Home
Class 12
MATHS
The length of the rectangle of maximum a...

The length of the rectangle of maximum area that can be inscribed in a semicircle of radius 1 unit, so that two vertices lie on the diameter, is-

A

` sqrt(2)` unit

B

2 unit

C

`(sqrt(2))/(3) ` unit

D

`sqrt(3)` unit

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 6|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

Find the dimensions of the rectangle of maximum area that can be inscribed in a semicircle of radius r.

The height of the cylinder of maximum volume that can be inscribed in a sphere of radius a, is-

Find the dimensions of the rectangle of maximum perimeter that can be inscribed in a circle of radius a.

The maximum area of a rectangle that can be inscribed in a circle of radius 2 unit is (in sq unit)

Show that the height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is 16 cm .

If one vertex of the triangle having maximum area that can be inscribed in the circle |z-i|=5 is 3-3i , then find the other vertices of the triangle.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3))

The sides of the rectangle of the greatest area, that can be inscribed in the ellipse x^2+2y^2=8 are given by

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 7
  1. The locus of the point of intersection of a pair of perpendicular tang...

    Text Solution

    |

  2. The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - ...

    Text Solution

    |

  3. If the focal chord of y^(2)=16x is a tangent to the circle (x-6)^(2) +...

    Text Solution

    |

  4. The area (in square unit ) bounded by the curves y= |x| - 1 and y= ...

    Text Solution

    |

  5. If the normal at the point ( bt(1)^(2), 2 bt(1)) to the parabola y^(2...

    Text Solution

    |

  6. The line y= mx +c touches the hyperbola b^(2) x^(2) - a^(2) y^(2) = a...

    Text Solution

    |

  7. The least value of the sum of any positive real number and its recipro...

    Text Solution

    |

  8. The function f(x)= x^((1)/(x)) is-

    Text Solution

    |

  9. If the chord of contact of tangents from a point on the circle x^(2) +...

    Text Solution

    |

  10. The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a ...

    Text Solution

    |

  11. The length of the rectangle of maximum area that can be inscribed in a...

    Text Solution

    |

  12. If the tangent at any point on the ellipse (x^(2))/(a^(2)) + (y^(2))/(...

    Text Solution

    |

  13. The minimum value of 4e^(2x) + 9e^(-2x) is-

    Text Solution

    |

  14. Suppose the function f(x) is defined as follows : f(x)= x(x-1)(x-2)...

    Text Solution

    |

  15. The pressure p and the volume v of a gas are connected by the relation...

    Text Solution

    |

  16. The population of a country doubles in 50 years. Assuming that the rat...

    Text Solution

    |

  17. Let y= f(x) be the function, which passes through (1, 2) and has slop...

    Text Solution

    |

  18. The radius of a cylinder is increasing at the rate of 3 m/s and its a...

    Text Solution

    |

  19. The function f(x)=x^(2)+4x-2 has a minimum value at-

    Text Solution

    |

  20. The normal at any point to a curve always passes through a given point...

    Text Solution

    |