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If f(x)=int(5x^8+7x^6)/((x^2+1+2x^7)^2)d...

If `f(x)=int(5x^8+7x^6)/((x^2+1+2x^7)^2)dx, (xge0), f(0)=0 and f(1)=1/K`, then the value of K is _______ .

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS SECTION B
  1. Let the plane ax +by+cz+d=0 bisect the line joining the points (4, -3,...

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  2. The mean age of 25 teachers in a school is 40 years। A teacher retires...

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  3. The number of times the digit 3 will be written when listing the integ...

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  4. A square ABCD has all its vertices on the curve x^2y^2=1. The midpoint...

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  5. The missing value in the following figurs is .

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  6. The equation of the planes parallel to the plane x - 2y + 2z - 3=0 whi...

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  7. The number of sotutions of the equation abs(cotx)=cotx+1/(sinx) " in t...

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  8. Let f(x) and g(x) be two functions satisfying f(x^(2))+g(4-x)=4x^(3),...

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  9. Let z1,z2 be the roots of the equation z^2+az+12=0 and z1, z2 form an ...

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  10. If f(x)=int(5x^8+7x^6)/((x^2+1+2x^7)^2)dx, (xge0), f(0)=0 and f(1)=1/K...

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  11. Let the coefficients of third, fuurth and fifth terms in the expansion...

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  12. Let vecx be a vector in the plane containing vectors veca=2hati-hatj+h...

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  13. Let I(n)= int(1)^(e ) x^(19) (log|x|)^(n)dx, where n in N. If (20)I(10...

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  14. Let tan alpha, tan beta and tan gamma, alpha, beta, gamma ne ((2n-1)pi...

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  15. Let f:[-3,1] toR be given as f(x)={("min" {(x+6)","x^(2)}",", -3 le ...

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  16. If 1, log(10)(4^(x)-2) and log(10)(4^(x)+(18)/(5)) are in arithmetic...

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  17. Let P be an arbitrary point having sum of the squares of the distances...

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  18. Consider a set of 3n numbers having variance 4. In this set, the mean ...

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  19. Let A=[(a,b),(c, d)]and B=[(alpha), (beta)] ne [(0), (0)] such that AB...

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  20. Let f:[-1, 1] to R be defined as f(x)=ax^(2)+bx+c for all x in [-1, 1]...

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