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

If x, y, z are different and `Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[z, z^2, 1+z^3]|=0` then show that `1+xyz=0`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-...

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  2. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

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

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  4. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

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  5. Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

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  6. Check whether the relation R in the set N of natural numbers given by ...

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  7. The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exa...

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  8. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  9. If I vec(a)I = 4 and -3 le lamda le 2,then Ilambda vec(a)I lies in ...

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  10. Differentiate sec^2 (x^2) with respect to x^2

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  11. If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) ...

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  12. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

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  13. The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is...

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  14. The function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both...

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  15. If the radius of the circle is increasing at the rate of 0.5 cm/s , th...

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  16. If y = f(x^2) and f'(x) = e^(sqrtx), then find (dy)/(dx)

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  17. A card from a pack of 52 cards is lost. From the remaining cards of ...

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  18. Find the coordinates of the point where the line (x-1)/3 = (y+4)/7 = (...

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  19. the coordinates of the foot of the perpendicular drawn from the point ...

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  20. Using the method of integration find the area of the triangle ABC, co...

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