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If sum(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k...

If `sum_(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7),` then the value of 'n' is equal to

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Which of the following limits tends to unity? (a) ("lim")(xvec0)sin(ta...

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  2. The algebraic sum of perpendicular distances from A(x(1),y(1)), B(x(2)...

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  3. If sum(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7), then the ...

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  4. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 ...

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  5. Which of the following is/are correct?

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  6. Find the area of the triangle formed by the positive x-axis and the no...

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  7. Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((...

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  8. Let m ,n are integers with 0<n<mdot A is the point (m , n) on the Cart...

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  9. Let g:R to R be given by g (x) =3+ 4x if g ^(n)(x) = gogogo……og (x) n ...

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  10. If [1 4 2 0]=[x y^2z0],y<0t h e nx-y+z=

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  11. The internal common tangents to two circles with centre C1 and C2 in...

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  12. Find the values of aa n db in order that ("lim")(xvec0)(x(1+acosx)-bsi...

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  13. Let three matrices A=[(2 ,1),( 4, 1)]; B=[(3, 4),( 2, 3)] and C=[(3,-4...

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  14. If y=cos^2[tan^(-1)(sin[cot^(-1)x])], then (dy)/(dx) is (a)(-2x)/((x^2...

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  15. Let log(3)N=alpha(1)+beta(1) log(5)N=alpha(2)+beta(2) log(7)N=alp...

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  16. A circle is inscribed in an equilateral triangle of side adot The area...

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  17. Find the value of n so that the subnormal at any point on the curve xy...

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  18. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

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  19. If y=tan^(-1){(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))},"f i n d"(d...

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  20. The radius of the circle whose equation in parametric form is P(theta)...

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