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If x,y,z are different and Delta=|[x,x^2...

If `x,y,z` are different and `Delta=|[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]|=0`, then using properties of determinants, show that `xyz=1`

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    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. The probability of two students A and B coming to school are 2/7 and 4...

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  2. If y=(sinx)^x+sin^(-1)sqrt(1-x^2) then find (dy)/(dx)

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  3. If x,y,z are different and Delta=|[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z...

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  4. Find the value of (x-y) from the matrix equation 2[(x,5),(7,y-3)]+[(-...

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  5. int cos2x*cos4x*cos6x dx

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  6. Solve the following differential equation: (y+3x^2)(dx)/(dy)=x

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  7. Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

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  8. Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lamb...

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  9. Find the interval in which the function f given by f(x)=sin2x+cos2x, 0...

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  10. Using vectors, prove that the points (2,-1,3) ,(3,-5,1) and (-1,11,9) ...

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  11. Obtain the inverse of the following matrix, using elementary operation...

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  12. Using vectors, find the value of x such that the four points A(x,5,-1)...

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  13. For any two vectors vec a and vec b , prove that (vec a xx vec b )^2=...

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  14. Find the co-ordinates of the point, where the line ((x+2)/1)=((y-5)/3)...

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  15. Using matrices solve the following system of linear equations: {(2x+3y...

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  16. Find int ((x-1)/ ((x-2)(x-3))) dx

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  17. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...

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  18. Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x))) dx

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  19. Find the differential equation representing the family of curves y=-Ac...

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  20. If sqrt(1-x^2) + sqrt(1-y^2) = a(x-y), show dy/dx = sqrt((1-y^2)/(1-x^...

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