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Prove that sqrt3 is an irrational numbe...

Prove that `sqrt3` is an irrational number

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AGRAWAL PUBLICATION-SAMPLE PAPER 1-EXERCISE
  1. Draw a line segment of length 7.8 cm and divide it in the ratio 5:8. M...

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  2. How many terms of the AP: 9, 17, 25, . . . must be taken to give a sum...

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  3. Prove that sqrt3 is an irrational number

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  4. Two tangents T P and T Q are drawn to a circle with centre O fro...

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  5. Meena went to a bank to withdraw Rs.2,000. She asked the cashier to gi...

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  6. A box contains 90 discs which are numbered from 1 to 90. If one disc i...

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  7. A box contains 90 discs which are numbered from 1 to 90. If one disc i...

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  8. A box contains 90 discs which are numbered from 1 to 90. If one disc i...

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  9. One card is drawn from a well shuffled deck of cards . Find the probab...

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  10. One card is drawn from a well shuffled deck of 52 cards. Find the prob...

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  11. One card is drawn from a well - shuffled deck of cards . Find the prob...

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  12. Metallic spheres of radii 6cm, 8cm and 10cm respectively are melted to...

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  13. Prove that (sinA -cos A+1)/(sin A + cos A - 1) = (1)/(sec A - tan A)

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  14. A motor boat whose speed in still water is 18 km/h, takes 1 hour more ...

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  15. Find two consecutive odd positive integers, sum of whose squares is 29...

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  16. The angles of depression of the top and bottom of a 8m tall building f...

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  17. A 1.2 m tall girl spots a ballon moving with the wind in a horizontal ...

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  18. The p^(t h),q^(t h)and r^(t h)terms of an A.P. are a, b, c, respectiv...

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  19. A survey regarding the heights in (cm) of 51 girls of class X of a sch...

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  20. If xy=180 and HCF(x,y)=3, then find the LCM(x,y). The decimal repres...

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