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Prove that the area of the semicircle dr...

Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle

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AGRAWAL PUBLICATION-SAMPLE PAPER 5-EXERCISE
  1. If Q(0,\ 1) is equidistant from P(5,\ -3) and R(x ,\ 6) , find the ...

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  2. Draw a circle of radius 3 cm. Take a point P on the circle. At point P...

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  3. Prove that the area of the semicircle drawn on the hypotenuse of a rig...

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  4. If the median of the distribution given below is 28.5, find the val...

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  5. Which term of the AP : 3, 8, 13, 18, . . . , is 78?

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  6. P and Q are points on the sides C A and C B respectively of A B...

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  7. Find the number of places of decimal after which the decimal expansion...

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  8. If alpha and beta be the zeros of the polynomial x^(2)+x+1, then find ...

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  9. In a right-angled triangle ABC, right angled at B, AB = (x)/(2), BC = ...

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  10. If k, 2k-1 and 2k+1 are three consecutive terms of an A.P., find the v...

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  11. Determine the number of multiples of 4 that lie between 10 and 250.

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  12. Find the roots of the equation 3x^(2)+2x=0

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  13. Check if x=2, y=1 is a solution of the system of equations: 3x-2y=4, 2...

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  14. Find the coordinates of the point which divides the line segment joini...

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  15. State S A S similarity criterion.

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  16. If in triangles ABC and PQR, (AB)/(PQ) = (AC)/(RP) then write the equ...

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  17. Draw a line segment of length 8 cm and divides it in the ratio 2: 3

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  18. If 2cos3theta=sqrt(3)(0^(@)lethetale90^(@)), then find the value of th...

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  19. Evaluate : 2sin^(2)30^(@)tan60^(@)-3cos^(2)30^(@)sec60^(@)

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  20. In the figure, AC = 3 cm, BC = 6 cm and CD = 4 cm. Write the value of ...

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