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Let vectors vec a , vec b , vec c ,a n ...

Let vectors ` vec a , vec b , vec c ,a n d vec d` be such that `( vec axx vec b)xx( vec cxx vec d)=0.` Let `P_1a n dP_2` be planes determined by the pair of vectors ` vec a , vec b ,a n d vec c , vec d ,` respectively. Then the angle between `P_1a n dP_2` is a.`0` b. `pi//4` c. `pi//3` d. `pi//2`

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RESONANCE DPP-JEE MAINS-All Questions
  1. The value of the integral int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx...

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  2. For any two vec aa n d vec b ,( vec axx hat i)dot( vec bxx hat i)+( v...

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  3. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

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  4. Let vec a , vec b , vec c be the three unit vectors such that vec a+...

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  5. int1/(1+sqrt(x))"dx" is equal to 2sqrt(x)+2ln|1+sqrt(x)|+c b. 2sqrt(x...

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  6. If ABCD is a parallelogram, vec A B=2 hat i+4 hat j-5 hat k and vec ...

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  7. If the vectors bar A B=3 hat i+4 hat k and bar A C=5 hat i-2 hat j+...

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  8. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

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  9. int (x^2+2)/(x^4+4) dx=

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  10. int0^pi||sinx|-|cosx||dx is equal to (a)tan((3pi)/8) (b) tan(pi...

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  11. Let f(x)={(sinx^2)/xx!=0 0x=0, then f^(prime)(0^+)+(0^-) has the value...

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  12. The equation of a line 4x-4y-z+11=0=x+2y-z-1 can be put as x/2=(y-2)/1...

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  13. If y=a t^2+2b t+c&t=a x^2+2b x+c , then (d^3y)/(dx^3) equals 24 a^2(a ...

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  14. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero ve...

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  15. If [ vec a vec b vec c]=2 and vec x=2 vec a+3 vec b+ vec c , vec y= v...

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  16. Let u=int0^1("ln"(x+1))/(x^2+1)dxa n dv=int0^(pi/2)ln(sin2x)dx ,t h e ...

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  17. int(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)((2x)/(x^2+1))+tan^(-1)((2x)/(...

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  18. Find the integral value of n for which lim(x->0)(cos^2x-cosx-e^xcos...

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  19. If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) i...

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  20. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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