Home
Class 11
MATHS
If cos^(-1) x + cos^(-1) y + cos^(-1) z ...

If `cos^(-1) x + cos^(-1) y + cos^(-1) z = 3pi ` , then

A

`x^(2)+y^(2)+z^(2)=2xyz`

B

`x^(2)+y^(2)+z^(2)+2xyz=0`

C

`x^(2)+y^(2)+z^(2)+2xyz=1`

D

`xy+yz+zx=xyz`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-II|71 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|7 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

Similar Questions

Explore conceptually related problems

If Cos^(-1)x+Cos^(-1)y+Cos^(-1)z=pi,"then "x^(2)+y^(2)+z^(2)+2xyz=

If the angles made by the normal of the plane 2x + 3y - 4z - 16=0 with the coordinates axes X, Y, Z are Cos ^(-1) k _(1), Cos ^(-1) k _(2), Cos^(-1) k _(3), then k _(1), k _(2), k _(3) respectively are

If Sin^(-1)(cos^(-1)x) lt 1 and cos^(-1)(cos^(-1)x) lt 1" then "x in

If Cos^(-1)lamda+Cos^(-1)mu+Cos^(-1)V=3pi then lamda mu+muV+Vlamda=

Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)" be "pi . If x satisfies the equation ax^(3)+bx^(2)+cx-1=0 then the value of (b-a-c) is

If cos x + cos y + cos z =0 = sin + sin y +sin z then tan (x-y) =