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consider f(x)==cos^-1x+xos((sqrt3 x+sqrt...

consider `f(x)==cos^-1x+xos((sqrt3 x+sqrt(1-x^2))/2)`, if `sum_(r=1)^100 f(1-(1/10)^r)=p/q pi` where `p` and `q` relatively prome number then find the value of `p-16q`

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RESONANCE DPP-JEE MAINS-All Questions
  1. Let y=f (x) be a curve which satisfies the differential equation e^x...

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  2. An urn contains 6 red and 5 blue balls. Two balls are drawn at rand...

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  3. consider f(x)==cos^-1x+xos((sqrt3 x+sqrt(1-x^2))/2), if sum(r=1)^100 f...

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  4. Distance between the lines represented by 9x^2-6x y+y^2+18 x-6y+8=0 ,...

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  5. Let: f:[0,3]vecR be a continuous function such that int0^3f(x)dx=3. If...

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  6. If x ,2x+2,a n d3x+3 are the first three terms of a G.P., then the fou...

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  7. The number of integral solutions of (x+2)/(x^2+1)>1/2 is 4 2. 5 3. ...

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  8. If the ellipse (x^2)/4+(y^2)/1=1 meets the ellipse (x^2)/1+(y^2)/(a^2)...

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  10. If t a n1^0=t , the value of "cos"2^0+"t s i n"2^0 is t 2. 1 3. 1/2 ...

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  11. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

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  12. 3^(51) when divided by 8 leaves the remainder 2 2. 6 3. 3 4. 5 5. 1

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  13. If a and b are any two distinct numbers belonging to the set {1,2,....

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  14. The A.M. of two given positive numbers is 2. If the larger number is ...

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  15. If the inequality (m x^2+3x+4)//(x^2+2x+2)<5 is satisfied for all x i...

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  16. Solve the equation log4 (2x^2 + x + 1) - log2 (2x - 1) = 1.

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  17. If the angle between the straight lines joining foci and the ends of m...

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  18. If (x1, y1) be the centroid of the triangle formed by a line L and coo...

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  19. If Aa n dB are symmetric and commute, then which of the following is/a...

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  20. A man with pure blue eyes and pure black hair marries a woman with bla...

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