Home
Class 12
MATHS
The set of all real numbers a such that ...

The set of all real numbers `a` such that `a^2+2a ,2a+3,a n da^2+3a+8` are the sides of a triangle is_____

Text Solution

Verified by Experts

The correct Answer is:
`A gt 5`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 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

Find the set of all real 'a' such that 5a^(2)-3a-2,a^(2)+a-2 and 2a^(2)+a-1 are the lenghts of the sides of a triangle?

The set of all real numbers satisfying the inequation 2^(x)+2^(|x|) gt 2sqrt(2) , is

A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. Show that the maximum length of the hypotenuse is (a^(2/3)+b^(2/3))^(3/2) .

If S is the set of all real numbers x for which > 0 (2x-1)/(2x^3+3x^2+x) and P is the subset of S,

If * is defined on the set R of all real numbers by a*b=sqrt(a^2+b^2) , find the identity element in R with respect to *.

If * is defined on the set R of all real numbers by a*b= sqrt(a^2+b^2) , find the identity element in R with respect to *.

A point on the hypotenuse of a right triangle is at distances a and b from the sides of the triangle. Show that the minimum length of the hypotenuse is (a^(2/3)+b^(2/3))^(3/2)

The set of quantum numbers, n = 3, l = 2, m_(l) = 0

The set of real values of k for which the lines x + 3y +1=0, kx + 2y-2=0 and 2x-y + 3 = 0 form a triangle is

If the middle points of the sides of a triangle are (1,1),(2,-3) and (3,2) then the centroid of the triangle is (i) (-2,0) (ii) (0,2) (iii) (3,2) (iv) (2,0)

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. In a DeltaABC, AD is the altitude from A. Given b gt c, angleC=23^(@)"...

    Text Solution

    |

  2. If, in a /\ ABC, (2 cos A)/a + (cos B)/(b) + (2 cos C)/(c) = a/(bc) ...

    Text Solution

    |

  3. The set of all real numbers a such that a^2+2a ,2a+3,a n da^2+3a+8 are...

    Text Solution

    |

  4. Let A(1), A(2), A(3),…,A(n) be the vertices of an n-sided regular poly...

    Text Solution

    |

  5. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. With usual notations, if in a triangle A B C(b+c)/(11)=(c+a)/(12)=(a+b...

    Text Solution

    |

  8. ABC is a triangle and D is the middle point of BC. If AD is perpendicu...

    Text Solution

    |

  9. Show that for any triangle with sides a ,b ,a n dc3(a b+b c+c a)<(a+b+...

    Text Solution

    |

  10. If in triangle ABC, (a=(1+sqrt(3))c m ,b=2c m ,a n d/C=60^0 , then fin...

    Text Solution

    |

  11. If Delta is the area of a triangle with side lengths a, b, and c, then...

    Text Solution

    |

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

    Text Solution

    |

  13. Let A,B,C, be three angles such that A=pi/4 and tanB ,tanC=pdot Find a...

    Text Solution

    |

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

    Text Solution

    |

  15. If in a triangle of base 'a', the ratio of the other two sides is r ( ...

    Text Solution

    |

  16. In a triangle ABC, if cos A cos B + sin A sin B sin C = 1, then a:b:c ...

    Text Solution

    |

  17. If in a triangle ABC, cos A +cos B+cos C=3/2, prove that the triangle ...

    Text Solution

    |

  18. If p(1),p(2),p(3) are the altitues of a triangle from the vertieces A,...

    Text Solution

    |

  19. If p(1),p(2),p(3) are the perpendiculars from the vertices of a triang...

    Text Solution

    |

  20. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |