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If xsin^3a+ycos^3a = sin a cos a and x s...

If `xsin^3a+ycos^3a = sin a cos a` and `x sin a- y cos a = 0`, then show that `x^2+y^2= 1`.

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UNITED BOOK HOUSE-PATHA BHAVAN-EXERCISE
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  2. If a/(4-a)+b/(4-b)+c/(4-c)=1 prove that 1/(4-a)+1/(4-b)+1/(4-c)=1

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  3. if a:b = b:c prove that ((a+b)/(b+c))^2 = (a^2+b^2)/(b^2+c^2).

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  4. State and prove Pythagoras theorem.

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  5. If two circles touch each other externally then the point of contact w...

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  6. In a triangle PQR, anglePQR = 90^@ S is any point onQR. Prove that PS^...

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  7. AB is a diameter of a circle with centre O and AC is a chord . The str...

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  8. Answer any one question : Draw an equilateral triangle of side of 6 c...

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  9. Geometrically find the value of sqrt(15).

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  10. If xsin^3a+ycos^3a = sin a cos a and x sin a- y cos a = 0, then show t...

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  11. find the value of (2 tan 30^@ cos 60^@)/(1+tan^2 30^@)-(tan^2(45^@)-1/...

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  12. If 2sinA-1 = 0 then show that sin3A = 3 sinA -4sin^3A.

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  13. The upper part of a lamp-post is broken by strom and the top touches t...

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  14. If the angle of elevation of the Sun is 60^@, then the length of the s...

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  15. The area of curved surface of right circular cylinder is 880sq.cm. and...

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  16. From a solid iron sphere of diameter 18cm, a right circular cylindrica...

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  17. The vertical height of a conical text tent is 10 metre and diameter of...

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  18. Find the median from the following given data.

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  19. In the frequency distribution table given below, the average daily wag...

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  20. find the mode from the following given data.

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