Home
Class 12
MATHS
If a^(2)+b^(2)+c^(2)=1, then the range o...

If `a^(2)+b^(2)+c^(2)=1`, then the range of `ab+bc+ca` is

A

`[-1//2, 1]`

B

`[-1//2, oo)`

C

`[1, oo)`

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A(FUNCTIONS)|140 Videos
  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If a^(2)+b^(2)+c^(2)=2 then the range of ab+bc+ca is

If bc+ca+ab=18 , and |(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3))|=lambda|(1,1,1),(a,b,c),(a^(2),b^(2),c^(2))| the value of lambda is

If A(2, -1), B(3, 1), C(1, -2) then the radical centre of the circles with AB, BC, CA as diameters is

Find the product (a-b-c) (a ^(2) + b ^(2) + c ^(2) - ab + bc-ca) without actual multiplication.

Fractorise 4a ^(2) + b ^(2) + c ^(2) -4ab + 2bc-4ca using suitable identity.

If the mid points of the sides BC, CA and AB of a triangle ABC are respectively (2,1) (-01,-2)and (3,3) then the equation of the side BC is

a^(2)-b^(2)=bc rArr A:B