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If A+B+C=pi,\ t h e n\ |"sin"(A+B+C)s in...

If `A+B+C=pi,\ t h e n\ |"sin"(A+B+C)s in B cos C-s in B0t a n A"cos"(A+B)-t a n A0|` is equal to `2s in B t a n A cos C` b. `1` c.`0` d. none of these

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ALLEN-DETERMINANTS-All Questions
  1. For any "Delta"A B C the value of determinant |sin^2\ \ A cot A1sin^2B...

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  2. If Dp=|p 15 8p^2 35 9p^3 25 10|,\ t h e n\ D1+D2+D3+D5 is equal to- a....

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  3. If A+B+C=pi,\ t h e n\ |"sin"(A+B+C)s in B cos C-s in B0t a n A"cos"(A...

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  4. The number of real values of x satisfying |(x,3x+2,2x-1),(2x-1,4x,3x+1...

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  5. If a ,\ b ,\ c are pth, qth and rth terms of a GP, the |loga p1logb q1...

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  6. If a1, a2 an ,\ a(n+1) are in GP and a1>0AAI ,\ t h e n |loganloga(n+2...

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  7. If p x^4+q x^3+r x^2+s x+t=|x^2+3xx-1x+3x+1 2-xx-3x-3x+4 3x| then t is...

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  8. For positive numbers x ,\ y\ a n d\ z the numerical value of the deter...

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  9. If a, b,c> 0 and x,y,z in RR then the determinant |((a^x+a^-x)^2,(a...

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  10. For determinant |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(c^2+a^2)/b...

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  11. The equation |{:((1+x)^(2),(1-x)^(2),-(2+x^(2))),(2x+1,3x,1-5x),(x+1,2...

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  12. Let a determinant is given by A=|[a,b,c],[p,q,r],[x,y,z]| and suppose ...

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  13. If a!=b!=c\ a n d\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 t...

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  14. Without expanding show that |b^2c^2 bc b+cc^2a^2 ca c+a a^2b^2a b a+...

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  15. If f(x)=|(1, x, x+1), (2x, x(x-1), (x+1)x), (3x(x-1), x(x-1)(x-2), (x+...

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  16. The value of the determinant |{:(a, b,0), (0,a, b),(b,0,a):}| is equal...

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  17. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

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  18. If the system of equations x + 2y + 3z = 4, x+ py+ 2z = 3, x+ 4y +u z ...

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  19. The maximum value of Δ= ∣ ∣ ∣ ​ 1 1 1+cosθ ​ 1 1+sinθ 1 ​ 1...

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  20. If f^(prime)(x)=|[mx, mx-p, m x+p], [n, n+p, n-p], [mx+2n, m x+2n+p, m...

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