Home
Class 12
MATHS
If A=[(a,b),(b,a0] and A^2=[(alpha, beta...

If `A=[(a,b),(b,a0] and A^2=[(alpha, beta0,(beta, alpha)]` then (A) `alpha=a^2+b^2, beta=ab` (B) `alpha=a^2+b^2, beta=2ab` (C) `alpha=a^2+b^2, beta=a^2-b^2` (D) `alpha=2ab, beta=a^2+b^2`

A

`alpha=2ab,beta=a^(2)+b^(2)`

B

`alpha=a^(2)+b^(2),beta=ab`

C

`alpha=a^(2)+b^(2),beta=2ab`

D

`alpha=a^(2)+b^(2),beta=a^(2)-b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 3)|23 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 1)|14 Videos

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

Similar Questions

Explore conceptually related problems

If A=[(a,b),(b,a)] and A^2=[(alpha, beta),(beta, alpha)] then (A) alpha=a^2+b^2, beta=ab (B) alpha=a^2+b^2, beta=2ab (C) alpha=a^2+b^2, beta=a^2-b^2 (D) alpha=2ab, beta=a^2+b^2

If tan alpha=(1-cos beta)/(sin beta), then a )tan3 alpha=tan2 beta(b)tan2 alpha=tan beta(c)tan2 beta=tan alpha(d) none of these

Knowledge Check

  • If A=[(1,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)] then

    A
    `alpha=a^(2)+b^(2),beta=ab`
    B
    `alpha=a^(2)+b^(2),beta=2ab`
    C
    `alpha=a^(2)+b^(2),beta=a^(2)-b^(2)`
    D
    `alpha=2ab,beta=a^(2)+b^(2)`

  • If A=[(a,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)] then (alpha, beta) is

    A
    `(a^(2)+b^(2),ab)`
    B
    `(a^(2)+b^(2),2ab)`
    C
    `(a^(2)+b^(2),a^(2)-b^(2))`
    D
    `(2ab,a^(2)+b^(2))`

  • A=[(1,0,0),(0,alpha,beta),(0,beta,alpha)] and abs(2A)^3=2^21 then find alpha (alpha, beta inI^+)

    A
    3
    B
    4
    C
    5
    D
    6

    • Similar Questions

    Explore conceptually related problems

    If tan(alpha-beta)=(sin2 beta)/(3-cos2 beta) then (a) tan alpha=2tan beta(b)tan beta=2tan alpha(c)2tan alpha=3tan beta(d)3tan alpha=2tan beta

    If cot(alpha+beta)=0, then sin(alpha+2 beta) can be (a)-sin alpha(b)sin beta(c)cos alpha(d)cos beta

    If cos ( theta - alpha ) = a, cos ( theta - beta ) =b , then sin^(2) ( alpha - beta ) + 2ab cos ( alpha - beta)=

    If alpha,beta are non-real roots of ax^(2)+bx+c=0,(a,b,c in R), then (A)alpha beta=1(B)alpha=beta(C)(a beta)/(alpha beta)=1(D)alpha=bar(beta)

    If a tan alpha+b tan beta=(a+b)tan((alpha+beta)/(2)) where alpha!=beta ,prove that a cos beta=b cos alpha

    Home
    Profile