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If x - (1)/(x) = (1)/(3) evaluate x^(3...

If `x - (1)/(x) = (1)/(3)`
evaluate `x^(3) - (1)/(x^(3))`

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ICSE-ICSE EXAMINATION PAPER 2020 -SECTION - B
  1. If x - (1)/(x) = (1)/(3) evaluate x^(3) - (1)/(x^(3))

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  2. If 13 sin A = 12 Find sec A - tan A.

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  3. A sum of Rs. 10,000 yields Rs. 3310 as compound interest in 3 years. I...

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  4. In the given figure O is the centre of the two concentric circles. A l...

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  5. If the mean of the observations a, a + 6, a + 2, a + 8 and a + 4 is 11...

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  6. Factorize : 25a^(2) - 9b^(2) + 12bc - 4c^(2)

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  7. In the given figure ABCD is trapezium, P is the mid-point of side AD a...

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  8. Solve the following pair of linear equations using cross multiplicatio...

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  9. In the given figure ABCD is a quadrilateral. BP is drawn parallel to A...

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  10. The cost of moving a circular field at Rs. 16 per sq m is Rs. 2464, fi...

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  11. In the given triangle ABC, AD bot BC. AB = 13 cm, BD = 5 cm, DC = 4 cm...

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  12. log(2)a = 3, log(3)b = 2, log(4) c = 1 Find the value of 3a + 2b - 1...

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  13. Use graph paper for this equation. Draw the graph of 3x-2y=5 and 2x=3y...

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  14. Solve for x. (root(3)((3)/(5)))^(2x + 1) = (125)/(27)

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  15. If 1 is subtracted from the numerator of a fraction is becomes (2)/(3)...

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  16. In the given figure, PQR is a triangle where PS, QS and RS are the bis...

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  17. Evaluate without using trigonometric tables : tan 20.tan 40^(@) tan ...

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  18. Factorize : x^(3) - 3x^(2) + x - 3

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  19. In the given figure, 'O' is the centre of the circle, Arc AB = Arc BC ...

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  20. ABCD is a parallelogram in which angle DAB = 80^(@). Bisector of angle...

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  21. Given three points P(-1, 2), A(2, k) and B(k, -1). Given that PA = PB....

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