Home
Class 11
MATHS
Let a parabola be y=12-x^2. Find the max...

Let a parabola be `y=12-x^2`. Find the maximum area of rectangle whose base lie on x-axis and two points lie on parabola. (A) `8` (B) `4` (C) `32` (D) `34`

A

32

B

36

C

`20 sqrt(2) `

D

`18 sqrt(3) `.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The maximum area of a rectangle whose two vertices lie on the x-axis and two on the curve y=3-|x|,-3<=x<=3

Maximum area of rectangle whose two vertices lie on the x -axis and two on the curve y=4-|x| quad AA|x|<4 is

Which of the following points lie on the parabola x ^(2) =4 ay

Find the area of the region bounded by the parabola y^2=4ax , its axis and two ordinates x=a and x=2a .

Let y^(2)=4x is a parabola.Then minimum area of a circle touching parabola at (1,2) as well as x- axis is

Find the area bounded by the parabola x =4 -y ^(2) and y -axis.

Find the area bounded by the parabola x =4 -y ^(2) and y -axis.

Find the vertex , focus , latusrectum, axis and the directrix of the parabola x^2+8x+12y+4=0 .

Find the area of the region bounded by the parabola y^ ( 2 ) = 4x , X- axis and the lines x = 1, x = 4 .

MODERN PUBLICATION-CONIC SECTIONS -COMPETITION FILE
  1. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+...

    Text Solution

    |

  2. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

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

    Text Solution

    |

  4. The area (in sq. units) of the quadrilateral formed by the tangents...

    Text Solution

    |

  5. If one of the diameters of the circle, given by the equation, x^2+y^2-...

    Text Solution

    |

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

    Text Solution

    |

  7. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  8. The eccentricity of the hyperbola whose length of the latus rectum i...

    Text Solution

    |

  9. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

    Text Solution

    |

  10. Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...

    Text Solution

    |

  11. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

    Text Solution

    |

  12. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |

  13. If a variable line 3x+4y-lamda=0 is such that the two circles x^(2)+y^...

    Text Solution

    |

  14. Let P(4,-4) and Q(9,6) be two points on the parabola, y^2=4x and let X...

    Text Solution

    |

  15. Let C(1) and C(2) be the circles x^(2) + y^(2) - 2x - 2y - 2 = 0 and ...

    Text Solution

    |

  16. Let a parabola be y=12-x^2. Find the maximum area of rectangle whose b...

    Text Solution

    |

  17. If the vertices of the parabola be at (-2,0) and (2,0) and one of the ...

    Text Solution

    |

  18. if y=mx+7sqrt(3) is normal to (x^(2))/(18)-(y^(2))/(24)=1 then the val...

    Text Solution

    |

  19. Find the locus of mid-point of the portion of tangent intercepted betw...

    Text Solution

    |

  20. One extremity of a focal chord of y^2 = 16x is A(1,4). Then the length...

    Text Solution

    |