Home
Class 12
MATHS
If in Delta ABC, 8R^(2) = a^(2) + b^(2) ...

If in `Delta ABC, 8R^(2) = a^(2) + b^(2) + c^(2)`, then the triangle ABC is

A

equilateral

B

isosceles

C

rt. angled

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (4)(TRUE AND FALSE)|9 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (4)(FILL IN THE BLANKS)|3 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (3)(FILL IN THE BLANKS)|2 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, in a Delta ABC, c^(2) + a^(2) - b^(2) = ac , then : /_B =

If in a triangle ABC, (a^(2)-b^(2))/(a^(2)+b^(2)) then the triangle is

In Delta ABC , if b^(2) + c^(2) - a^(2) = bc, then angle A = __________.

If in a Delta ABC, cos B = (sin A)/(2 sin C), then the triangle is

In a triangle ABC,a^(2)cos^(2)A=b^(2)+c^(2) then triangle is

If a triangle ABC, sin A = sin^(2) B and 2 cos^(2)A = 3 cos^(2)B , then the Delta ABC is :

If in Delta ABC, c(a+b) cos ""B/2=b (a+c) cos ""C/2, the triangle is

In a triangle ABC, if sin A sin B= (ab)/(c^(2)) , then the triangle is :

ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (4)(MULTIPLE CHOICE QUESTIONS)
  1. If the sides of a triangle are in A.P. as well as in G.P. then the val...

    Text Solution

    |

  2. If r1=r2+r3+r prove that the triangle is right angled .

    Text Solution

    |

  3. If in Delta ABC, 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle ABC...

    Text Solution

    |

  4. In a triangle ABC, if (a-b)/(b-c)= (s-a)/(s-c), then r1,r2,r3 are in

    Text Solution

    |

  5. If r1 , r2 , r3 in a triangle be in H.P. then the sides are

    Text Solution

    |

  6. The hormonic mean of r1 ,r2, r3 is

    Text Solution

    |

  7. In a triangle if angleC=90^@ " then " R+r=

    Text Solution

    |

  8. In DeltaABC," if " angleC=90^(@)," then " (a+c)/(b)+(b+c)/(a) is equal...

    Text Solution

    |

  9. The in- radius of the triarigle formed by the axes and the line 4x + 3...

    Text Solution

    |

  10. In a triangle ABC , let angleC=(pi)/2. If r is the in-radius and R is ...

    Text Solution

    |

  11. In a triangle ABC right angled at B, the inradius r is equal to

    Text Solution

    |

  12. In an acute angled triangle which one of the following is true

    Text Solution

    |

  13. Two sides of a triangle are 2 and sqrt3 and the included angle is 30^@...

    Text Solution

    |

  14. Two sides of a triangle are the roots of the equation x^2 - 5x +6=0. I...

    Text Solution

    |

  15. In a triangle ABC if r1=R, then

    Text Solution

    |

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

    Text Solution

    |

  17. Which of the following pieces of data does not uniquely determine an a...

    Text Solution

    |

  18. If twice the square on the diameter of a circle is equal to sum of the...

    Text Solution

    |

  19. (r1-r)(r2+r3)=?

    Text Solution

    |

  20. Show that, 4 R r cos ""A/2cos ""B/2 cos ""C/2 =S

    Text Solution

    |