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Prove that 2sqrt3 is an irrational numbe...

Prove that `2sqrt3` is an irrational number

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  1. Has the rational number 441/(2^2 5^7 7^2) a terminating or a non-termi...

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  2. If the points A(4,3)a n dB(x ,5) are on the circle with centre O(2,3),...

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  3. Prove that 2sqrt3 is an irrational number

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  4. (ax)/b-(by)/a=a+b, ax-by=2ab

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  5. If alpha,beta are the zeroes of a polynomial, such that alpha+beta=6 a...

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  6. The sum of first six terms of an arithmetic progression is 42. The ...

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  7. If the sum of first p terms of an AP is ap^2+bp find the common differ...

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  8. S and T are points on the sides PQ and PR, respectively of Delta PQR,...

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  9. In Figure 3, AD |BC and BD=1/3CD. Prove that 2 CA^2 = 2 AB^2 + BC^2.

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  10. Find the ratio in which the point (2, y) divides the line segment join...

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  11. Find the ratio in which the point (2, y) divides the line segment join...

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  12. In Fig. 2, Delta AHK is similar to Delta ABC. If AK = 10 cm, BC = 3.5 ...

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  13. Find the area of the quadrilateral whose vertices, taken in order, ...

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  14. The area of an equilateral triangle is 49sqrt(3)c m^2 . Taking each an...

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  15. A die is thrown twice. What is the probability that (i)   5 will no...

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  16. Solve the following equation for x: 9x^2 - 9 (p+q)x + (2 p^2 + 5pq + 2...

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  17. If P(2,p) is the mid-point of the line segment joining the points A(6,...

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  18. Prove that the length of the tangents drawn from an external point to ...

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  19. If A(1, 2), B(4, 3) and C(6, 6) are the three vertices of a parallelog...

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  20. An aeroplane when flying at a height of 4000m from the ground passes ...

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