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If 1/(b+c)+1/(c+a) = 2/(a+b) , show that...

If `1/(b+c)+1/(c+a) = 2/(a+b)` , show that `a^2+b^2=2c^2`,

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UNITED BOOK HOUSE-BIDHANNAGAR GOVT, HIGH SCHOOL-EXERCISE
  1. If x= sqrt3+sqrt2 ,find the value of x^3-1/x^3.

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  2. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

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  3. If 1/(b+c)+1/(c+a) = 2/(a+b) , show that a^2+b^2=2c^2,

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  4. If a+b+c= 0 prove that 1/(2a^2+bc)+1/(2b^2+ca)+1/(2c^2+ab)=0

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  5. State and Prove Pythagoras theorem.

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  6. If two tangents are drawn to a circle from a point outside it, them th...

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  7. O is the centre of a centre having diameter AB. P is any point on the ...

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  8. AB and CD are two chords of a cricle. Extended BA and CD intersect at ...

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  9. Draw the mean proportional of line segments of lengths 4 cm and 3 cm.

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  10. use bal to draw the circumcircle of a right angled triangle having the...

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  11. If sin theta+ cosec theta= 2 then find the value of sin^10theta+cosec ...

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  12. Find the value of 4/3 cot^2 30^@+2 sin^2 60^@-2cosec^2 60^@-3/4 tan^2 ...

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  13. Prove that tan 7^@ tan23^@ tan60^@tan67^@tan83^@ = sqrt3.

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  14. The length of shadow of a tower standing on the ground is found to be...

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  15. Find the number of zeros at the end of 100! ?

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  16. Answer any two questions : Determine the volume of a solid right circu...

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  17. If two circles of radii 7 cm and 3 cm touch each other extermally, the...

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  18. If the glass of tubelight is 105 cm long and external circumference is...

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  19. Find the median of the following frequency distribution table.

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  20. Find the mode of the following frequency distribution table.

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