Home
Class 12
MATHS
A square is inscribed in the circle x^2+...

A square is inscribed in the circle `x^2+y^2-2x+4y+3=0` . Its sides are parallel to the coordinate axes. One vertex of the square is `(1+sqrt(2),-2)` (b) `(1-sqrt(2),-2)` `(1,-2+sqrt(2))` (d) none of these

A

`(1+sqrt(2), -2)`

B

`(1-sqrt(2), -2)`

C

`(1, -2 + sqrt(2))`

D

`(2, -1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C|44 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

A square is inscribed in the circle x^(2)+y^(2)-2x+4y-93=0 with its sides are parallel to coordinate axes then vertices of square are

a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One side of the square is parallel to y = x + 3, then one vertex of the square is :

a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One side of the square is parallel to y = x + 3, then one vertex of the square is :

A square is incribed in a circle x^2+y^2-6x+8y-103=0 such that its sides are parallel to co-ordinate axis then the distance of the nearest vertex to origin, is equal to (A) 13 (B) sqrt127 (C) sqrt41 (D) 1

A square is incribed in a circle x^2+y^2-6x+8y-103=0 such that its sides are parallel to co-ordinate axis then the distance of the nearest vertex to origin, is equal to (A) 13 (B) sqrt127 (C) sqrt41 (D) 1

A square is inscribed inside the ellipse x^2/a^2+y^2/b^2=1 , the length of the side of the square is

The image of the centre of the circle x^2 + y^2 = 2a^2 with respect to the line x + y = 1 is : (A) (sqrt(2), sqrt(2) (B) (1/sqrt(2) , sqrt(2) ) (C) (sqrt(2), 1/sqrt(2)) (D) none of these

A(1/(sqrt(2)),1/(sqrt(2))) is a point on the circle x^2+y^2=1 and B is another point on the circle such that are length A B=pi/2 units. Then, the coordinates of B can be (a) (1/(sqrt(2)),-1/sqrt(2)) (b) (-1/(sqrt(2)),1/sqrt(2)) (c) (-1/(sqrt(2)),-1/(sqrt(2))) (d) none of these

The point A(2,1) is translated parallel to the line x-y=3 by a distance of 4 units. If the new position A ' is in the third quadrant, then the coordinates of A ' are (A) (2+2sqrt(2),1+2sqrt(2) (B) (-2+sqrt(2),-1-2sqrt(2)) (C) (2-2sqrt(2) , 1-2sqrt(2)) (D) none of these

A parabola is drawn with focus at one of the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is (a) 1-1/(sqrt(2)) (b) 2sqrt(2)-2 (c) sqrt(2)-1 (d) none of these

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  2. A circle of constant radius 2r passes through the origin and meets the...

    Text Solution

    |

  3. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |

  4. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  5. If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...

    Text Solution

    |

  6. Tangents OP and OQ are drawn from the origin o to the circle x^2 ...

    Text Solution

    |

  7. The equation of the circle which passes through (2a, 0) and has the ra...

    Text Solution

    |

  8. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

    Text Solution

    |

  9. Area of a circle in which a chord of length sqrt2 makes an angle (pi)/...

    Text Solution

    |

  10. If 3x + b(1)y + 5 =0 and 4x + b(2)y + 10 = 0 cut the x-axis and y-axis...

    Text Solution

    |

  11. If the circle x^(2) + y^(2) -4x - 8y + 16 =0 rolls up the tangent to i...

    Text Solution

    |

  12. If two tangents are drawn from a point to the circle x^(2) + y^(2) =3...

    Text Solution

    |

  13. The radical centre of three circles described on the three sides 4x-7y...

    Text Solution

    |

  14. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

    Text Solution

    |

  15. A line meets the co-ordinates axes at A(a, 0) and B(0, b) A circle is ...

    Text Solution

    |

  16. If the two circles (x+1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect...

    Text Solution

    |

  17. A circle of constant radius r passes through the origin O, and cuts th...

    Text Solution

    |

  18. The point of intersection of the lines x - y + 1 = 0 and x + y + 5 = 0...

    Text Solution

    |

  19. The equation of one of the circles which touch the pair of lines x^2 -...

    Text Solution

    |

  20. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

    Text Solution

    |