Home
Class 12
MATHS
To which of the circles, the line y-x+3=...

To which of the circles, the line `y-x+3=0` is normal at the point `(3+3sqrt2, 3sqrt2)` is

A

`(x-3-(3)/(sqrt(2)))^(2)+(y-(3)/(sqrt(2)))^(2)=9`

B

`(x-(3)/(sqrt(2)))^(2)+(y-(3)/(sqrt(2)))^(2)=9`

C

`x^(2)+(y-3)^(2)=9`

D

`(x-3)^(2)+y^(2)=9`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos
  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

To which of the circles,the line y-x+3=0 is normal at the point (3+3sqrt(2),3sqrt(2)) is

For which of the following curves, the line x + sqrt3 y = 2sqrt3 is the tangent at the point ((3sqrt3)/(2), 1/2) ?

Equation of a line which passes through A(2,3) and makes an angle 45^@ with x-axis. If this line meets the line x+y+1=0 at the points P, then distance AP is (A) 2sqrt3 (B) 3 sqrt 2 (C) 5sqrt 2 (D) 2sqrt5

The equation to the normal to the circle x^(2)+y^(2)-2x-2y-2=0 at the point (3,1) on it is

Which of the following lines is not a normal to the circle (x+3)^(2)+(y-2)^(2)=sqrt(587)

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the center of the circle lies on x-2y=4. The radius of the circle is 3sqrt(5)(b)5sqrt(3)(c)2sqrt(5)(d)5sqrt(2)

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The equation of the circumcircle of the triangle formed by the lines y...

    Text Solution

    |

  2. The equation x^(2)+y^(2)+4x+6y+13=0 represents

    Text Solution

    |

  3. To which of the circles, the line y-x+3=0 is normal at the point (3+3s...

    Text Solution

    |

  4. Circles are drawn through the point (2, 0) to cut intercept of length ...

    Text Solution

    |

  5. Find the equation of the circle which touches both the axes and the ...

    Text Solution

    |

  6. The slope of the tangent at the point (h, h) of the circle x^(2)+y^(2...

    Text Solution

    |

  7. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

    Text Solution

    |

  8. Locus of thews of the centre of the circle which touches x^2+y^2 - 6x-...

    Text Solution

    |

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

    Text Solution

    |

  10. The locus of the mid-point of the chords of the circle x^2+y^2=4 wh...

    Text Solution

    |

  11. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

    Text Solution

    |

  12. The equation of the circle described on the common chord of the circle...

    Text Solution

    |

  13. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

    Text Solution

    |

  14. A circle passes through the origin and has its center on y=x If it cut...

    Text Solution

    |

  15. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

    Text Solution

    |

  16. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

    Text Solution

    |

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

    Text Solution

    |

  18. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

    Text Solution

    |

  19. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

    Text Solution

    |

  20. The point (sintheta, costheta). theta being any real number, die insid...

    Text Solution

    |