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

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

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

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

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

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  4. Let : f(x)={(sina x^2)/(x^2),x!=0 3/4+1/(4a),x=0 for what values of a...

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

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  6. "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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  7. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

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

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

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

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  11. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

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

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

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

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  15. The value of the integral int(-2)^2|1-x^2|dx is a.4 b. 2 c. -2 d. 0

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  16. Prove that int(0)^(2)|x^(2)+2x-3|dx=4

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  17. 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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  18. If f(x)={{:(e^(|x|+|x|-1)/(|x|+|x|),":",xne0),(-1,":",x=0):} (where [...

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  19. Show that sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-ta...

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  20. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/a...

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