Home
Class 12
MATHS
<b>Statement I:</b> If in a triangle ABC...

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`

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 but Statement II is not the correct explanation of Statement I

C

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

D

(d) Statement II 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

If A + B + C =pi , prove that : cos 2A + cos 2B + cos 2C = -1-4 cos A cos B cos C .

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

If A + B + C =pi , prove that : cos 2A - cos 2B + cos 2C= 1-4 sin A cos B sin C .

In a triangle ABC, cos 3A + cos 3B + cos 3C = 1 , then find any one angle.

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

If A + B + C =pi , prove that : cos 2A + cos 2B -cos 2C= 1-4sin A sin B cos C .

If A + B + C =pi , prove that : cos 2A - cos 2B- cos 2C= -1+4 cos A sinB sin C .

Prove that a cos A + b cos B + c cos C = 4R sin A sin B sin C

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

In a triangle ABC, if a = 18, b = 24 and c = 30, find cos A, cos B and cos C.