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

Solve for x, `"tan"^(-1)(x+1)+"tan"^(-1)(x-1)="tan"^(-1)8/(31)[0ltxlt1]`.

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The correct Answer is:
`x=(1)/(4)`
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ARIHANT PRAKASHAN-VERY SIMILAR TEST 6 -SECTION B ANSWER ANY THREE QUESTIONS
  1. Show that the relation R on the set Z of integers given by R = {(a,b):...

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

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  3. Solve for x, "tan"^(-1)(x+1)+"tan"^(-1)(x-1)="tan"^(-1)8/(31)[0ltxlt1]...

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  4. If P(A)=0.8 P(B)=0.5 and P(B/A) =0.4 then find the value of P(A cup B)

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  5. Find the inverse of the following matrices using elementary transforma...

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  6. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

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  7. Prove that the following. |[(v+w)^2,u^2,u^2],[v^2,(w+u)^2,v^2],[w^2,w...

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  8. Find the mean and the variance of the number obtained on a throw of an...

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  9. Find the equation of the tangent and normal to the curve (x^(2))/(a^(2...

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  10. Find the local maximum and local minimum values of the function f(x) =...

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  11. If logsqrt(x^(2)+y^(2))=tan^(-1)((x)/(y)), then show that (dy)/(dx)=(y...

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  12. If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...

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  13. Verify, MVT, if f(x)=x^(2)-4x-3 in the interval [a,b], where a =1 and ...

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  14. Find the solution of the differential equation (dy)/(dx)+y=cosx-sinx.

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  15. Solve (dy)/(dx)+2y tan x=sin x, "if" y(pi/(3))=0.

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  16. Evaluate int(dx)/(e^(4x)-5)

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  17. Evaluate int(1)^(2)(4x^(3)-5x^(2)+6x+9) dx

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  18. Prove that the curves y^(2)=4x and x^(2)=4y divide the area of the squ...

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  19. Find the vector equation of the plane which contains the line of inter...

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  20. Prove that the lines (x-2)/(1) = (y-4)/(4) = (z-6)/(7) and (x+1)/(3) ...

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