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Solve: tan^-1 2x + tan^-1 3x = frac{pi}{...

Solve: `tan^-1 2x + tan^-1 3x = frac{pi}{4}`

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Solve the following equation tan^(-1) 2 + tan^(-1) 3x = pi/4

Solve the following equations: tan^-1 2 x + tan^-1 3x = pi/4, x > 0

Solve: tan^-1 (x+3) + tan^-1 (x-3) = tan^-1 (frac{4}{39}), x>0

Solve: tan^-1 (x+2) + tan^-1 (x-2) = tan^-1 (frac{4}{19}), x>0

Solve: tan^-1 (x+4) + tan^-1 (x-4) = tan^-1 (frac{4}{67}), x>0

Solve for x: tan^-1 (x+1) + tan^-1(x-1) = tan^-1 frac{8}{31}, x > 0

tan^-1 frac{1}{2} + tan^-1 frac {2}{11} = tan^-1 frac{3}{4}

Solve for x : tan^-1(x + 2) + tan^-1 (x - 2) = pi/4, x > O

tan^-1 x - tan^-1 y= tan^-1 (frac{x-y}{1+xy} .

Show that : tan^-1 frac{1}{2} + tan^-1 frac{1}{4}=frac{1}{2} cos^-1 frac{13}{85}

MODERN PUBLICATION-MOCK TEST-3-EXERCISE
  1. If veca is any vector in space, show that : veca=(veca*hati)hati+(veca...

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  2. Prove that : 2tan^-1 (1/2) + tan^-1 (1/7) = tan^-1 (31/17)

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  3. Solve: tan^-1 2x + tan^-1 3x = frac{pi}{4}

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  4. If A=[[2,-1],[-1,2]],show that A^2-4A+3I=0.

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  5. If A=[[2,0,-1],[5,1,0],[0,1,3]], prove that : A^-1=A^2-6A+11I

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  6. Without expanding, prove the following |(b+c,c+a,a+b),(q+r,r+p,p+q)...

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  7. If the function defined by : f(x) = {:{(2x-1,x<2),(a,x=2),(x+1,x>2):...

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  8. Differentiate the following w.r.t.x. x^(cot x) + (sin x)^x.

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  9. Evalute : int(5x+3)/sqrt(x^2+4x+10)dx

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  10. Evaluate : int0^pi (xsinx)/(1+cos^2x)dx.

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  11. Evaluate : ∫0^(pi/2)frac{cos^2x}{cos^2x+4sin^2x}dx

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  12. For the differential equation, find the particular solution satisfying...

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  13. Find the vector equation of the line parallel to the line : (x-1)/5=(3...

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  14. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  15. A speaks truth in 60% of the cases, while B in 90% of the cases. In wh...

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  16. Consider f: Rrarr [- 5, ∞) given by f(x) = 9x^2 + 6x- 5. Show that f i...

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  17. Consider the binary operations * : R xx R to R and o: R xx R to R def...

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  18. Show that a cylinder of given volume, open at the top, has minimum tot...

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  19. Using integration find the area of region bounded by the triangle wher...

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  20. Show that the points : A(-2hati+3hatj+5hatk), B(hati+2hatj+3hatk) and ...

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