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Find the domain of sin^(-1) (x^2 - 4)...

Find the domain of `sin^(-1) (x^2 - 4)`

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CBSE MODEL PAPER-SAMPLE PAPER 2024-Question
  1. In the following questions, a statement of Assertion (A) is followed b...

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  2. Find the value of sin^(-1) (cos (frac{33 pi}{5}))

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  3. Find the domain of sin^(-1) (x^2 - 4)

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  4. Find the interval/s in which the function f : R rightarrow R defined b...

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  5. If f(x) = frac{1}{4x^2 + 2x + 1}, x in R, then find the maximum value ...

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  6. Find the maximum profit that a company can make, if the profit functio...

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  7. Evaluate: int(-1)^1 log (frac{2-x}{2+x}) dx

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  8. Check whether the function f : R rightarrow R defined by f(x) = x^3 + ...

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  9. Find int frac{2x^2 + 3}{x^2(x^2 + 9)} dx, x ne 0.

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  10. The random variable 'X' has a probability distribution P (X) of the fo...

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  11. Find int sqrt frac{x}{1-x^3} dx, x in (0, 1)

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  12. Evaluate : int0^(pi/4)log(1+tanx)dxdot

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  13. Solve the differential equation y e^(x/y)dx=(x e^(x/y)+y^2)dy(y!=0)

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  14. Solve the differential equation (cos ^(2) x ) (dy)/(dx) + y =...

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  15. Solve the following linear programming problem (L.P.P) graphically. Ma...

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  16. Maximize: Z = -x + 2y, subject to the constraints: x ge 3, x + y ...

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  17. If (a + bx)e^(y/x) = x then prove that x frac{d^2y}{dx^2} = (frac{a}{a...

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  18. Make a rough sketch of the region {( x, y) : 0 le y le x^2 + 1, 0 le y...

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  19. Let N be the set of all natural numbers and let R be a relation on Nxx...

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  20. Show that the function f : R rightarrow {x in R : -1 < x < 1} defined ...

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