Home
Class 12
MATHS
Statement I In any triangle ABC, the squ...

Statement I In any triangle ABC, the square of the length of the bisector AD is `bc(1-(a^(2))/((b+c)^(2))).`
Statement II In any triangle ABC length of bisector AD is `(2bc)/((b+c))cos ((A)/(2)).`

A

(a)Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

(b)Both Statement I and Statement II are correct and Statement II is not the correct explanation of Statement I

C

(c)Statement I is correct but Statement II is incorrect

D

(d)Statement I is correct but Statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|25 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 5: MATCHING TYPE QUESTIONS|4 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

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

In any triangle ABC, prove that : a sin (A/2+B)= (b +c) sin frac (A)(2) .

In any triangle ABC, prove that : sin frac (B-C)(2) = (b-c)/(a) cos frac (A)(2) .

In any triangle ABC, prove that : (b-c)/a= (sin frac (B-C)(2))/(cos frac (A)(2)) .

In any triangle ABC, then by vectors, prove that : a=b cos C+c cos B .

Statement I: If in a triangle ABC, sin ^(2) A+sin ^(2)B+sin ^(2)C=2, then one of the angles must be 90^(@). Statement II: In any triangle ABC cos 2A+ cos 2B+cos 2C=-1-4 cos A cos B cos C

In any triangle ABC, prove that : a (cos C - cos B) = 2 (b-c) cos^2 frac (A)(2) .

In any triangle ABC, prove that : sin frac (A-B)(2)= (a-b)/c cos frac (C)(2) .

Prove that in any triangle ABC,c=a cos B+b cosA

In any triangle ABC, prove that : a (b cos C-c cos B) = b^2 -c^2 .

In any triangle ABC, prove that : a (cos B + cos C) = 2 (b +c) sin^2 frac (A)(2) .