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If the shortest distance between the lin...

If the shortest distance between the lines `vecr = (-hati+3hatk) + lamda (hati- ahatj)` and `vecr = (-hatj + 2hatk) + mu (hati - hatj + hatk)` is `sqrt2/3` then the integral value of a is equal to _____

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The shortest distance between the lines vecr = (-hati - hatj) + lambda(2hati - hatk) and vecr = (2hati - hatj) + mu(hati + hatj -hatk) is

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Find the shrotest distance between the lines vecr = hati+hatj+ lambda(2hati-hatj+hatk) and vecr= 2hati+hatj-hatk+mu(2hati-hatj+hatk) .

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics-Section B
  1. If two tangents drawn from a point (a, b) lying on the ellipse 25x^2 +...

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  2. Let S be the region bounded by the curves y=x^3 and y^2=x. The curve y...

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  3. If the shortest distance between the lines vecr = (-hati+3hatk) + lamd...

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  4. f(x)=(2e^(2x))/(e^(2x)+e) then f(1/100)+f(2/100)+. . .+f(99/100)=?

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  5. If the sum of all the roots of the equation e^(2x)-11e^(x) – 45e^(-x) ...

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  6. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

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  7. The number of ways, 16 identical cubes, of which 11 are blue and rest ...

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  8. If the coefficient of x^(10) in the binomial expansion of (sqrtx/(5^(...

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  9. Let A1={((x,y))":"|x|ley^2,|x|+2yle8} and A2={((x,y))":"|x|+|y|lek} ...

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  10. If the sum of the first ten terms of the series 1/5 +2/65 +3/325 +...

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  11. A rectangle R with end points of one of its sides as (1, 2) and (3,6) ...

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  12. A circle of radius 2 unit passes through the vertex and the focus of t...

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  13. Let the mirror image of the point (a, b, c) with respect to the plane ...

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  14. Let A=((2,-2),(1,-1))andB=((-1,2),(-1,2)) Then the number of elements...

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  15. Let f (x)= [2x^2 +1] and g(x)={:{(2x-3,xlt0),(2x+3,xge0):} where [t] ...

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  16. 12int3^b 1/((x^2-1)(x^2-4))=loge(49/40) then find value of b where b g...

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  17. If the sum of the co-efficients of all the positive even powers of x i...

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  18. If mean deviation about mean is (5(n+1))/n of data 1,2,3,4....n wher...

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  19. Let vecb = hati +hatj + lamda hatk , lamda in RR . If veca is a vecto...

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  20. The total number of three-digit numbers, with one digit repeated exact...

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