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Show that the function f in A = R - {2/3...

Show that the function `f` in `A = R - {2/3}` defined as `f(x) = (4x+3)/(6x-4)` is one one and onto. Hence find `f^(-1)`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Prove that the relation R in the set A={1,2,3,4,5,6,7} given by R={(a,...

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  2. If A and B are independent events with P(A)=3/7 and P(B)=2/5 then fin...

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  3. Show that the function f in A = R - {2/3} defined as f(x) = (4x+3)/(6x...

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  4. A company manufactures two types of novelty souvenirs made of plywo...

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

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  6. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

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  7. Find the vector equation of the line passing through (2,1,-1) and para...

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  8. Prove that the radius of the right circular cylinder of greatest cu...

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

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  10. Find the general solution of the differential equation e^(y-x) dy/dx ...

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

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

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  13. The function f : R rarr R given by f(x) = - |x-1| is (a) continuous...

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

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  15. Find a vector vecr equally inclined to the three axes and whose magnit...

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

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  17. The corner points of the feasible region of an LPP are (0,0), (0,8), (...

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  18. The coordinates of the foot of the perpendicular drawn from the point ...

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  19. If A={1,3,5}, then the number of equivalence relations on A containing...

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  20. Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1...

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