Home
Class 12
MATHS
Statement I If in a triangle ABC sin ^(2...

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

A

Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

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

C

Statement I is correct but Statement II is incorrect

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 Exercise (Single Integer Answer Type Questions)|16 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

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

In a triangle ABC,cos^(2)A+cos^(2)B+cos^(2)C=

In any triangle ABC, prove that: a cos A+b cos B+c cos C=2a sin B sin C

For any triangle ABC,prove that a cos A+b cos B+c cos C=2a sin B sin C

Prove that in triangle ABC,cos^(2)A+cos^(2)B-cos^(2)C=1-2sin A sin B cos C

In any Delta ABC, prove that :a cos A+b cos B+c cos C=2a sin B sin C

If a triangle ABC, sin A = sin^(2) B and 2 cos^(2)A = 3 cos^(2)B , then the Delta ABC is :

If in a Delta ABC, cos B = (sin A)/(2 sin C), then the triangle is