Home
Class 11
MATHS
In a triangle if the sum of two sides is...

In a triangle if the sum of two sides is x and this product is `y(ge2sqrtx)`such that `x^2-z^2=y,` where z is the third side, then in-radius of the triangle is

A

`y/(2(x+z)`

B

`z/(2(x+y)`

C

`(ysqrt3)/(2(x+z)`

D

`(zsqrt3)/((x+y)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

If A is the area and 2s is the sum of the sides of a triangle, then

x+8y-22=0, 5x+2y-34=0, 2x-3y+13=0 are the three sides of a triangle. The area of the triangle is

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)/(3). Then the perimeter of the triangle is-

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is

Find the locus of the circumcenter of a triangle whose two sides are along the coordinate axes and the third side passes through the point of intersection of the line a x+b y+c=0 and l x+m y+n=0.

The circle x^2+y^2-4x-4y+4=0 is inscribed in a variable triangle O A Bdot Sides O A and O B lie along the x- and y-axis, respectively, where O is the origin. Find the locus of the midpoint of side A Bdot

The hypotenuse of a right triangle is 6m more than twice of the shortest side. If the third side is 2 m., less than the hypotenuse, find the sides of the triangle

The equation to the base of an equilateral triangle is x+y=2and its vertex is at (2,-1) . Find the length of a side of the triangle.

If two side of a triangle are hat i+2 hat j and hat i+ hat k , then find the length of the third side.

An equilateral triangle is inscribed in the parabola y^2=4a x , such that one vertex of this triangle coincides with the vertex of the parabola. Then find the side length of this triangle.

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. For a regular of n sides, sides are a , and circum radius is R and in-...

    Text Solution

    |

  2. If p1,p2,p3 are altitudes of a triangle ABC from the vertices A,B,C re...

    Text Solution

    |

  3. In a triangle if the sum of two sides is x and this product is y(ge2sq...

    Text Solution

    |

  4. If P1P2P3are altitude of a triangle which circumscribes a circle of ...

    Text Solution

    |

  5. A nine-side regular polygon with side length 2, is inscribed in a circ...

    Text Solution

    |

  6. A circle is inscribed in an equilateral triangle of side length a. The...

    Text Solution

    |

  7. In a triangle ABC, angleC=pi/2. If r is the in-radius and R is the ci...

    Text Solution

    |

  8. In an ambiguous case of solving a triangle when a=sqrt5,b=2,angleA=p...

    Text Solution

    |

  9. In an equilateral triangle , R:r:r2 is equal to

    Text Solution

    |

  10. In a DeltaABC, angles A,B,C are in A.P. Then lim(A to C)sqrt(3-4sinAsi...

    Text Solution

    |

  11. If a,b,c,d,be the sides of a quadrilateral and g(x)=f[f{f(x)}], where ...

    Text Solution

    |

  12. In DeltaABC, let A=pi/3, b=40, c=30, AD is a median, them the value of...

    Text Solution

    |

  13. In a DeltaABC, sides a,b,c are in A.P. and 2/(1!9!)+2/(3!7!)+1/(5!5!)=...

    Text Solution

    |

  14. In an isosceles triangle ABC, AB=AC. If vertical angle A is 20^@, then...

    Text Solution

    |

  15. If f,g, h are the internal bisectors of a DeltaABC, then 1/fcos(A/2)+1...

    Text Solution

    |

  16. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  17. In a triangle ABC, if cotA =(x^3+x^2+x)^(1//2, cotB =(x+x^-1+1)^(1//2)...

    Text Solution

    |

  18. If the sine of the angles of DeltaABCsatisfy the equationc^3x^3-c^2(a+...

    Text Solution

    |

  19. In a triangle ABC, r^2+r1^2+r2^2+r3^2+a^2+b^2+c^2is equal to (where r ...

    Text Solution

    |

  20. If in a triangle (1-r1/r2)(1-r1/r3)=2,then the triangle is

    Text Solution

    |