Home
Class 11
MATHS
Consider a triangle ABC, where x, y, z a...

Consider a triangle ABC, where x, y, z are the length of perpendicular drawn from the vertices of the triangle to the opposite sides a, b, c respectively let the letters R, r, S, D denote the circumradius. inradius semi-perimeter and area of the triangle respectively.
If `(bx)/c + (cy)/a + (az)/b = (a^(2) + b^(2) + c^(2))/k` then the value of k is

A

R

B

S

C

2R

D

`3/2 R`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - IV (Straight Objective Type Question)|38 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - IV (More than one correct answer Type Questions)|3 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - II(Linked comprehension Type Questions)|18 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

Consider a triangle ABC, where x, y, z are the length of perpendicular drawn from the vertices of the triangle to the opposite sides a, b, c respectively let the letters R, r, S, D denote the circumradius. inradius semi-perimeter and area of the triangle respectively. The value of (c sin B + b sin C)/x + (a sin C + c sin A)/y + (b sin A + a sin B)/z is equal to

In Delta ABC , if 8R^(2) = a^(2) + b^(2) + c^(2) , then the triangle is a

IF p_1,p_2,p_3 are the lengths of the altitudes from the vertices of Delta ABC to the opposite sides, then (a cotA)/p_1+(b cot B)/p_2+( c cot C)/p_3=

If p_1, p_2, p_3 are the lengths of the altitudes from the vertices of Delta ABC to the opposite sides, then ( a cot A)/( p_1) + ( b cot B)/( p_2) +( c cot C)/( p_3)=

In a triangle ABC, R(b+c)= a sqrt(bc) where R is the circum radius of the triangle. Then the triaangle is

In a triangle ABC let angle C=pi//2 . If r is the inradius and R is the circumradius of the the triangle ABC, then 2(r+R)=

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - III (Straight Objective Type Question)
  1. The area of the right angled triangle in terms of its circum radius an...

    Text Solution

    |

  2. In a triangle ABC, D and E are the mid-points of BC, CA respectively. ...

    Text Solution

    |

  3. If the bisector of the angle lfloor C of a triangle ABC cuts AB in D ...

    Text Solution

    |

  4. Let ABC be an isosceles triangle with base BC. If 'r' is the radius o...

    Text Solution

    |

  5. If a right angled Delta ABC of maximum area is inscribed within a cir...

    Text Solution

    |

  6. P is a point inside a Delta ABC of area K (K gt 0). The lengths of pe...

    Text Solution

    |

  7. If the bisector angle A of the triangle ABC makes an angle theta with ...

    Text Solution

    |

  8. Internal bisector of an angle angle A of triangle ABC meets side BC a...

    Text Solution

    |

  9. In Delta ABC , internal angle bisector of angle A meets side BC in D. ...

    Text Solution

    |

  10. Match the following

    Text Solution

    |

  11. Match the following

    Text Solution

    |

  12. Consider a triangle ABC, where x, y, z are the length of perpendicular...

    Text Solution

    |

  13. Consider a triangle ABC, where x, y, z are the length of perpendicular...

    Text Solution

    |

  14. Consider a triangle ABC, where x, y, z are the length of perpendicular...

    Text Solution

    |

  15. The sides of a Delta^("le") ABC " are " a = 4, b = 5, c = 6 The leng...

    Text Solution

    |

  16. The sides of a Delta^("le") ABC " are " a = 4, b = 5, c = 6 The leng...

    Text Solution

    |

  17. The sides of a Delta^("le") ABC " are " a = 4, b = 5, c = 6 The leng...

    Text Solution

    |

  18. The sides of a Delta ^("le') ABC be 8, 7, 6 and smallest angle is C t...

    Text Solution

    |

  19. The sides of a Delta ^("le') ABC be 8, 7, 6 and smallest angle is C t...

    Text Solution

    |

  20. The sides of a Delta ^("le') ABC be 8, 7, 6 and smallest angle is C t...

    Text Solution

    |