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The number of one-one functions f : {a, ...

The number of one-one functions f : {a, b, c, d} to {0, 1, 2, ..., 10} such that 2f(a) - f(b) + 3f (c) + f(d)=0 is ______

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics-Section B
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  2. In an examination, there are 5 multiple choice questions with 3 choice...

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  3. Image of A (3/sqrta,sqrta) in y-axis is B & image of B in x-axis is C....

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  4. Let a line having direction ratios 1, -4, 2 intersect the lines (x-7)/...

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  5. The number of points where the function f(x)={(|2x^2-3x-7|," if " x...

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  6. IF f(theta)= sin theta + int(-pi/2)^(pi/2) (sin theta+t cos theta)*f(t...

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  7. Let {:("Max"),(0 lex le2):}{(9-x^2)/(5-x)}= alphaand {:("Min"),(0 lex ...

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  8. If two tangents drawn from a point (a, b) lying on the ellipse 25x^2 +...

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

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

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

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

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

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

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

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

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

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

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

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

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