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Find the domain of the function defined ...

Find the domain of the function defined by `f(x)="sin"^(-1)sqrt(x-1)`.

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The correct Answer is:
`x in [1,2]`
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ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section C (30 MARKS)
  1. Find the domain of the function defined by f(x)="sin"^(-1)sqrt(x-1).

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  2. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

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  3. Show that the semi-vertical angle of right circular cone of given surf...

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  4. Find the area of the region bounded by the ellipse (x^(2))/(25)+(y^(2)...

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  5. Find the solutions of the following differential equations : x sin "...

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  6. int("cos"x-"sin"x)/sqrt(8-"sin"2x)dx

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  7. Find the distance of the point (1, -2, 3) from the plane x-y+z=5 measu...

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  8. Find the points on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2)  at a d...

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  9. Solve equation 3"tan"^(-1)1/((2+sqrt3)) - "tan"^(-1) 1/x ="tan"^(-1) 1...

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  10. Solve the following LPP graphically Maximize, Z=5x(1) +3x(2) Sub...

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  11. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

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  12. Examining consistency and solvability, solve the following equation by...

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  13. From a survey conducted in a cancer hospital it is found that 10% of t...

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  14. From a survey conducted in a cancer hospital it is found that 10% of t...

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  15. From a survey conducted in a cancer hospital it is found that 10% of t...

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  16. From a survey conducted in a cancer hospital it is found that 10% of t...

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  17. Find the inverse of matix A=[(1,2,4),(-1,-2,-1),(2,1,-1)] by elementar...

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  18. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

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  19. Show that the semi-vertical angle of right circular cone of given surf...

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  20. Find the area of the portion of the ellipse (x^(2))/(12)+(y^(2))/(16)=...

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  21. Find the solutions of the following differential equations : x sin "...

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