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If domain of the function `f(x) = sin^(-1) (frac{3x - 22}{2x - 19}) + ln (frac{3x^2 + 8x + 5}{x^2 - 3x - 10})` is `(alpha, beta]` then value of `(3 alpha + 10 beta)` is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2024-Questions
  1. If f(x)={(-2,,,-2,le,x, <,0),(x-2,,,0,le,x, le,2):} and h(x) = f(|x|) ...

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  2. Let ABC be a triangle. If P1, P2, P3, P4, P5 are five points on side A...

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  3. Let y(x) be a curve given by differential equation (dy)/(dx) - y = 1 +...

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  4. Let there are 3 bags A, B and C. Bag contain 5 black balls and 7 red b...

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  5. The number of rational terms in the expansion of (2^(1/2) + 3^(1/3))^(...

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  6. 2 and 6 are roots of the equation ax^2 + bx + 1 = 0 then the quaratic ...

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  7. Let f(x)={(frac{1-cos2x}{x^2},x, <,0),(alpha,x,=,0),(beta (frac{sqrt(1...

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  8. One point of intersection of curve y = 1 + 3x - 2x^2 and y = 1/x is (...

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  9. If alpha and beta are sum and product of non zero solution of the equa...

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  10. If domain of the function f(x) = sin^(-1) (frac{3x - 22}{2x - 19}) + l...

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  11. The value of lim(xrarr 4) frac{(5 + x)^(1/3) - (1 + 2x)^(1/3)}{(5 + x)...

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  12. If the function f(x) ={(1/|x|,|x|,ge,2),(zx^2+2b,|x|,<,2):} differenti...

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  13. Let alpha, beta in R. If the mean and the variable of 6 observation, -...

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  14. A square is inclined in the circle x^2 + y^2 - 10 x - 6y + 30 = 0 such...

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  15. Let f(x) = x^5 + 2e^(x/4) AA x in R. Consider a function of (gof) (x) ...

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  16. Let f(x) =frac{2x^2 - 3x + 9} {2x^2 +3x + 4}, x in R, if maximum and m...

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  17. int0^(pi/4) frac{sin^2 x}{1 + sin x. cos x}, dx = 0

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  18. 2, p, q are in G.P. (where p ne q) and in A.P., 2 is third term, p is ...

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