Home
Class 12
MATHS
Let A(4,-4) and B(9,6) be points on the...

Let `A(4,-4)` and B(9,6) be points on the parabola `y^(2)=4x. ` Let C be chosen on the on the arc AOB of the parabola where O is the origin such that the area of `DeltaACB` is maximum. Then the area (in sq. units) of `DeltaACB` is :

A

`31(1)/(4)`

B

`30(1)/(2)`

C

32

D

`31(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

Similar Questions

Explore conceptually related problems

Let P(4,-4) and Q(9,6) be two points on the parabola, y^2=4x and let X be any point on the are POQ of this parabola, where O is the vertex of this parabola, such that the area of Delta PXQ is maximum. Then this maximum area (in square units) is (25k)/(4) . The value of k is

Consider the parabola y^(2)=4x .A=(4,-4) and B=(9,6) "be two fixed point on the parabola"." Let 'C' be a moving point on the parabola between "A" and "B" such that the area of the triangle ABC is maximum then the co-ordinate of 'C' is

Consider the parabola y^(2)=4x. Let A-=(4,-4) and B-=(9,6) be two fixed points on the parabola.Let C be a moving point on the parabola.Let C be a moving that the area of the triangle ABC is maximum.Then the coordinates of C are ((1)/(4),1)(b)(4,4)(3,(2)/(sqrt(3)))(d)(3,-2sqrt(3))

Let B and C are points of interection of the parabola y=x^(2) and the circle x^(2)+(y-2)^(2)=8. The area of the triangle OBC, where O is the origin, is

Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /_CBA (pi)/(2) . Then the range of ordinate of C is

Consider the parabola y^(2)=4x , let P and Q be two points (4,-4) and (9,6) on the parabola. Let R be a moving point on the arc of the parabola whose x-coordinate is between P and Q. If the maximum area of triangle PQR is K, then (4K)^(1//3) is equal to

Let L be a normal to the parabola y^(2)=4x. If L passes through the point (9,6) then L is given by

Let (a,b) be a point on the parabola y=4x-x^(2) and is the point nearest to the point A(-1,4) Find (a+b).

MCGROW HILL PUBLICATION-PARABOLA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Two tangents are drawn from a point (-2, -1) to the curve y^(2)=4x. If...

    Text Solution

    |

  2. A chord is drawn through the focus of the parabola y^(2)=6x such that ...

    Text Solution

    |

  3. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  4. Let PQ be a double ordinate of the parabola, y^2=-4x where P lies in t...

    Text Solution

    |

  5. If the tangent to the conic, y - 6= x^2 at (2, 10) touches the circle,...

    Text Solution

    |

  6. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

    Text Solution

    |

  7. The minimum distance of a point on the curve y=x^2 -4 from the origin ...

    Text Solution

    |

  8. P and Q are two distinct points on the parabola, y^2 = 4x with paramet...

    Text Solution

    |

  9. If the common tangents to the parabola x^2 = 4y and the circle x^2 + y...

    Text Solution

    |

  10. If y=mx+c is the normal at a point on the parabola y^(2)=8x whose foca...

    Text Solution

    |

  11. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  12. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

    Text Solution

    |

  13. Two parabola with a coomon vertex and with axes along x-axis and y-ax...

    Text Solution

    |

  14. Axis of a parabola lies along x-axis. If its vertex and focus are at d...

    Text Solution

    |

  15. The length of the chord of the parabola x^(2) = 4y having equations x ...

    Text Solution

    |

  16. If the parabolas y^2 = 4b (x - c) " and " y^2 = 8ax have a common t...

    Text Solution

    |

  17. Let A(4,-4) and B(9,6) be points on the parabola y^(2)=4x. Let C b...

    Text Solution

    |

  18. Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the pa...

    Text Solution

    |

  19. If the area of the triangle whose one vertex is at the vertex of the p...

    Text Solution

    |

  20. Equation of a common tangent to the parabola y^(2)=4x and the hyperbol...

    Text Solution

    |