Home
Class 12
MATHS
If a , b , c denote the sides of a !ABC ...

If a , b , c denote the sides of a `!ABC` such that the equation `x^(2)+sqrt2x+1=0` and `ax^(2)+bx+c=0` have a common root , then C =

A

`30^(@)`

B

`45^(@)`

C

`90^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a common root, then a:b:c is

If the equation x^2+2x+3=0 and ax^2+bx+c=0 have a common root then a:b:c is

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equation ax^2+2bx+c=0 and ax^2+2cx+b=0 b!=c have a common root ,then a/(b+c =

If the equation x^2+ax+bc=0" and " x^2-bx+ca=0 have a common root, then a+b+c =

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If a,b,c in R and the equation ax^2+bx+c = 0 and x^2+ x+ 1=0 have a common root, then

If the equation x^(2 )+ 2x + 3 = 0 and ax^(2) +bx+c=0, a, b, c in R , have a common root, then a : b:c is

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. If the sides of the triangle are the roots of the equation x^(3)-2x^(...

    Text Solution

    |

  2. If AD, BE and CF are the medians of a Delta ABC, then evaluate (AD^(2)...

    Text Solution

    |

  3. If a DeltaABC is right angled at B, then the diameter of the incircle ...

    Text Solution

    |

  4. If a^(2),b^(2),c^(2) are in A.P.,then which of the following is also i...

    Text Solution

    |

  5. If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin...

    Text Solution

    |

  6. If the ex-radii of a triangle are in H.P.,then the corresponding sides...

    Text Solution

    |

  7. If I is the incentre of a !ABC , then IA:IB:IC is equal to

    Text Solution

    |

  8. In a triangle ABC ,the HM of the ex-radii is equal to

    Text Solution

    |

  9. In a DeltaABC if r(1):r(2):r(3)=2:4:6, then a:b:c =

    Text Solution

    |

  10. If in a !ABC,angleA=pi//3 and AD is a median , then

    Text Solution

    |

  11. In a triangle ABC cos^(2)A/2+cos^(2)B/2+cos^(2)C/2=

    Text Solution

    |

  12. The base of a triangle is 80cm and one of the base angles is 60^(@).If...

    Text Solution

    |

  13. In a DeltaABC if r(1)=16,r(2)=48 and r(3)=24, then its in-radius ,is

    Text Solution

    |

  14. In a △ ABC if a =26, b= 30 and cos C =63/65, then r(2) =

    Text Solution

    |

  15. In a triangle ABC if sides a = 13, b =14 and c = 15, then reciprocals...

    Text Solution

    |

  16. In a A B C , ifsinAa n dsinB are the roots of the equation c^2x^2-c(a...

    Text Solution

    |

  17. If a , b , c denote the sides of a !ABC such that the equation x^(2)+...

    Text Solution

    |

  18. In a Delta ABC if b+c=2a and /A=60^@ then Delta ABC is

    Text Solution

    |

  19. In a Delta ABC, if b=20, c=21and sin A =3/5, then the value of a is

    Text Solution

    |

  20. Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3...

    Text Solution

    |