Home
Class 12
MATHS
If f(x) = a + bx + cx^(2) where c > 0 an...

If `f(x) = a + bx + cx^(2)` where c > 0 and `b^(2) - 4ac < 0`. Then the area enclosed by the coordinate axes,the line x = 2 and the curve y = f(x) is given by

A

`(1)/(3) { 4f (1) + f(2)}`

B

`(1)/(2) {f(0) + 4f(1)}`

C

`(1)/(2) {f(0) + 41 f(1) + f(2)}`

D

`(1)/(3) {f(0) + 4 f(1) + f(2)}`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • AREA

    FIITJEE|Exercise Assignment Problems (Objective) Level - II|20 Videos

  • AREA

    FIITJEE|Exercise Comprehensions|9 Videos

  • AREA

    FIITJEE|Exercise Exercuse 4|4 Videos

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Numerical|3 Videos

  • CIRCLE

    FIITJEE|Exercise Numerical Based|2 Videos

Similar Questions

Explore conceptually related problems

If f(x) = a + bx + cx^2 where a, b, c in R then int_o ^1 f(x)dx

Let f(x)=ax^(2)+bx + c , where a in R^(+) and b^(2)-4ac lt 0 . Area bounded by y = f(x) , x-axis and the lines x = 0, x = 1, is equal to :

If f(x) = x^(3) + bx^(2) + cx +d and 0lt b^(2) lt c .then in (-infty, infty)

Let f(x) = ax^(2) + bx + c, a != 0 and Delta = b^(2) - 4ac . If alpha + beta, alpha^(2) + beta^(2) and alpha^(3) + beta^(3) are in GP, then

if f(x) = a+bx +cx^(2) , then what is int_(0)^(1)f(x) dx equal to ?

FIITJEE-AREA-Assignment Problems (Objective) Level - I
  1. The area of the smallar region in which the curve y = [(x^(3))/(100) +...

    Text Solution

    |

  2. The area bounded by y = (sin x)/(x), x-axis and the ordinates x = 0, x...

    Text Solution

    |

  3. If f(x) = a + bx + cx^(2) where c > 0 and b^(2) - 4ac < 0. Then the ar...

    Text Solution

    |

  4. The area defined by |y| le e ^(|x|)-1/2 in cartesian co-ordinate syste...

    Text Solution

    |

  5. The area defined by 2 le |X + y| + |x - y| le 4 is

    Text Solution

    |

  6. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

    Text Solution

    |

  7. Let a(1), b(1) = 8, a(1 + 1) = a(1) + (3)/(2) b(1) and b(1 + 1) = (1)/...

    Text Solution

    |

  8. For which of the following values of m is the area of the regions boun...

    Text Solution

    |

  9. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |

  10. The area bounded by the curve x = sin^(-1) y, the x-axis and the lines...

    Text Solution

    |

  11. Let A(1) (r in N) be the area of the bounded region whose boundary is ...

    Text Solution

    |

  12. Area bounded by the curves y = 1 - 2^(1 + sin x), x in [0, (pi)/(2)] w...

    Text Solution

    |

  13. The area defined by |x + 1| + |2y - 3| le 1 in the x-y coordinate pla...

    Text Solution

    |

  14. The area defined by y le isn (sin^(-1) x) and x^(2) + y^(2) ge 1 is

    Text Solution

    |

  15. The area defined by ||x + y| - |x - y|| le 1, x^(2) + y^(2) =(1)/(2) i...

    Text Solution

    |

  16. Area of the region bounded by the curves y=2^(x),y=2x-x^(2),x=0" and "...

    Text Solution

    |

  17. The value of positive real parameter 'a' such that area of region blun...

    Text Solution

    |

  18. The area bounded by the parabola x^(2) + 8x + 12 y + 4 = 0 and its lat...

    Text Solution

    |

  19. The ratio of the areas of two regions of the curve C(1)-=4x^(2)+pi^(2)...

    Text Solution

    |

  20. The the area bounded by the curve |x| + |y| = c (c > 0) is 2c^(2), the...

    Text Solution

    |