Home
Class 12
MATHS
The lines y = 2x + sqrt(76) and 2y + x ...

The lines ` y = 2x + sqrt(76) and 2y + x = 8` touch the ellips `(x^(2))/(16) +(y^(2))/(12) = 1` . If the point of intersection of these two lines lie on a circle. Whose centre coincides with the centre of that ellipse, then the equation of that circle is

A

`x^(2) + y^(2) = 28`

B

`x^(2) +y^(2) = 16`

C

`x^(2) +y^(2) = 12`

D

`x^(2) +y^(2) = (4 + sqrt(8))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • AP EAMCET SOLVED PAPER 2018 ( 23-04-2019,SHIFT -1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|39 Videos

Similar Questions

Explore conceptually related problems

Show that the line x + 2y - 4 = 0 touches the ellipse 3x^(2) + 4y^(2) = 12 also find the point of contact.

If the four points of intersection of the lines 2x+y-1=0, x+2y+2=0 with the coondinate axes lie on a circle then its centre is

If the 4 points made by intersection of lines 2x-y+1=0, x-2y+3=0 with the coordinate axes are concylic then centre of circle is

If a circle touches the lines 3x - 4y - 10 = 0 and 3x - 4y + 30 = 0 and its centre lies on the line x + 2y = 0, then the equation of the circle is

The centre of the ellipse (2x-3y-1)^(2)/16+(3x+2y-8)^(2)/9=1 is

Equation of the tangents to the circle at the point (1,-1) whose centre is the point of intersection of the straight lines x-y=1 and 2x+y=3 is

If the lines 2x-y+11=0, x-2y+3=0 intersect the coordinate axes in four concyclic points the centre of the circle passing through these four points is

If a circle passes through the points of intersection of the axes with the lines ax-y+1=0 and x-2y+3=0 then a=

If tangents are drawn to the circle x^(2) + y^(2) = 12 at the points of intersection with the circle x^(2) + y^(2) -5x + 3y -2 =0 , then the ordinate of the point of intersection of these tangents is

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER 2017 (SOLVED)-Mathematics
  1. sech^(-1) ((1)/(sqrt(2))) + cosech^(-1) (-1)=

    Text Solution

    |

  2. If the points whose position vectors are 3bar(i) -2bar(j)-bar(k), 2bar...

    Text Solution

    |

  3. The lines y = 2x + sqrt(76) and 2y + x = 8 touch the ellips (x^(2))...

    Text Solution

    |

  4. The equation of the pair of lines through the point (2,1) and perpend...

    Text Solution

    |

  5. The harmonic mean of two numbers is -(8)/(5) and their geometric mea...

    Text Solution

    |

  6. If z is a complex number with |z|ge 5 . Then the least value of |z +...

    Text Solution

    |

  7. Delta ABC is formed by a (1,8,4), B (0, -11,4) and C(2,-3,1) . If D...

    Text Solution

    |

  8. For the function f(x) = (x-1) (x-2) difined on [0,(1)/(2)], the valu...

    Text Solution

    |

  9. A container is the shape of an inverted cone. Its height is 6m and rad...

    Text Solution

    |

  10. If the roots of the equation x^(3) - 7x^(2) + 14x - 8 = 0 are in ...

    Text Solution

    |

  11. If the mean and variance of a binomial variate X are (4)/(3),(8)/(9) ...

    Text Solution

    |

  12. If alpha is a non-real root of x^(7) = 1 then alpha (1 + alpha)(1 +...

    Text Solution

    |

  13. If cot (cos^(-1) x) = sec {tan^(-1) ((a)/(sqrt(b^(2)-a^(2))))}:bgt a,...

    Text Solution

    |

  14. In Delta ABC, L, M, N are points on BC, CA, AB respectively , dividi...

    Text Solution

    |

  15. The point to which the orgine is to be shifted to remove the first d...

    Text Solution

    |

  16. If alpha , beta, gamma are the lengths of the tangents from the ver...

    Text Solution

    |

  17. If int(0)^(10)f (x) dx = 5 "then" underset(k=1)overset(10)sumint(0)^(1...

    Text Solution

    |

  18. The angle between the tangents drawn from the point (1,2) to the ellip...

    Text Solution

    |

  19. If lx+ my = 1 is a normal to the hyperbola (x^(2))/(a^(2)) - (y^(...

    Text Solution

    |

  20. int(x^(e-1)+e^(x-1))/(x^(e)+e^(x))dx=

    Text Solution

    |