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If a ,\ b ,\ c >0\ a n d\ x ,\ y ,\ z in...

If `a ,\ b ,\ c >0\ a n d\ x ,\ y ,\ z in R ,` then the determinant `|\ \ (a^x+a^x)^2(a^x-a^(-x))^2 1(b^y+b^(-y))^2(b^y-b^(-y))^2 1(c^z+c^(-z))^2(c^z-c^(-z))^2 1|` is equal to- a.`a^x b^y c^x` b. `a^(-x)b^(-y)c^(-z)\ ` c.`a^(2x)b^(2y)c^(2x)` d. zero

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ALLEN -DETERMINANTS-All Questions
  1. 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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  2. For positive numbers x ,\ y\ a n d\ z the numerical value of the deter...

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  3. If a ,\ b ,\ c >0\ a n d\ x ,\ y ,\ z in R , then the determinant |\ ...

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  4. 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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  5. 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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  6. Let a determinant is given by A=|[a,b,c],[p,q,r],[x,y,z]| and suppose ...

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

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

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

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

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  14. 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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  15. The determinant |a b aalpha+bb c balpha+c aalpha+bbalpha+c0|=0, if a ...

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  16. Let f(x)=|1+sin^2x cos^2x4sin2xsin^2\ \ x1+cos^2x4sin2xsin^2xcos^2x1...

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  17. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

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  18. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

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  19. Given that q^2-p r <0,\ p >0, then the value of {:|(p, q, px+qy), ...

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  20. If |{:(a, a, x), (m, m, m),(b, x, b):}|=0,\ then x may be equal to- ...

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