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Function f(x)=sin(lnx)-"cos"(lnx) is (...

Function `f(x)=sin(lnx)-"cos"(lnx)` is (a)M.I. in `[e^(2npipi/4),e^(2npi+(3pi)/4)]` (b)M.D. In `[e^(2npi+(3pi)/4),e^(2npi+(7pi)/4)]` (c)M.D. in `[e^(2npi(5pi)/4),e^(2npipi/4)]` (d)M.I. in `[e^(2npi+(3pi)/4),e^(2npi+(7pi)/4)]`

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RESONANCE DPP-JEE MAINS-All Questions
  1. If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(...

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  2. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

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  3. Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2np...

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  4. tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt(5)))

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  5. If f(x)={(sina x^2)/(x^2); x!=0 3/4+1/(4a); x=0, is continuous everyw...

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  6. The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3...

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  7. If greatest and least values of f(x)=sin^(-1)(x/(sqrt(x^2+1)))-lnx in...

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  8. "lim"(x->0)(ln(t a n(pi/4+a x)))/(sinb x),b!=0 is equal to (a)a/b (b...

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  9. If An=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ;Bn=int0^(pi/2)((sinn x)/(sinx...

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  10. Which of the following functions is periodic (a) cos^2x+sinx^3+"tan"...

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  11. Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...

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  12. The number of values of k for which the system of the equations (k+1)x...

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  13. Projection of line (x+1)/2+(y+1)/(-1)=(z+3)/4 on the plane x+2y+z=6; h...

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  14. ("lim")(x→0^+)("sin"[cosx])/(1-[cosx]) ([.] denotes the greatest integ...

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  15. If [dot] represents the greatest integer function, then int4^(10)([x^2...

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  16. Lim(x rarr 0^+) ((pi/2-cot^(-1){x})x)/("sgn"x-cosx) (where {.} and sgn...

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  17. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

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  18. The value of the integral int-2^(2) |1-x^2|dx is

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  19. Prove that int0^2|x^2+2x-3|dx=4

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  20. Let image of the line (x-1)/3=(y-3)/5=(z-4)/2 in the plane 2x-y+z+3=0 ...

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