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Let A=R-{3},B=R-{1}, and let f: AvecB be...

Let `A=R-{3},B=R-{1},` and let `f: AvecB` be defined by `f(x)=(x-2)/(x-3)` is `f` invertible? Explain.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Find the coordinates of the point where the line through the points (...

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  2. In a shop X, 30 tins of pure ghee and 40 tins of adulterated ghee whic...

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  3. Let A=R-{3},B=R-{1}, and let f: AvecB be defined by f(x)=(x-2)/(x-3) i...

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  4. A wire of length 36m is to be cut into two pieces. One of the piece...

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  5. Using the method of integration, find the area of the triangle ABC, c...

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  6. Find the equation of the plane through the line of intersection of t...

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  7. If e^y(x+1)=1 , show that (d^2y)/(dx^2)=((dy)/(dx))^2 .

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  8. Let A=[[2,-1],[3,4]],B=[[5,4],[7,4]],C=[[2,5],[3,8]]. Find a matrix D ...

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  9. If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.

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  10. Find the area enclosed between the parabola 4y=3x^2 and the straight l...

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  11. A variable plane which remains at a constant distance 3p from the orig...

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  12. Evaluate : int0^(3/2)|xsin pi x| dx

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  13. Determine the value of k for which the following function is continuou...

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  14. Find the distance between the planes 2x – y + 2z = 5 and 5x – 2.5y + ...

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  15. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

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  16. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

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  17. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

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  18. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

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  19. Find the vector equation of line passing through the point (1,2,-4)...

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  20. If |A| = 3 and A^-1 = [(3 -1), (-5/3 2/3)] then write the adj A.

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