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A line L passing through the point P(1...

A line `L` passing through the point `P(1,4,3),` is perpendicular to both lines `(x-1)/2=(y+3)/2=(z-2)/4a n d(x+2)/3=(y-4)/2=(z+1)/(-2)` If the co-ordinate of any point `QonLi s(a_1, a_2, a_3)` such that `(P Q)^2=357 ,t h e n(a_1+a_2+a_3)` can be

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RESONANCE DPP-JEE MAINS-All Questions
  1. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  2. The probability for which ("lim")(xvec0)(ln((cosx)^a))/(x^b) exists fi...

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  3. A line L passing through the point P(1,4,3), is perpendicular to b...

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  4. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

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  5. A four digit number is called a doublet if any of its digit is the sam...

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  6. The general solution of the differential equation (d^2y)/dx^2=e^(-3x) ...

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  7. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

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  8. A fair coin is tossed repeatedly until two consecutive heads are obtai...

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  9. If 0 < x < pi/2 ,intsqrt(1+secx)dx=2sin^(-1)(asin^(-1)(x/b))+C , wher...

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  10. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

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  11. If f(x) is a differentiable function satisfying f^(')(x)lt2 for all xe...

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  12. Let set A = { 1, 2, 3, ….., 22} . Set B is a subset of A and B has...

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  13. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

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  14. The number of arrangements of the word " IDIOTS " such that vowels are...

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  15. With usual notations, in a triangle ABC, a cos(B - C)+b cos(C-A)+ c co...

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  16. Let A={1,2,3,4} and R be a relation in given by R= (1,1), (2, 2), (3...

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  17. The term independent of a in the expansion of (1+sqrta+ 1/(sqrta-1))^-...

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  18. Let P be the point (3, 2). Let Q be the reflection of P about the x-ax...

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  19. Suppose that vec p, vec q and vec r are three non-coplanar vectors in ...

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  20. If f'(3)=2 , then lim(h->0)(f(3+h^2)-f(3-h^2))/(2h^2) is

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