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State and prove Basic Proportionality Theoram (Thales Theoram)

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AGRAWAL PUBLICATION-SAMPLE PAPER 6-EXERCISE
  1. Two poles of equal heights are standing opposite each other on either...

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  2. Prove that: (tantheta/(1-tantheta))-(cottheta/(1-cottheta))=(costheta+...

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  3. State and prove Basic Proportionality Theoram (Thales Theoram)

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  4. Write the denominator of the rational number ( 771)/( 3000)in the for...

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  5. If two positive integers m and n are expressible as as m = ab^(2) and...

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  6. Find the value of the remainder, when x^(2) + (a + b) x + ab is divi...

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  7. If the sum of a positive number and its square is 240 , then find th...

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  8. If x, x - 2 and 3x are in AP, then find the value of x

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  9. Determine the 12^(th) term of the AP, 5, 8, 11, 14, . . . . . .

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  10. The sum and the product of the roots of the quadratic equations 2 x^(...

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  11. Find the ratio in which x-axis divides the join of (2,-3) and (5,6).

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  12. The distance between the points (a cos theta+bsin theta, 0) and (0, a ...

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  13. Plotting the points A ( - 4, 6) and B ( - 4, -6) on the coordinate a...

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  14. Check if the three sides of lengths 3 cm 6 cm and 8 cm can form a ri...

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  15. Find the length of a altitude in on equilateral triangle of side 'a' ...

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  16. State and prove the Pythagoras theorem.

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  17. From the external point P tangents PA and PB are drawn to a circle wit...

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  18. Simplify (1 + tan ^(2) theta ) ( 1 + sin theta ) ( 1 - sin theta )

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  19. If 3 sec theta = 5, then find the value of cot theta

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  20. The total surface area of a cylinder of base radius r and height h is.

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