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RESONANCE DPP-JEE MAINS-All Questions
  1. The distance between two points P and Q is d and the length of their p...

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  2. Evaluate lim(n-&gt;oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

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  3. If f(x)={1\ \ \ ,\ \ \ if\ xlt=3a x+b\ \ \ ,\ \ \ if\ 3<x<5 7\ \ \ ,\ ...

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  4. The reflection of the point vec a in the plane vec rdot vec n=q ...

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  5. The orthogonal projection of vec a\ on\ vec b is (( vec adot vec b) ...

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  6. If the expression cos(x-(3pi)/2)+sing((3pi)/2+x)+sin(32pi+x)-18cos(19...

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  7. If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0, t...

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  8. If two events A and B are such that P(A^c)=0. 3. P(B)=0. 4a n dP(AnnB^...

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  9. If lim(n->oo)(n*3^n)/(n(x-2)^n +n*3^(n+1)-3^n) = 1/3 then the range of...

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  10. If ""^(100)C(6)+4." "^(100)C(7)+6." "^(100)C(8)+4." "^(100)C(9)+""^(1...

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  11. If y=1costheta+2cos2theta+3cos3theta+......+99 cos 99theta , the maxim...

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  12. If [.] and {.} denote greatest and fractional part functions respectiv...

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  13. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

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  14. Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where f(x) is an increasing differen...

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  15. Consider the inequality max {1-x^2,|x - 1|}<1 then

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  16. The simultaneous equations, y=x+2|x|&amp; y=4+x-|x| have the solution...

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  17. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

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  18. If f(x)=a x^2+b x+a^2+b^2+c^2-a b-b c-c a ,w h e r ea ,b ,c are disti...

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  19. If Sn=1^2+(1^2+2^2)+(1^2+2^2+3^2)+ upto n terms, then Sn=(n(n+1)^2(n+2...

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  20. Tangent lines are drawn at the points P and Q where f''(x) vanishes f...

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