Home
Class 12
MATHS
If [4a2 4a 1 4b2 4b 1 4c2 4c 1] [f-1 f1 ...

If [4a2 4a 1 4b2 4b 1 4c2 4c 1] [f-1 f1 f2] = [3a2 + 3a 3b2 + 3b 3c2 + 3c] fx is a quadratic function and its maximum value occurs at a point V. A is a point of intersection of y = f x with x-axis and point .B is such that chord AB subtends a right angled at V. Find the area enclosed by fx and chord AB.

Text Solution

Verified by Experts

The correct Answer is:
`125//3`
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

The points A(3,0) , B (a, -2) and C(4, -1) are the vertices of triangle ABC right angled at vertex A. Find the value of a.

Let f(x) be real valued continous funcion on R defined as f(x) = x^(2)e^(-|x|) Number of points of inflection for y = f(x) is (a) 1 (b) 2 (c) 3 (d) 4

Let A(2,-1,4) and B(0,2,-3) be the points and C be a point on AB produced such that 2AC=3AB , then the coordinates of C are

If the points A(-1,-4),B(b,c)and C(5,-1) are collinear and 3b + c = 4, find the values of b and c.

It is given that the Rolles theorem holds for the function f(x)=x^3+b x^2+c x ,\ \ x in [1,2] at the point x=4/3 . Find the values of b and c .

If A = {1, 2, 3, 4} and B= {1, 2, 3, 4, 5, 6} are two sets and function F: A to B is defined by f(x) = x+2, AA x in A , then prove that the function is one-one and into.

Factorise : 2ab^(2) c - 2a + 3b^(3) c - 3b - 4b^(2) c^(2) + 4c

If a=2b ,\ then a : b= (a) 2:1 (b) 1:2 (c) 3:4 (d) 4:3

If f(x)=1/(4x^2+2x+1) , then its maximum value is 4/3 (b) 2/3 (c) 1 (d) 3/4

It is given that the Rolles' theorem holds for the function f(x)=x^3+b x^2+c x ,x in [1,2] at the point x=4/3dot Find the values of b and c

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
  1. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

    Text Solution

    |

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

    Text Solution

    |

  3. If [4a2 4a 1 4b2 4b 1 4c2 4c 1] [f-1 f1 f2] = [3a2 + 3a 3b2 + 3b 3c2 +...

    Text Solution

    |

  4. Find the area bounded by the curve x^2=y ,x^2=-ya n dy^2=4x-3

    Text Solution

    |

  5. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

    Text Solution

    |

  6. Find the area of the region bounded by the curves y=x^2,y=|2-x^2|,a n ...

    Text Solution

    |

  7. Let f(x) be continuous function given by f(x)={2x ,|x|lt=1and x^2+a x+...

    Text Solution

    |

  8. Let C(1) and C(2) be the graphs of the functions y=x^(2) and y=2x, res...

    Text Solution

    |

  9. Let f(x)=M a xi mu m{x^2,(1-x)^2,2x(1-x)}, where 0lt=xlt=1. Determine ...

    Text Solution

    |

  10. Find all the possible values of b >0, so that the area of the bounded ...

    Text Solution

    |

  11. If An be the area bounded by the curve y=(tanx)^n and the lines x=0,\ ...

    Text Solution

    |

  12. In what ratio does the x-axis divide the area of the region bounded by...

    Text Solution

    |

  13. Sketch the curves and identify the region bounded by the curves x=1...

    Text Solution

    |

  14. Compute the area of the region bounded by the curves y-e x(log)e xa n ...

    Text Solution

    |

  15. Find all maxima and minima of the function y = x(x-1)^2 for 0<=x<=2 ...

    Text Solution

    |

  16. Find the area of the region bounded by the curve C: y = tan x, tangent...

    Text Solution

    |

  17. Find the area bounded by the curves x^2+y^2=25 ,4y=|4-x^2|, and x=0 ab...

    Text Solution

    |

  18. Find the area bounded by the curves x^2+y^2=4,x^2=sqrt(2)y ,a n dx=ydo...

    Text Solution

    |

  19. Sketch the region bounded by the curves y=sqrt(5-x^2) and y=|x-1| and ...

    Text Solution

    |

  20. Find the area of the region bounded by the x-axis and the curves de...

    Text Solution

    |