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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 9-EXERCISE
  1. Prove (tantheta+2)(2tantheta+1)=5tantheta+2sec^2theta.

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  2. A cow is tied with a rope of length 14m at the corner of a rectangular...

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  3. Prove that sqrt3 is an irrational number

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  4. Find the roots of the equation : (1)/(x+4)-(1)/(x-7)=(11)/(30)(xne-4,7...

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  5. Find a fraction which becomes (1)/(2) when the denominatot is increase...

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  6. In the given figwe, a square OABC is inscribed in a quadrant OPBQ. If ...

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  7. Draw a circle of radius 3 cm. From a point 5 cm from the centre of the...

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  8. State and prove the Pythagoras theorem.

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  9. The annual rainfall record of a city for 66 days is given below in the...

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  10. Prove that (cot theta + "cosec" theta -1 )/(cot theta - "cosec" thet...

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  11. Prove that (tanA)/((1-cotA))+(cotA)/((1-tanA))=(1+tanA+cotA).

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  12. If the sum of the zeros of the polynomial 2x^(2)+3kx+3 is 6, then find...

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  13. When a pair of linear equations is said to be inconsistent?

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  14. Find the roots of the quadratic equation (3x-5)(x+3)=0.

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  15. Find the sum of natural numbers from 51 to 100.

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  16. Find the 8^(th) term from the end of the A.P..-12,-7,-2, …,68

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  17. How many terms of AP: 18, 16, 14, … make the sum zero?

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  18. For what value of a is -4 zero of the polynomial p(x)=x^(2)-x-(2a+2)?

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  19. If A(6,2),B(4,2)andC(6,4) are the vertices of DeltaABC, then find the ...

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  20. The base PQ of two equilateral triangles PQR and PQR with side 2a lies...

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