Home
Class 12
MATHS
The lines of the form xcos phi + ysin ph...

The lines of the form `xcos phi + ysin phi =P` are chords of the hyperbola `4x^2 - y^2 = 4a^2` which subtend a right angle at the centre of the hyperbola. If these chords touch a circle with centre at (0, 0), then the radius of that circle is

A

`(2a)/(sqrt3)`

B

`(a)/(sqrt3)`

C

`sqrt2a`

D

`(a)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019(SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|56 Videos

  • TS EAMCET 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|79 Videos

Similar Questions

Explore conceptually related problems

Find the locus of the mid-point of the chord of the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 which subtends a right angle at the origin.

If one of the diameter of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord to the circle with centre (2, 1), then the radius of the bigger circle is

The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 which substends a right angle at the origin is

The locus of the point, the chord of contact of which wrt the circle x^(2)+y^(2)=a^(2) subtends a right angle at the centre of the circle is

If one of the diameters of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord to the circle with centre at (2,1) show that the radius of the circle is 3.

The centre of the hyperbola x^(2)-y^(2)-4x-2y-8=0 is

If a normal chord of a parabola y^(2) = 4ax subtends a right angle at the origin, then the slope of that normal chord is

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER (2018)-MATHEMATICS
  1. Let A be a vertex of the ellipse S = (x^2)/(4) + (y^2)/(9) - 1 = 0 and...

    Text Solution

    |

  2. Tangents are drawn to the ellipse (x^2)/(25) + (y^2)/(16) = 1 at all...

    Text Solution

    |

  3. The lines of the form xcos phi + ysin phi =P are chords of the hyperb...

    Text Solution

    |

  4. Let A(3, 2, - 4) and B(9, 8, -10) be two points. Let P1 divide AB in t...

    Text Solution

    |

  5. If the direction cosines of the two lines satisfy the equations l + m ...

    Text Solution

    |

  6. If the equation of the plane passing through the point (2,-1, 3) and p...

    Text Solution

    |

  7. lim(xto a) (sqrt(a + 2x) - sqrt(3a))/(sqrtx - sqrta)

    Text Solution

    |

  8. If a function f(x) defined by is continous on R, then (a , b) =

    Text Solution

    |

  9. The derivative of y = (sin x)^(x^2) with respect to x is

    Text Solution

    |

  10. If y = ((x + 1)^2 sqrt(x - 1) )/((x + 4)^3 e^x) , then (dy)/(dx) =

    Text Solution

    |

  11. The slope of the tangent to the curve f(x) = tan h^(-1) (sin x) at x =...

    Text Solution

    |

  12. The approximate value of y = (1.01)^3 + 2(1.01)^(3/2) + 5 is

    Text Solution

    |

  13. If y = 2x is tangent to the curve y^2 = ax^3 + b at (1, 2) , then (a,...

    Text Solution

    |

  14. An angle between the curves x^2 - y^2 = 4 and x^2 + y^2 = 4 sqrt2...

    Text Solution

    |

  15. Let f(x) be continuous on [0, 4] , differentiable on (0, 4) , f(0) = 4...

    Text Solution

    |

  16. int( sqrt(tan x) + sqrt(cot x) ) dx =

    Text Solution

    |

  17. int(dx)/((2ax + x^2)^(3/2) ) =

    Text Solution

    |

  18. If int ( 2dx)/(sqrt(cot^2x - tan^2 x) ) = - sqrt(f(x) ) + c , then f(...

    Text Solution

    |

  19. int (3^x)/(sqrt(9^x - 1) ) dx =

    Text Solution

    |

  20. If f(x) = int1^x (1)/(2 + t^4) dt ,then

    Text Solution

    |