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A function y= f(x) is defined as follows...

A function `y= f(x)` is defined as follows :
`y=f(x)= {(x^(2) " when " 0 le x le 1 ), ( sqrt(x) " when " x ge 1 ) :}`
Then the area ( in square unit ) above the x- axis included between the curve y= f(x) and the line x = 4 is-

A

`(15)/(3)`

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 6
  1. The equation of the tangent to the parabola y^(2) = 4x + 5 which is...

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  2. The slope of the normal to the curve y= (2x)/(1+ x^(2)) at y=1 is-

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  3. A function y= f(x) is defined as follows : y=f(x)= {(x^(2) " when...

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  4. The coordinates of the point on the parabola x= 3y^(2) + 4y +2 at whi...

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  5. The area (in square unit ) of the region bounded by the curve 9x^(2) ...

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  6. If theta is the acute angle of intersection at a real point of inter...

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  7. The area (in square unit ) of the triangle bounded by the lines y=2 ,...

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  8. If the tangent to the curve y^(2) = x^(3) at the point (m^(2), m^(3)...

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  9. If A is the area of the region bounded by the curve y= sqrt(3x + 4) ,...

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  10. The locus of a point P ( alpha , beta ) moving under the condition t...

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  11. The curves y= sin x and y= cos x intersect infinitely many times g...

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  12. From a point (d, 0) three normals are drawn to the parabola y^(2)=x, t...

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  13. The condition that the line ax + by + c =0 is a tangent to the parab...

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  14. The normal to the curve x= a ( cos theta + theta sin theta ) , y= a( ...

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  15. If the tangent to the parabola y= x^(2) + 6 at the point (1, 7) also...

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  16. The parabolas y^(2)= 4x and x^(2) = 4y divide the square region boun...

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  17. The greatest value of the function f(x) = x^(2)"log" (1)/(x) is-

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  18. If f(x) = x^(3) - 6x^(2) + 9x +3 be a decreasing function, then x lie...

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  19. The minimum value of the function f(theta) = 6 cos theta + 8 sin theta...

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  20. The abscissa of the point on the parabola y^(2) = 2px which is neare...

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