Home
Class 12
MATHS
If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)...

If `c^(2)=a^(2) +b^(2),` then `4s(s-a)(s-b)(s-c)` is equal to

A

`b^2c^2`

B

`c^2a^2`

C

`s^4`

D

`a^2b^2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (5)(FILL IN THE BLANKS)|3 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise COMPREHENSION |11 Videos

Similar Questions

Explore conceptually related problems

If c^(2)=a^(2)+b^(2),2s=a+b+c, then 4s(s-a)(s-b)(s-c)

In DeltaABC,c^(2)=a^(2)+b^(2), then 4s (s -a) (s -b) (s -c) =

If c^(2) = a^(2) + b^(2) , then prove that 4s (s - a) (s - b) (s - c) = a^(2) b^(2)

If in a triangle ABC,(s-a)(s-b)=s(s-c), then angle C is equal to

Let a,b,c be real numbers with sum equals zero,let us denote (a^(k)+b^(k)+c^(k))/(k)=S_(k) then (S_(5)S_(2))/(S_(7)) is equal to :

If a + b + c = 2s , then ((s-a)^2 + (s-b)^2 + (s-c)^2 + s^2)/(a^2 + b^2 + c^2) is equal to

ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
  1. In Delta ABC if a= 16 , b= 24 and c = 20 then cos (B/2)

    Text Solution

    |

  2. In Delta ABC, cscA (sin B cos C + cos B sin C) =

    Text Solution

    |

  3. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

    Text Solution

    |

  4. In triangleABC, If the anlges are in A.P., and b:c=sqrt(3):sqrt(2), t...

    Text Solution

    |

  5. If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides...

    Text Solution

    |

  6. If in a right angled triangle the hypotenuse is four times as long as ...

    Text Solution

    |

  7. If the lengths of the sides of a triangle are 3, 5, 7, then its larges...

    Text Solution

    |

  8. In a triangle ABC, right angled at C, find the value of tan A + tan B ...

    Text Solution

    |

  9. The smallest angle of the DeltaABC, when a=7,b=4sqrt(3)andc=sqrt(13) i...

    Text Solution

    |

  10. If in a DeltaABC, cos B = (sin A)/(2 sin C), then the triangle is

    Text Solution

    |

  11. Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

    Text Solution

    |

  12. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

    Text Solution

    |

  13. In a triangle PQR, angleR = pi //2. If tan (P/2) and tan (Q/2) are th...

    Text Solution

    |

  14. If in a Delta PQR, sin P, sin Q , sin R are in AP, then:

    Text Solution

    |

  15. In DeltaABC if (sinA)/(sinC)=(sin(A-B))/(sin(B-C)), then a^(2), b^(2)...

    Text Solution

    |

  16. Let PQR be a triangle of ! area with a = 2 , b = 7/2 and c = 5/2, wher...

    Text Solution

    |

  17. If R is the radius of the circumcircle of the Delta ABC and Delta is ...

    Text Solution

    |

  18. In a triangle ABC if b=2,B=30^@ then the area of the circumcircle of ...

    Text Solution

    |

  19. For a regular polygon let r and R be radii of the inscribed and the ci...

    Text Solution

    |

  20. The x -coordinate of the incentre of the triangle that has the coordin...

    Text Solution

    |