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

If `A+B+C=pi,\ t h e n\ |"sin"(A+B+C) sinB cosC -sinB 0 tanA "cos"(A+B) -tanA 0|` is equal to a. 2sinB tanA cosC` 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 a1, a2 an ,\ a(n+1) are in GP and a1>0AAI ,\ t h e n |loganloga(n+2...

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  3. If A+B+C=pi,\ t h e n\ |"sin"(A+B+C) sinB cosC -sinB 0 tanA "cos"(A+B)...

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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 p^(th),q^(th)and r^(th) tern of G.P are a,b and c respectively then...

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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+3x, x-1, x+3],[x+1, 2-x, x-3], [x-3...

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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\ a n d\ x ,\ y ,\ z in R , then the determinant |\ ...

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  10. For a non-co real a,b and c |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,...

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

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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\ and\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 the...

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  14. If a ,\ b ,\ &\ c are non zero real numbers, then |b^2c^2bcb+c c^2a^2...

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  15. If f(x)=|1x x+1 2x x(x-1)(x+1) x3 x(x-1) x(x-1)(x-2) (x+1)x(x-1)| then...

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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 linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y...

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  19. Find the equation of the straight line parallel to Y - axis and at a d...

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  20. The determinant |[a^2, a^2-(b-c)^2,bc],[b^2,b^2-(c-a)^2,ca],[ c^2,c^2-...

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