Home
Class 12
MATHS
The line y=x+asqrt2 touches the circle x...

The line `y=x+asqrt2` touches the circle `x^2+y^2=a^2` at P. The coordinate of P are

A

`(a,a)`

B

`(a//2,a//2)`

C

`(a//sqrt2,a//sqrt2)`

D

`(-a//sqrt2, a//sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C(Pole, Polar)|107 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1D(Angle Between Circles)|49 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1A(Circle)|110 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

If the line y=mx+asqrt(1+m^2) touches the circle x^2+y^2=a^2 , then the point of contact is

The line y=6x+1 touches the parabola y^(2)=24x . The coordinates of a point P on this line, from which the tangent to y^(2) =24x is perpendicular to the line y=6x+1. is

The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coordinate axes at A and B. If the lines drawn parallel to axes through A and B meet at P then locus of P is

If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where OP=6sqrt2 then c=

The straight line x-2y+1=0 intersects the circle x^(2)+y^(2)=25 in points P and Q the coordinates of the point of intersection of tangents drawn at P and Q to the circle is

The line x sin alpha- ycos alpha = a touches the circle x^(2) +y^(2) =a^(2) ,then

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. If the line y=mx+asqrt(1+m^2) touches the circle x^2+y^2=a^2, then the...

    Text Solution

    |

  2. If the tangent to the circle x^2+y^2=5 at (1,-2) also touches the circ...

    Text Solution

    |

  3. The line y=x+asqrt2 touches the circle x^2+y^2=a^2 at P. The coordinat...

    Text Solution

    |

  4. The length of the tangent from (6,8) to the circle x^(2)+y^(2)=4 is

    Text Solution

    |

  5. Find the length of the tangent form (1,3) to the circle x^(2) + y^(2...

    Text Solution

    |

  6. The length of the tangent from (0,0) to the circle 2x^(2)+2y^2+x-y+5=0...

    Text Solution

    |

  7. The length of the tangent from to the circle x^(2)+y^(2)+2gx+2fy+c=0 t...

    Text Solution

    |

  8. The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y...

    Text Solution

    |

  9. The length of the tangent from the point (-1,1) to the circle x^(2)+y^...

    Text Solution

    |

  10. If the length of the tangent from (2,3) to circle x^(2)+y^(2)+6x+2ky-6...

    Text Solution

    |

  11. If the length of the tangent from two points A,B to a circle are 6,7 r...

    Text Solution

    |

  12. If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where O...

    Text Solution

    |

  13. A circle S=0 with radius sqrt2 touches the line x+y-2=0 at (1,1). Then...

    Text Solution

    |

  14. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

    Text Solution

    |

  15. If the length of the tangent from (1,2) to the circle x^(2)+y^2+x+y-4=...

    Text Solution

    |

  16. If the length of the tangents from any point on the circle 15x^(2)+15y...

    Text Solution

    |

  17. If the square of the length of the tangents from a point P to the circ...

    Text Solution

    |

  18. The area of the quadrilateral formed by the tangents from the point (4...

    Text Solution

    |

  19. If OA and OB are the tangent from the origin to the circle x^(2)+y^(2)...

    Text Solution

    |

  20. If the distances from the origin to the centres of three circles x^(2)...

    Text Solution

    |