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

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

`(3,3)`

B

`(7,3)`

C

`(5,5)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE)|34 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|23 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If a square is inscribed in the circle x^(2) + y^(2) + 2gx +2fy + c= 0 then the length of each side of the square is

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 square is inscribed in the circle x^(2)+y^(2)-6x+8y-103=0 with its sides parallel to the coordinate axes. Then the distance of the vertex of this square which is nearest to the origin is

" A square is inscribed in the circle "x^(2)+y^(2)-2x+4y-93=0" with its sides parallel to the coordinates axes one vertex of the square is "

A square is inscribed in a circle x^(2)+y^(2)-4x-6y+5=0 whose sides are parallel to coordinate axis the vertex of the square is/are

A square is inscribed in the circle x^(2)+y^(2)-2x+8y-8=0 whose diagonals are parallel to axes and a vertex in the first quadrant is A then OA is

FIITJEE-MATHEMATICS -MCQ (MULTIPLE CORRECT)
  1. A circle of radius r,r ne 0 touches the parabola y ^(2) + 12 x =0 at t...

    Text Solution

    |

  2. The equation of AB,BC, AC three sides of a triangle are -x + y -1 =0, ...

    Text Solution

    |

  3. If (a, 0) is a point on a diameter of the circle x^(2)+y6(2)=4, then t...

    Text Solution

    |

  4. The equation(s) of the tangent at the point (0,0) to the circle, makin...

    Text Solution

    |

  5. A tangent is drawn at any point (l,m) l, m ne 0 on the parabola y ^(2)...

    Text Solution

    |

  6. a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One ...

    Text Solution

    |

  7. If sqrt(1- sin A)= sin "" A/2 - cos "" A/2 could lie in quadrant

    Text Solution

    |

  8. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then x=pi/4 (b) y=0 y=1 ...

    Text Solution

    |

  9. If sin(picostheta)=cos(pis intheta),t h e ns in2theta= +-3/4 (b) +-4...

    Text Solution

    |

  10. AB and CD are two equal and parallel chords of the ellipse (x ^(2))/(a...

    Text Solution

    |

  11. In a triangle with sides, a,b, and c a semicircle toughing the sides A...

    Text Solution

    |

  12. In Delta ABC, sec A, sec B, sec C are in harmonic progression, then

    Text Solution

    |

  13. If in a triangle ABC, b cos ^(2) "" A/2 + a cos ^(2) "" B/2 = (3c)/(2)...

    Text Solution

    |

  14. If the roots of the equation c^(2)x^(2)- c(a+b)x + ab =0 are sin A, s...

    Text Solution

    |

  15. If in a triangle ABC, CD is the angular bisector of the angle ACB then...

    Text Solution

    |

  16. The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...

    Text Solution

    |

  17. If the conics whose equations are S1:(sin^2theta)x^2+(2htantheta)x y+(...

    Text Solution

    |

  18. If z = sec^(-1) (x + 1/x) + sec^(-1) (y + 1/y), where xy< 0, then the ...

    Text Solution

    |

  19. If a,b,c are the sides of triangle then (a)/(c +a -b) + (b)/(a +b -c) ...

    Text Solution

    |

  20. If (5,12)a n d(24 ,7) are the foci of a hyperbola passing through the ...

    Text Solution

    |