Home
Class 10
MATHS
A pole has to be erected at a point on t...

A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos

  • REAL NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

Similar Questions

Explore conceptually related problems

A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in such a way that the differences of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Is it possible to do so? If yes, at what distances from the two gates should the pole be erected?

A point P moves in such a way that the ratio of its distance from two coplanar points is always a fixed number (!=1) . Then, identify the locus of the point.

A point P moves in such a way that the ratio of its distance from two coplanar points is always a fixed number (!=1) . Then, identify the locus of the point.

The locus of a point which moves so that the difference of the squares of its distance from two given points is constant, is a

A point P is moving in a plane such that the difference of its distances from two fixed points in the same plane is a constant. The path traced by the point P is a/an

The locus of a point which moves such that difference of its distance from two fixed straight which are at right angles is equal to the distance from another fixed straight line is

To find the equation of the hyperbola from the definition that hyperbola is the locus of a point which moves such that the difference of its distances from two fixed points is constant with the fixed point as foci

The locus of a point which moves difference of its distance from two fixed straight which are at right angles is equal to the distance from another fixed straight line is

Points A and B are on the number line in such a way that A corresponds to 0.625 and B corresponds to 0.637 . If P is the midpoint of bar(AB) , and Q is on the number line two-thirds of the distance from A to B , what is the ratio of PQ to AQ ?

A tower stands at the centre of a circular park . A and B are two points on the boundary of the park such that AB(=a) subtends an angle of 60^@ at the foot of the tower , and the angle of elevation of the top of the tower from A or B is 30^@ . The height of the tower is

RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. The value of sqrt(6+sqrt(6+sqrt(6+))) ..........is (a) 4 (b) 3 (c) ...

    Text Solution

    |

  2. If the equation (a^2+b^2)x^2-2(a c+b d)x+c^2+d^2=0 has equal roots, th...

    Text Solution

    |

  3. A pole has to be erected at a point on the boundary of a circular park...

    Text Solution

    |

  4. If 1+sqrt(2) is a root of a quadratic equation with rational coefficie...

    Text Solution

    |

  5. Write the sum of real roots of the equation x^2+|x|-6=0

    Text Solution

    |

  6. If the equation x^2-a x+1=0 has two distinct roots, then (a)|a|=2 (b...

    Text Solution

    |

  7. If one root of the equation 2x^2+b x+c=0 is three times the other, the...

    Text Solution

    |

  8. If one root of the equation 4x^2-2x+(lambda-4)=0 be the reciprocal of ...

    Text Solution

    |

  9. One fourth of a herd of camels was seen in the forest. Twice the squar...

    Text Solution

    |

  10. Out of a group of swans 7/2 times the square root of the number are p...

    Text Solution

    |

  11. The difference of the squares of two numbers is 45. The square of the ...

    Text Solution

    |

  12. If the sum of first n even natural numbers is 420, find the value of ...

    Text Solution

    |

  13. If 1 is the root of equation 3x^2+ax-2=0 and the quadratic equation a(...

    Text Solution

    |

  14. The sum of the squares of three consecutive natural numbers is 149. ...

    Text Solution

    |

  15. The sum of two numbers is 9. The sum of their reciprocals is ½. Find ...

    Text Solution

    |

  16. A two digit number is such that the product of its digits is 18. When ...

    Text Solution

    |

  17. The denominator of a fraction is one more than twice the numerator. If...

    Text Solution

    |

  18. A two digit number is four times the sum and three times the product o...

    Text Solution

    |

  19. To fill swimming pool two pipes are to be used. If the pipe of larger ...

    Text Solution

    |

  20. Two water taps together can fill a tank in 9 3/8 hours. The tap of ...

    Text Solution

    |