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State and prove the Pythagoras theorem....

State and prove the Pythagoras theorem.

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AGRAWAL PUBLICATION-SAMPLE PAPER 8-EXERCISE
  1. Solve for x : (1)/(x + 4) - (1)/(x-7) = (11)/(30), x ne 4, 7

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  2. Using the quadratic formula,solve for x: 3x^(2)+2sqrt(5)x-5=0

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  3. State and prove the Pythagoras theorem.

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  4. The angle of elevation of the top of a tower from a point on the gr...

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  5. After how many places will the decimal expansion of (189)/(125) termin...

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  6. Insert a rational and irrational number between 2 and 3

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  7. Find the zeros of the polynomial 4x^(2) -12x+9.

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  8. If x=a,y=b is the solution of the equations x-y=2 and x+y=4, then find...

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  9. Find discriminant of the quadratic equation 2x^2+4x-7=0

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  10. Find the roots of quadratic equation x^2 - 4x + 2.

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  11. If Sn = 5n^2 + 3n, then find its n^(th) term.

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  12. In an A.P., a=-6 and d = 2. Find the sum of its first 20 terms.

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  13. Write the relationship between the coefficients, if the following pair...

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  14. In a triangleABC, right-angled at B, if AB : AC = 1:2, then find the v...

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  15. If tan theta + cot theta = 2 then the value of tan^2 theta + cot^2 the...

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  16. If tan A = 1 (0^@ lt A lt 90^@) and cos B =(1)/(sqrt2)(0^@ lt B lt 90^...

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  17. Evaluate : sin^2 60^@+ 2tan 45^@-cos^2 30^@

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  18. What would be the area of a circle whose circumference is 22 cms. ?

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  19. The volume of two sphere are in the ratio 8:27. The ratio of their sur...

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  20. Find the class-marks of the class interval 10-25.

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