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Prove that sqrt3 is an irrational numbe...

Prove that `sqrt3` is an irrational number

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CBSE MODEL PAPER-MATHEMATICS BASIC-PART B
  1. Find a relation between x and y such that the point (x ,y) is equidist...

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  2. In the fig. if LM || CB and LN || CD, prove that (AM)/(AB) = (AN)/(AD...

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  3. A quadrilateral ABCD is drawn to circumscribe a circle. Prove that A ...

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  4. Draw a line segment of length 7.8 cm and divide it in the ratio 5:8. M...

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  5. Given 15 cot A =8, find sin A and sec A.

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  6. Find tan P – cot R

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

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  8. Prove that sqrt3 is an irrational number

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  9. Two tangents PA and PB are drawn to a circle with centre O from an ext...

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

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

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

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

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

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

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

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

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  18. A 1.2m tall girl spots a balloon moving with the wind in a horizontal ...

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  19. The pth, qth and rth terms of an A.P. are a, b and c respectively. Sho...

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

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