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Solve for x, "tan"^(-1)((2x)/(1-x^(2))...

Solve for x,
`"tan"^(-1)((2x)/(1-x^(2)))+""cot"^(-1)((1-x^(2))/(2x))=pi/(3),-1ltxlt1`.

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Verified by Experts

The correct Answer is:
`2 - sqrt(3)`
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ARIHANT PRAKASHAN-VERY SIMILAR TEST 8-Section B
  1. Solve for x, "tan"^(-1)((2x)/(1-x^(2)))+""cot"^(-1)((1-x^(2))/(2x))=...

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  2. Corner points of the feasible region determined by the system of linea...

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  3. Let R be a relation on the set A of ordered pairs of positive integers...

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  4. Show that the function f:R to R defined by f(x)=(x)/(x^(2)+1) is neith...

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  5. If "cos"^(-1)alpha+"cos"^(-1)beta+"cos"^(-1)gamma=3pi, then find alpha...

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  6. Sita and Gita throw a dia alternatively till one of them gets a 6 to w...

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  7. If A and B are matrices of the same order and AB=BA, Then prove that ...

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  8. If A(x(1), y(1)), B(x(2), y(2)), and, C(x(3), y(3)) are vertices of an...

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  9. If you throw a pair of dice n times, find the probability of getting a...

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  10. Find the points on the curve y = x^(3) - 3x^(2) + 2x at which the tang...

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  11. Find the interval(s) in which the following functions are (i) increa...

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  12. If sqrt(1-x^4) + sqrt(1-y^4) =k(x^2 - y^2) then show that dy/dx = {x...

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  13. If y=(sinx)^(x)+sin^(-1)sqrt(x), then find (dy)/(dx).

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  14. Examine if Rolle.s theorem is applicable to the function f(x) = cotx o...

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  15. Find the differential equation for the family of curve y= a sin^(-1) x...

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  16. Obtain the general solution of the following differential equations. x...

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  17. Evaluate the following integrals : int((3sinphi-2)cosphi)/(5-cos^(2)...

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  18. Prove that int(0)^(pi//4)2tan^(3)xdx=1-log2.

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  19. Find the area of the region included between the parabola y^(2)=2x and...

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  20. Find the vector equation of the plane through the points (2,1, -1) and...

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