Home
Class 11
MATHS
In triangle ABC,angleC=(2pi)/3 and CD i...

In triangle `ABC,angleC=(2pi)/3 and CD` is the internal angle bisector of `angleC` meeting the side `AB` at `D.` If Length `CD` is `1,` then H.M. of `a and b` is equal to : (a) `1` (b) `2` (c) `3` (d) `4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

In triangle A B C ,/_C=(2pi)/3 and C D is the internal angle bisector of /_C , meeting the side A Ba tD . If Length C D is 1, the H.M. of aa n db is equal to: 1 (b) 2 (c) 3 (d) 4

In a triangle ABC , AB = AC and angle A = 36^(@) If the internal bisector of angle C meets AB at D . Prove that AD = BC.

ABC is a triangle and the internal angle bisector of angle A cuts the side BC at D. If A=(3,-5), B(-3,3), C=(-1,-2) then find the length AD

ABC has integral side lengths. Internal angle bisector of angle B meets side AC at D. If AD = 3, DC = 8, then perimeter of ABC is- (1) 37 (2) 36 (3) 35 (4) 33

In a triangle ABC, D is a point on BC such that AD is the internal bisector of angle A . Let angle B = 2 angle C and CD = AB. Then angle A is

The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the internal angle bisector of /_B meets the side A C in D , then find the length A Ddot

The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the internal angle bisector of /_B meets the side A C in D , then find the length A Ddot

The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the internal angle bisector of /_B meets the side A C in D , then find the length A Ddot

In triangle ABC, D is mid-point of AB and CD is perpendiicular to AB. Bisector of angleABC meets CD at E and AC at F. Prove that: E is equidistant from A and B

In triangle ABC, side AC is greater than side AB. If the internal bisector of angle A meets the opposite side at point D, prove that : angleADC is greater than angleADB .

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

    Text Solution

    |

  2. Find the number of integral value of n so that sinx(sinx+cosx)=n has a...

    Text Solution

    |

  3. In triangle ABC,angleC=(2pi)/3 and CD is the internal angle bisector ...

    Text Solution

    |

  4. Let P = [theta : sintheta – costheta = sqrt2 costheta) andQ= {theta : ...

    Text Solution

    |

  5. C(10,2) = C(n,2).Find n.

    Text Solution

    |

  6. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

    Text Solution

    |

  7. Let C be incircle of A B Cdot If the tangents of lengths t1,t2 and t3...

    Text Solution

    |

  8. If cos(x-y),cosx and "cos"(x+y) are in H.P., then cosxsec(y/2) is

    Text Solution

    |

  9. For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real sol...

    Text Solution

    |

  10. tan^6(pi/9)-33tan^4(pi/9)+27tan^2(pi/9) is equal to (a)0 (b) sqrt3 (...

    Text Solution

    |

  11. If x, y in [0,2pi] then find the total number of order pair (x,y) sati...

    Text Solution

    |

  12. For a positive integer n , let fn(theta)=(tantheta//2)(1+sectheta)(1+s...

    Text Solution

    |

  13. If area of a triangle is 2 sq. units, then find the value of the pr...

    Text Solution

    |

  14. Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx...

    Text Solution

    |

  15. Given that a , b , c , are the side of a A B C which is right angle...

    Text Solution

    |

  16. In equilateral triangle ABC with interior point D, if the perpendicula...

    Text Solution

    |

  17. If (sinalpha)x^2-2x+bgeq2, for all real values of xlt=1a n dalpha in (...

    Text Solution

    |

  18. Let f(theta)=sintheta(sintheta+sin3theta)dot Then f(theta) is (a)g...

    Text Solution

    |

  19. In A B C ,(cot A/2+cotB/2)(asin^2B/2+bsin^2A/2)= cotC (b) ccotC (c...

    Text Solution

    |

  20. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)...

    Text Solution

    |