IFDelta1=|{:(1,cosalpha,cosbeta),(cosalp...

IF`Delta_1=|{:(1,cosalpha,cosbeta),(cosalpha,1,coygamma),(cosbeta,cosgamma,1):}|,Delta_2|{:(0,cosalpha,cosbeta),(cosalpha,0,cosgamma),(cosbeta,cosgamma,0):}|`and`Delta_1=Delta_2` then show that `cos^2alpha+cos^2beta+cos^2gamma=1`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

MATRICES
AAKASH SERIES|Exercise Exercise - 3.4 (Long Answer Questions)|6 Videos
MATRICES
AAKASH SERIES|Exercise Exercise - 3.5 (Very Short Answer Questions)|3 Videos
MATRICES
AAKASH SERIES|Exercise Exercise - 3.4 (Very Short Answer Questions)|14 Videos
MATHEMATICAL INDUCTION
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos
MAXIMA & MINIMA
AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2alpha+cos^2beta+cos^2gamma=

A=[(1, cos (beta-alpha),cos(gamma-alpha)),(cos (alpha-beta), 1, cos(gamma-beta)),(cos (alpha-gamma),cos (beta-gamma),1)]=

If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "cos3alpha+cos3beta+cos3gamma

If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then sin^2alpha+sin^2beta+sin^2gamma=

If cos alpha+cos beta+cos gamma=0 & sin alpha +sin beta +sin gamma=0 . Then Prove that sin2alpha+sin2beta+sin2gamma=0

If alpha+beta=gamma. then cos^(2)alpha+cos^(2)beta+cos^(2)gamma-2 cos alpha cos beta cos gamma=

If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(2alpha-beta-gamma)+cos(2beta-gamma-alpha)+cos(2gamma-alpha-beta)=

AAKASH SERIES-MATRICES -Exercise - 3.4 (Short Answer Questions)

Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2...
Text Solution
|
Show that |{:(bc,b+c,1),(ca,c+a,1),(ab,a+b,1):}|=(a-b)(b-c)(c-a)
Text Solution
|
Show that |(b+c,c+a,a+b),(a+b,b+c,c+a)(a,b,c)|=a^(3)+b^(3)+c^(3)-3abc.
Text Solution
|
Show that |{:(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab):}|=0
Text Solution
|
Show that |{:(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b):}|=2(a+b+c)^3
Text Solution
|
|(1+a,b,c),(a,1+b,c),(a,b,1+c)|=
Text Solution
|
|(a^(2)+2a,2a+1,1),(2a+1,a+2,1),(3,3,1)|
Text Solution
|
Show that |{:(x,a,a),(a,x,a),(a,a,x):}|=(x+2a)(x-a)^2
Text Solution
|
Without expanding the determinant, prove that (i) |{:(a,a^(2),bc),(b,b...
Text Solution
|
IFDelta1=|{:(1,cosalpha,cosbeta),(cosalpha,1,coygamma),(cosbeta,cosgam...
Text Solution
|
If Delta(1)=|{:(a(1)^(2)+b(1)+c(1),a(1)a(2)|b(2)|c(2),a(1)a(3)+b(3)+c(...
Text Solution
|