Home
Class 12
MATHS
Two sides of a triangle are given by the...

Two sides of a triangle are given by the roots of the equation `x^2-5x+6=0` and the angle between the sides is `pi//2`. Then the perimeter of the triangle is

A

`5+sqrt(2)`

B

`5+sqrt(3)`

C

`5+sqrt(5)`

D

`5+sqrt(7)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    SIA PUBLICATION|Exercise Problems|41 Videos

  • QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS

    SIA PUBLICATION|Exercise Problems|71 Videos

Similar Questions

Explore conceptually related problems

Two sides of a triangle are given by the roots of the equation x^(2)-5x+6=0 and the angle between the sides is 60 ° Then the perimeter of the triangle is a

Two sides of a triangles are given by the roots of the equation x^(2) - 3 ( sqrt2+ 1) x +9sqrt2=0 and the angle between the sides is 45^(@) , then the triangle is

If two sides of a triangle are roots of the equation x^(2)- 7x + 8 = 0 and the angle between these sides is 60^(@) then the product of inradius and circumradius of the triangle is

Two sides of a triangle is given . If the area of a triangle is maximum, then the angle between the two sides is

If two sides of a triangle are the roots of the equation 4x^2-(2sqrt6)x+1=0 and the included angle is 60^@ , then the third side is

Two sides of a triangle is given. If the area of a triangle is maximum, then show that the angle between the two sides is (pi)/(2) .

Two equal sides of isosceles triangle are given by equation 7x-y+3=0 and x+y-3=0 . The slope of the thrid side is

The roots of x^2-2sqrt3x+2=0 represent two sides of a triangle. IF the angle between them is pi//3 , then the perimeter of the triangle is

Two sides of a triangle are y=m_(1)x and y=m_(2)x,m_(1),m_(2) are the roots of the equation x^(2)+ax-1=0 . For all values of a the orthocentre of the triangle lies at

SIA PUBLICATION-PROPERTIES OF TRIANGLES, HEIGHTS AND DISTANCES-Problems
  1. If b +c =3a , then find the value of cot.(B)/(2)cot.(C)/(2)

    Text Solution

    |

  2. The elevation of an object on a hill is observed from a certain point...

    Text Solution

    |

  3. In a DeltaABC,sum(b+c)tan""A/2tan((B-C)/2)=

    Text Solution

    |

  4. Two sides of a triangle are given by the roots of the equation x^2-5x+...

    Text Solution

    |

  5. In a Delta ABC, a (cos^2 B+cos^2 C)+cos A(c cos C+b cos B)=

    Text Solution

    |

  6. A tower, of x metres high, has a flagstaff at its top. The tower and t...

    Text Solution

    |

  7. IF in a Delta ABC, r3=r1+r2+r, then angle A+ angle B=

    Text Solution

    |

  8. In a triangleABC, (a-b)^2 cos^2(C )/(2)+(a+b)^2 sin^2(C )/(2) is equal...

    Text Solution

    |

  9. In a triangleABC, the correct formulae, among the following are I r...

    Text Solution

    |

  10. An aeroplane flying with uniform speed horizontally one kilometer abov...

    Text Solution

    |

  11. In Delta ABC, if r1 lt r2 lt r3 then

    Text Solution

    |

  12. In Delta ABC if b=20,c=21 and sin A=3//5, then a=

    Text Solution

    |

  13. A tower subtends angles alpha,2 alpha, 3 alpha respectively at points ...

    Text Solution

    |

  14. If the altitudes of a triangle are in arithmetic progression, then the...

    Text Solution

    |

  15. In Delta ABC, (cos C+ cos A)/(c+a)+(cos B)/b=

    Text Solution

    |

  16. If triangleABC is right angle at A, then r2+r3 is equal to

    Text Solution

    |

  17. From a point on the level ground, the angle of elevation of the top of...

    Text Solution

    |

  18. In Delta ABC, if a/(b^2-c^2)+c/(b^2-a^2)=0 then B=

    Text Solution

    |

  19. In Delta ABC,a^2 sin 2C+c^2 sin 2A=

    Text Solution

    |

  20. The shadow of the tower standing on a level ground is found to be 60 m...

    Text Solution

    |