |

  5. The sides of a triangle are in AP. If the angles A and C are the great...

    Text Solution

    |

  6. perpendiculars are drawn from the angles A , Ba n dC of an acute-angle...

    Text Solution

    |

  7. If cos theta=(a)/(b+c),cos phi=(b)/(a+c),cospsi=(c)/(a+b), where theat...

    Text Solution

    |

  8. Given the base of a triangle, the opposite angle A, and the product k^...

    Text Solution

    |

  9. If a,b,c are in HP, then prove that sin ^(2) ""(A)/(2), sin ^(2) ""(B)...

    Text Solution

    |

  10. If in a triangle A B C ,cosA+2cosB+cosC=2 prove that the sides of the ...

    Text Solution

    |

  11. Consider the following statements concerning a DeltaABC (i) The sid...

    Text Solution

    |

  12. Prove that a triangle A B C is equilateral if and only if tanA+tanB+ta...

    Text Solution

    |

  13. Let ABC be a triangle having O and I as its circumcentre and incentre,...

    Text Solution

    |

  14. Let ABC be a triangle with incenter I and inradius r. Let D, E, and F ...

    Text Solution

    |

  15. If In is the area of n-s i d e d regular polygon inscribed in a cir...

    Text Solution

    |

  16. In a DeltaABC, if r(1) +r=r(2), then find the vlaue of (sec ^(2) A + c...

    Text Solution

    |

  17. In DeltaABC, let b=6, c=10and r(1) =r(2)+r(3)+r then find area of Delt...

    Text Solution

    |

  18. Consider on obtuse angle triangles with side 8 cm, 15 cm and xx cm (la...

    Text Solution

    |

  19. letABC be a right angled triangle at C. If the inscribed circle touche...

    Text Solution

    |

  20. Consider a Delta ABC and let a,b, and c denote the leghts of the sides...

    Text Solution

    |