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If the function `f(x) = {((sin^(2)ax)/(x^(2))","," when "x != 0),(" k,"," when " x = 0):}`is continuous at x = 0 then k = ?

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MCGROW HILL PUBLICATION-JEE (MAIN) 2020 QUESTION PAPER (7TH JAN - AFTERNOON) -Multiple Choice Question
  1. Let 4alpha int(-1)^2 e^(-alpha|x|) dx = 5, then alpha =

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  2. If the sum of the first 40 terms of the series, 3+4+8+9+13+14+18+19+ ....

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  3. If z = (3+isintheta)/(4-icostheta) is purely real and theta in (pi/2,p...

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  4. Let A=[a(ij)] and B=[b(ij)] be two 3xx3 real matrices such that b(ij)=...

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  5. Let f(x) is a five degree polynomial which has critical points x = pm1...

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  6. The number of ordered pairs (r, k) for which 6(""^(35)C(r))=(k^(2)-3)(...

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  7. Let a(1),a(2),a(3),... be a G P such that a(1)lt 0,a(1)+a(2)=4 and a(3...

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  8. Let a, b and c be three unit vectors such that a+b+c=0. If lamda=a*b+b...

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  9. Let y=y(x) be the solution curve of the differential equation (y^(2)-x...

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  10. If theta(1) and theta(2) be respectively the smallest and the largest ...

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  11. Let alpha and beta be the roots of the equation x^(2)-x-1=0 .If p(k)=(...

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  12. The area (in sq. units) of the region {(x,y)inR^(2)l4x^(2)leyle8x+12} ...

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  13. The value of c in the Lagrange's mean value theorem for the function f...

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  14. if y sqrt(1-x^2) = k - x sqrt(1-y^2) and y(1/2) = -1/4, then (dy)/(dx...

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  15. Let the tangents drawn from the origin to the circle, x^(2)+y^(2)-8x-4...

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  16. If system of equation x + y + z = 6 x + 2y + 3z = 10 3x + 2y + l...

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  17. If Q(5/3,7/3,17,3) is foot of perpendicular drawn from P(1, 0, 3) on a...

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  18. If the function f(x) = {((sin^(2)ax)/(x^(2))","," when "x != 0),(" ...

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  19. If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y...

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  20. Let X = {x : 1 le x le 50, x in N} A = {x: x is multiple of 2} B = {...

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