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The number of points where the function ...

The number of points where the function
`f(x)={(|2x^2-3x-7|," if " x le -1),([4x^2-1]," if " -1 lt x lt 1),(|x+1|+|x-2|," if " x ge1):}`
[t] denotes the greatest integer `le` t,, is discontinuous is ______

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f(x) {{:(-2"," if x le -1),(2x"," if -1lt x le 1),(2"," if x gt 1):}

If f(x)={:{(-2", for " x le -1),(2x", for " -1 lt x le 1),(2", for " x gt 1):} , then

Function f(x)={{:(2x-1", if "x le 1 ),(x^(2)", if "1 lt x ),(3x - 4 " , if " 2 lt x lt 4 ):} is continuous on

f(x)={{:(,[x]," if "-3 lt x le -1),(,[x]," if "-1 lt x lt),(,|[-x]|," if "1 le x lt 3):}" then "{x : f(x) ge 0} is equal to :

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics-Section B
  1. Image of A (3/sqrta,sqrta) in y-axis is B & image of B in x-axis is C....

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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