Home
Class 12
MATHS
Let C be incircle of DeltaABC. If the ta...

Let C be incircle of `DeltaABC`. If the tangents of lengths `t_(1),t_(2) and t_(3)` are drawn inside the given triangle parallel to side a,b, and c, respectively, then `(t_(1))/(a) + (t_(2))/(b) + (t_(3))/(c)` is equal to

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|24 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|15 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERSISE 1: SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

lim_(t to0)(1-(1+t)^(t))/(In (1+t)-t) is equal to

If A, B, C, be the centres of three co-axial circles and t_(1),t_(2),t_(3) be the lengths of the tangents of them any piont, prove that bar(BC).t_(1)^(2)+bar(CA).t_(2)^(2)+bar(AB).t_(3)^(2)=0

The base of a triangle is divided into three equal parts. If t_1, t_2,t_3 are the tangents of the angles subtended by these parts at the opposite vertex, prove that (1/(t_1)+1/(t_2))(1/(t_2)+1/(t_3))=4(1+1/(t_2)^ 2))dot

If t_n=1/4(n+2)(n+3) for n=1,2,3, , then 1/(t_1)+1/(t_2)+1/(t_3)++1/(t_(2003))=

Show that the relation R defined in the set A of all triangles as R={(T_(1),T_(2)):T_(1) is similar to T_(2)} is an equivalence relation.

Find the matrices of transformation T_(1)T_(2) and T_(2)T_(1) when T_(1) is rotated through an angle 60^(@) and T_(2) is the reflection in the Y-asix Also, verify that T_(1)T_(2)!=T_(2)T_(1).

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. If the sides of a Delta ABC are in AP and a is the smallest sie, then ...

    Text Solution

    |

  2. If p is the produce of the since of angles of a triange, and q the pro...

    Text Solution

    |

  3. Let C be incircle of DeltaABC. If the tangents of lengths t(1),t(2) an...

    Text Solution

    |

  4. If the sine of the angles of DeltaABC satisfy the equation c^(3)x^(3)-...

    Text Solution

    |

  5. In triangle ABC, medians AD and CE are drawn AD = 5, angle DAC = pi//8...

    Text Solution

    |

  6. In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +s...

    Text Solution

    |

  7. Solve the following system of inequalities graphically 2x + 4y le 8 , ...

    Text Solution

    |

  8. In a delta ABC, a,c, A are given and b(1) , b(2) are two values of thi...

    Text Solution

    |

  9. In a triangle ABC, if cot A =(x^(3)+x^(2) +x)^(1/2), cot B= (x+x^(-1)+...

    Text Solution

    |

  10. In a Delta ABC, a,b,A are given and c(1), c(2) are two values of the ...

    Text Solution

    |

  11. In Delta ABC, if a = 10 and b cot B + c cot C = 2(r + R) then the maxi...

    Text Solution

    |

  12. Find the second order derivative of the function x^3 + 4x^2 +2

    Text Solution

    |

  13. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

    Text Solution

    |

  14. In triangle A B C ,ifPdotQ ,R divides sidesB C ,A C , and A B , respec...

    Text Solution

    |

  15. Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a ...

    Text Solution

    |

  16. Differentiate the following function w.r.t x sin^3x+cos^6x

    Text Solution

    |

  17. If tangents PA and PB from a point to a circle with centre O are incli...

    Text Solution

    |

  18. Differentiate the following w.r.t x (3x^2-9x+5)^9

    Text Solution

    |

  19. In a triangle a = sqrt5,b = 2, /A=pi/6 and the two possible values of...

    Text Solution

    |

  20. If R(1) is the circumradius of the pedal triangle of a given triangle ...

    Text Solution

    |