Home
Class 12
MATHS
Let s be the sum of all distinct real ro...

Let s be the sum of all distinct real roots of f(x) and let `t=mod(s)`The area bounded by the curve `y= f(x)` and the lines `x=0, y=0` and `x=t`, lies in the interval

A

`(3/4,3)`

B

`(21/64, 11,16)`

C

`(9,10)`

D

`(0, 21/64)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

  • Screening Tests

    A DAS GUPTA|Exercise Exercise|38 Videos

  • Total Conditional Probability and Bayes' Theorem

    A DAS GUPTA|Exercise Exercise|29 Videos

Similar Questions

Explore conceptually related problems

If the area of the region bounded by the curves,y=x^(2),y=(1)/(x) and the lines y=0 and x=t(t>1) is 1 sq.unit,then t is equal to:

Let f(x) be a continuous function such that the area bounded by the curve y=f(x), the x-axis, and the lines x=0 and x=a is 1+(a^(2))/(2)sin a. Then,

Let f(x)=x^(2//3), x ge 0 . Then the area of the region enclosed by the curve y=f(x) and the three lines y=x, x=1 and x=8 is

If the area bounded by y=f(x), the x -axis, the y-axis and x=t(t>0) is t^(2), then find f(x) .

Let f (x) be a continous function such that the area bounded by the curve y =f (x) x-axis and the lines x=0 and x =a is (a ^(2))/( 2) + (a)/(2) sin a+ pi/2 cos a, then f ((pi)/(2)) is

Let g(x) = cosx^(2), f(x) = sqrt(x) , and alpha, beta (alpha lt beta) be the roots of the quadratic equation 18x^(2) -9pix + pi^(2) = 0 . Then the area (in sq. units) bounded by the curve y = (gof) (x) and the lines x = alpha,x = beta and y = 0 is

Consider the polynomial f(x)=1+2x+3x^2+4x^3 . Let s be the sum of all distinct real roots of f(x) and let t=|s|.

Consider the polynomial f (x)=1+2x+3x^(2)+4x^(3). Let s be the sum of all distinct real roots of f(x) and let t=|s|

A DAS GUPTA-Some New Pattern Problems-Exercise
  1. Equation of the common tangent to the circle x^(2)+y^(2)=50 and the pa...

    Text Solution

    |

  2. If the events A and B are mutually exclusive events such that P(A) = (...

    Text Solution

    |

  3. Let s be the sum of all distinct real roots of f(x) and let t=mod(s)Th...

    Text Solution

    |

  4. Tangents are drawn from the point P(3,4) to be the ellipse x^2/9+y^2/...

    Text Solution

    |

  5. The tangents are drawn from the point P(3,4) to the ellipse x^2/9+y^2/...

    Text Solution

    |

  6. Tangents are drawn from the point P(3,4) to the ellipse x^2/9+y^2/4=1 ...

    Text Solution

    |

  7. Match the following (more than one may match with the same).

    Text Solution

    |

  8. Match the following (more than one may match with the same).

    Text Solution

    |

  9. Let aa n db be the roots of the equation x^2-10 c x-11 d=0 and those o...

    Text Solution

    |

  10. Complete the following statements. and bn=1-an then the smallest na...

    Text Solution

    |

  11. If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f...

    Text Solution

    |

  12. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  13. Let the vectors vec(PQ),vec(QR),vec(RS), vec(ST), vec(TU) and vec(UP) ...

    Text Solution

    |

  14. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  15. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |

  16. Let C be the locus of a point the sum of whose distances from the poi...

    Text Solution

    |

  17. Let F(x) be an indefinite integral of sin^(2)x Statement I The funct...

    Text Solution

    |

  18. let f(x)=2+cosx for all real x Statement 1: For each real t, there ex...

    Text Solution

    |

  19. Assertion- Reason Type Question: STATEMENT -1: 1*3*5* ….*(2n-1) gt n^...

    Text Solution

    |

  20. Let (1 + x)^(36) = a(0) +a(1) x + a(2) x^(2) +...+ a(36)x^(36). Then ...

    Text Solution

    |