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Which of the following is/are correct? If ` vec a= hat i+ hat j` and ` vec b=2 hat i- hat k` then the point of intersection of the lines ` vec rx vec a= vec bx vec a` and ` vec ax vec b= vec ax vec b` is 3` vec i+ vec j-k` `( vec rdot hat i)( hat i x vec r)+( vec rdot hat j)( hat jx vec r)+( vec rdot hat k)( hat k x vec r)= vec0` If `| vec a|=3,| vec b|=5,| vec c|=7` and ` vec a+ vec b+ vec c= vec0` then the angle between ` vec aa n d vec b` is `pi/3` If the vectors ` vec a , vec b& vec c` from the sides `B C ,C A&A B` respectively of a triangle `A B C` , then ` vec ax vec b= vec bx vec cx vec a`

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RESONANCE DPP-JEE MAINS-All Questions
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  2. Find the integral solutions to the equation [x][y]=x+y . Show that all...

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  3. Which of the following is/are correct? If vec a= hat i+ hat j and ve...

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  4. Suppose a1,a2, real numbers, with a1!=0, If a1,a2,a3 are in AdotPdo...

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  7. The three vectors hat i+ hat j , hat j+ hat k , hat k+ hat i taken tw...

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  13. The exhaustive domain of f(x)=sqrt(x^(12)-x^9+x^4-x+1) is

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  16. Tangents are drawn from the point P(1,-1) to the circle x^2+y^2-4x-6y-...

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  17. If A=[(1,2,2),(2,1,2),(2,2,10] then (A) A^-1= 1/5(A-4I3) (B) A^2-4A-5I...

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  18. The derivative of (log)(10)x w.r.t. x^2 is equal to 1/(2x^2)loge 10 (...

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  19. If A=[1 2 0-1 1 2 2-1 1],t h e ndet(A d j(A d jA))= 13 (b) 13^2 (c) ...

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