Home
Class 12
MATHS
If the radii of the circles (x-1)^2+(y-2...

If the radii of the circles `(x-1)^2+(y-2)^2+(y-2)^2=1` and `(-7)^2+(y-10)^2=4` are increasing uniformly w.r.t. time as 0.3 units/s and 0.4 unit/s, respectively, then at what value of `t` will they touch each other?

A

45s

B

90s

C

11s

D

135s

Text Solution

Verified by Experts

The correct Answer is:
`=>` t=10 or t=90 " " `[:'tgt0]`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

If the radii of the circle (x-1)^2+(y-2)^2=1 and (x-7)^2+(y-10)^2=4 are increasing uniformly w.r.t. times as 0.3 unit/s is and 0.4 unit/s, then they will touch each other at t equal to 45s (b) 90s (c) 11s (d) 135s

The circles x^(2)+y^(2)-2x-4y+1=0 and x^(2)+y^(2)+4y-1 =0

The two circles x^(2)+y^(2)-cx=0 and x^(2)+y^(2)=4 touch each other if:

Let circles (x - 0)^2 + (y - 4)^2 = k and (x - 3)^2 + (y - 0)^2 = 12 touches each other than find the maximum value of 'k'

Find the position of the circles x^(2)+y^(2)-2x-6y+9=0 and x^(2)+y^(2)+6x-2y+1=0 with respect to each other.r:

The inverse point of P(4,3) W.r.t the circle x^(2)+y^(2)=25 is

The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each other

The line 3x+5y+9=0 w.r.t.the circle x^(2)+y^(2)-6y+5=0 is

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the radii of the circles (x-1)^2+(y-2)^2+(y-2)^2=1 and (-7)^2+(y-10...

    Text Solution

    |

  2. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |

  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  4. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  5. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

    Text Solution

    |

  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

    Text Solution

    |

  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  9. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

    Text Solution

    |

  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  11. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |