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Find the value of overset(10)underset(i=...

Find the value of `overset(10)underset(i=1)sum(10xxi)`.

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UNITED BOOK HOUSE-PATHA BHAVAN-EXERCISE
  1. If tan 2x.tan2y = 1, find sec(x+y).

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  2. If the sum of two angles is 75^@ and one of them is pi^c/15, find the ...

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  3. Find the value of overset(10)underset(i=1)sum(10xxi).

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  4. The frequency of three numbers 12, 15 ,20 are x+2, x and x-1 respectiv...

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  5. The simple interest and compound interest of some amount of money in 2...

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  6. Mary and Sayan start a partnership business with the amount Rs. 25,000...

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  7. Solve: (x+5)/(2-x)+2((2-x)/(x+5))=3[x!=2,-5]

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  8. The breadth of a rectangle is 3cm less than its length. If the area of...

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  9. If x= (2sqrt(10))/7 find the value of (sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)...

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  10. If x/y inftyx+y and y/x infty x^2-xy+y^2, then show that x^3+y^3 is co...

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

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  13. State and prove Pythagoras theorem.

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

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

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

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

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

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

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

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