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Let f(x) = |(x - 1)(x^2 – 2x – 3)|+x-3,x...

Let `f(x) = |(x - 1)(x^2 – 2x – 3)|+x-3,x in R`. Ifm and M are respectively the number of points of local minimum and local maximum of f in the interval (0,4), then m + M is equal to _____

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics-Section B
  1. Let vecb = hati +hatj + lamda hatk , lamda in RR . If veca is a vecto...

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

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  3. Let f(x) = |(x - 1)(x^2 – 2x – 3)|+x-3,x in R. Ifm and M are respectiv...

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  4. Hyperbola x^2/a^2-y^2/b^2=2 has eccentricity 5/4. If normal to the hyp...

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  5. Let l1 be the line in xy-plane with x and y intercepts 1/8 and 1/(4s...

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  6. If relation defined on set A= {1,2,3, . . .,50} , and relation R1 {(p,...

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  7. The number of real solutions of the equation e^(4x)+4e^(3x)-58e^(2x)+4...

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  8. The mean and standard deviation of 15 - observations are found to be 8...

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  9. veca=2hati+hatj+3hatk , vecb=3hati+3hatj+hatk & vecc=c1hati+c2hatk+c3h...

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  10. A ray of light passing tb.rough the point P (2, 3) reflects on the x-a...

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  11. Let l be a line which is normal to the curve y = 2x^2 + x + 2 at a poi...

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  12. Let A ={1, a1, a2 .. .... A(18).77} be a set of intgers with 1lta1lta2...

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  13. The number of positive integers k such that the constant term in the b...

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  14. The number of elements in the set {z=a+ibinCC:a,binZ and 1lt|z-3+2i|lt...

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  15. Let the lines y+2x=sqrt(11)+7sqrt7 and 2y+x=2sqrt(11)+6sqrt7 be norma...

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  16. Let S = {z in C: |z – 2| le 1, z(1 + i) + barz(1 - i) le2} . Let |z – ...

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  17. Let y = y(x) be the solution of the differential equation (dy)/(dx)+(s...

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  18. Let d be the distance between the foot of perpendiculars of the points...

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  19. The number of elements in the set S = { theta in [-4pi , 4pi] : 3 cos^...

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  20. The number of solutions of equation 2 theta -cos^2 theta + sqrt2=0 is

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