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If =cos^2[tan^(-1)(sincot^(-1)x)], then ...

If `=cos^2[tan^(-1)(sincot^(-1)x)],` then `(dy)/(dx)` is `(-2x)/((x^2+2)^2)` (b) `(2x)/((x^2+2)^2)` `2/((x^2+2)^2)` (d) `(-2)/((x^2+2)^2)`

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RESONANCE DPP-JEE MAINS-All Questions
  1. Find the values of a and b in order that lim(x->0) (x(1+a cos x)-b sin...

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  2. Let three matrices A=[2 1 4 1]; B=[3 4 2 3]a n dC=[3-4-2 3], then 6 (...

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  3. If =cos^2[tan^(-1)(sincot^(-1)x)], then (dy)/(dx) is (-2x)/((x^2+2)^2)...

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  4. Let log3^N = alpha1 + beta1 , log5^N = alpha2 + beta2 , log7^N = alph...

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

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  6. If A-2B=[(1,5),(3,7)] and 2A-3B=[(-2,5),(0,7)] the matrix B= (A) [...

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

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

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  9. If y = tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))] then prov...

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

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  11. If ("lim")(xvec0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n((...

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  12. Let log3^N = alpha1 + beta1 , log5^N = alpha2 + beta2 , log7^N = alph...

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  13. Consider curve y=f(x), then if PT = Length of tangent PN= Length of n...

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  14. If a chord of the circle x^2+y^2-4x-2y-c=0 is trisected at the points ...

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  15. If a x ^2+b x+c=0 has imaginary roots and a-b+c >0 then the set of p...

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  16. if the set of values of ' x ' satisfying the inequations ((x-1)^2(x+1)...

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  17. Evaluate: ("lim")(nvecoo)((a1 1/x+a2 1/x++a n1/x)/n)^(n x)

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  18. Let a ray of light leaves the point (3, 4) reflects from the y-axis an...

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  19. The equation of the bisector of that angle between the lines x+2y-11=0...

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  20. Sum of roots of the equation x^4-2x^2sin^2(pix/2)+1=0 is 0 (b) 2 ...

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