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If A,B and C are angles of a triangle th...

If `A,B` and `C` are angles of a triangle then the determinant
`|(-1,cosC,cosB),(cosC,-1,cosA),(cosB,cosA,-1)|` is equal to

A

`0`

B

`-1`

C

`-2`

D

`-3`

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-DETERMINANTS-EXERCISE (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  2. Suppose pont (x,y,z) in space satisfies the equation |(x^(2)+1,xy,xz...

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  3. If A,B and C are angles of a triangle then the determinant |(-1,cosC...

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  4. Let Delta=|(a,x,x),(x,b,x),(x,x,c)| and f(x)=(x-a)(x-b)(x-c) Det...

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  5. Straight line |(2-x-y,4,4),(2x,x-y-2,2x),(2y,2y,y-2-x)|=0 passes t...

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  6. Suppose a in R. Let f(x)=|(x+a,x,x),(x,x+a,x),(x,x,x+a)|then f(2 x)-f(...

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  7. If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...

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  8. If alpha,beta & gamma are the roots the equations x^(3)+px+q=0 then th...

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  9. If a,b,c are non-zero real number such that |(bc,ca,ab),(ca,ab,bc),(ab...

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  10. The determinant Delta =|(lamda a , lamda^(2)+a^(2),1),(lamda b,lamda^(...

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  11. If alpha,beta,gamma are real numbers, then determinant Delta=|(sin^2 a...

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  12. If bc+ca+ab=18 and |(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3))...

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  13. If x!=0 the determinant Delta=|(a(0),a(1),a(2)),(-x,x,0),(0,-x,x)| ...

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  14. If x epsilon R the determinant Delta=|(1,cosx,0),(-1,1-cosx,sinx+cos...

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  15. The factors of |(x,a,b),(a,x,b),(a,b,x)|, are

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  16. Find the maximum value of |1 1 1 1 1+sintheta1 1 1 1+costheta|

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  17. If |(x +a,b,c),(a,x +b,c),(a,b,x +c)| = 0, then x equals

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  18. The determinant |(sec^(2)theta, tan^(2)theta,1),(tan^(2)theta, sec^(...

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  19. If Delta=|(-a,2b,0),(0,-a,2b),(2b,0,-a)|=0 then

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  20. The determinant Delta=|(1,1+i,i),(1+i,i,1),(i,1,1+i)| equals

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