Home
Class 11
MATHS
A wheel of radius 8 units rolls along th...

A wheel of radius 8 units rolls along the diameter of a semicircle of radius 25 units; it bumps into this semicircle. What is the length of the portion of the diameter that cannot be touched by the wheel? 12        (b)  15    (c)  17       (d)  20

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

A semi circular arc of radius r and a straight wire along the diameter, both are carrying same current i find out magnetic force per unit length on the small element P, which is at the centre of curvature.

At one end A of a diameter A B of a circle of radius 5cm, tangent X A Y is drawn to the circle. The length of chord C D parallel to X Y and at a distance of 8cm from A is (a) 5cm (b) 6cm (c) 7cm (d) 8cm

A right triangle is drawn in a semicircle of radius 1/2 with one of its legs along the diameter. If the maximum area of the triangle is M , then the value of 32sqrt(3)M c is______

Line segments A C and B D are diameters of the circle of radius one. If /_B D C=60^0 , the length of line segment A B is_________

A circle of radius r cm has a diameter of length (a) r cm (b) 2r cm (c) 4r cm (d) r/2c m

If the lengths of the sides of a triangle are 8, 15 and 17 units, the R the circum-radius is :

If the rate of change of area of a circle is equal to the rate of change of its diameter, then its radius is equal to (a) unit (b) unit (c) units (d) units

Line segments A C and B D are diameters of the circle of radius 1. If /_B D C=60^0 , the length of line segment A B is_________

A circle C_(1) of radius 2 units rolls o the outerside of the circle C_(2) : x^(2) + y^(2) + 4x = 0 touching it externally. Square of the length of the intercept made by x^(2) + y^(2) + 4x - 12 = 0 on any tangents to C_(2) is

AB is a line segment of length 48 cm and C is its mid-point. If three semicircles are drawn at AB, AC and CB using as diameters, then radius of the circle inscribed in the space enclosed by three semicircles is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the radii of the circle (x-1)^2+(y-2)^2=1 and (x-7)^2+(y-10)^2=4 ar...

    Text Solution

    |

  2. The equation of the circle which has normals x-1).(y-2)=0 and a tange...

    Text Solution

    |

  3. A wheel of radius 8 units rolls along the diameter of a semicircle of ...

    Text Solution

    |

  4. The point ([p+1],[p]) is lying inside the circle x^2+y^2-2x-15=0 . T...

    Text Solution

    |

  5. The squared length of the intercept made by the line x=h on the pair o...

    Text Solution

    |

  6. Two parallel tangents to a given circle are cut by a third tangent at ...

    Text Solution

    |

  7. Three equal circles each of radius r touch one another. The radius of ...

    Text Solution

    |

  8. If (mi,1/mi),i=1,2,3,4 are concyclic points then the value of m1m2m3m4...

    Text Solution

    |

  9. The intercept on the line y=x by the circle x^2+y^2-2x=0 is AB. Equat...

    Text Solution

    |

  10. The equation of the locus of the mid-points of chords of the circle 4...

    Text Solution

    |

  11. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  12. Let S -= x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the locus o...

    Text Solution

    |

  13. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

    Text Solution

    |

  14. Let a given line L1 intersect the X and Y axes at P and Q respectively...

    Text Solution

    |

  15. Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...

    Text Solution

    |

  16. On the line segment joining (1, 0) and (3, 0) , an equilateral triangl...

    Text Solution

    |

  17. From a point R(5,8) , two tangents R Pa n dR Q are drawn to a given ci...

    Text Solution

    |

  18. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  19. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the ...

    Text Solution

    |

  20. If r1a n dr2 are the radii of the smallest and the largest circles, re...

    Text Solution

    |