Home
Class 12
MATHS
Four points A, B, C, D lie in that order...

Four points `A, B, C, D` lie in that order on the parabola `y = ax^2 +bx+c.` The co-ordinates of `A, B and D` are known as `A(-2, 3); B(-1, 1) and D(2,7).` The co-ordinates of C for which the area of the quadrilateral `ABCD` is greatest is

A

`(1//2,7//4)`

B

`(1//2 ,-7//4)`

C

`(-1//2,7//4)`

D

`(-1//2,-7//4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part II|21 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part III|23 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise 1 Part III : Match the Column|4 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

Four points A,B,C,D lie in that order on the parabola y=ax^(2)+bx+c. The co-ordinates of A,B and D are known as A(-2,3);B(-1,1) and D(2,7). The co- ordinates of Cor which the area of the quadrilateral ABCD is greatest is

The co-ordinates of three vertices of a parallelogram ABCD are A(1,0) , B(3,4) and C(1,2) . The co-ordinates of fourth vertex D are :

D is the midpoint of line segment AB. The co-ordinates of A and D are (2, 4) and (-1, 3), respectively. The co-ordinates of B are:

The co-ordinates of the vertices of a parallelogram ABCD are A(-1,2,3), B(2, -4,1) and C(1,2,-1). Find the co-ordinates of its 4th vertex.

ABCD is a parallegram. If the co-ordinates of A, B,C are (2,3), (1,4) and (0,-2) respectively, find the co-ordinates of D.

D is the midpoint of the segment AB. The co-ordinates of A and D are (2,4) and (-1,3), respectivley. The co-ordiantes of B are:

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part I
  1. "Let "f(x) ={ underset( x^(2) +8 " "." "x ge0)(-x^(2)" "." "x lt0)...

    Text Solution

    |

  2. Minunun distance between the curves f(x)=e^x and g(x)=ln x is

    Text Solution

    |

  3. The point(s) on the parabola y^2 = 4x which are closest to the circlex...

    Text Solution

    |

  4. If f(x)= a^({a^(|x|)sgn x }),g(x)=a^([a^(|x|)sgn x] for a gt 1, a!=1...

    Text Solution

    |

  5. If f:[1,10]->[1,10] is a non-decreasing function and g:[1,10]->[1,10] ...

    Text Solution

    |

  6. If f(x)=|ax-b|+c|x| is stricly increasing at atleast one point of non ...

    Text Solution

    |

  7. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  8. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  9. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  10. Consider the following statements : S(1): The function y=(2x^(2)-1)...

    Text Solution

    |

  11. Q. Let f (x)=sin^3x+ lambdasin^2x where (pi)/2 ltxlt (pi)/2. The inte...

    Text Solution

    |

  12. "Let "f(x) ={underset(-2x + log(2) (b^(2)-2), x gt1)(x^(3) -x^(2) +10 ...

    Text Solution

    |

  13. Four points A, B, C, D lie in that order on the parabola y = ax^2 +bx+...

    Text Solution

    |

  14. The base of prism is equilateral triangle. The distance from the centr...

    Text Solution

    |

  15. The maximum area of the rectangle whose sides pass through the vertice...

    Text Solution

    |

  16. Statement 1: ABC is given triangle having respective sides a,b,c. D,E,...

    Text Solution

    |

  17. if f'(x)=(x -4) (x-5) (x-6) (x-7) then.

    Text Solution

    |

  18. Show that the square roots of two successive natural numbers greater ...

    Text Solution

    |

  19. If Rolle's theorems applicable to the function f(x)=ln x/x, (x> 0) ove...

    Text Solution

    |

  20. if f(x) be a twice differentiable function such that f(x) =x^(2) " fo...

    Text Solution

    |