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-93=0` with its sides parallel to the coordinate axes. The coordinates of its vertices are `(-6,-9),(-6,5),(8,-9),(8,5)` `(-6,-9),(-6,-5),(8,-9),(8,5)` `(-6,-9),(-6,5),(8,9),(8,5)` `(-6,-9),(-6,5),(8,-9),(8,-5)`

A

`(-6,-9),(-6,5),(8,-9),(8,5)`

B

`(-6,9),(-6,-5),(8,-9),(8,5)`

C

`(-6,-9),(-6,5),(8,9),(8,5)`

D

`(-6,-9),(-6,5),(8,-9),(8,-5)`

Text Solution

Verified by Experts

The correct Answer is:
1
Equation of circle is `(x-1)^(2)+(y-2)^(2)=98`
Square is inscribed in the given circle such that its sides are parallel to coordinate axes.
So, slope of PR is 1 and that of SQ is `-1`.

Thus vertices of square are
`(1+- 7 sqrt(2)cos 45^(@), -2 +- 7 sqrt(2) sin 45^(@))-=(8,5)` and `(-6,-9)`
and `(1+7sqrt(2) cos 135^(@),-2 +-7 sqrt(2) sin 135^(@))-=(8,-9)` and `(-6,5)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CENGAGE ENGLISH|Exercise Multiple Correct Anser Type|29 Videos

  • CIRCLE

    CENGAGE ENGLISH|Exercise Linked Comprehension Type (For Problem 1-3)|3 Videos

  • CIRCLE

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 4.20|1 Videos

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise Matrix|4 Videos

  • CIRCLES

    CENGAGE ENGLISH|Exercise Comprehension Type|8 Videos

Similar Questions

Explore conceptually related problems

Arrange in ascending order. (-5)/(7),(-6)/(8),(4)/(-9),(-5)/(12)

Evalute |{:(3,6,9),(4,8,12),(5,10,5):}|

A point on the parabola y^2=18 x at which the ordinate increases at twice the rate of the abscissa is (a)(2,6) (b) (2,-6) (c) (9/8,-9/2) (d) (9/8,9/2)

A point on the parabola y^2=18 x at which the ordinate increases at twice the rate of the abscissa is (a) (2,6) (b) (2,-6) (9/8,-9/2) (d) (9/8,9/2)

The mid-points of the sides of a triangle are given by (3, 2, -4), (9, 8, -15) and (5, 4, 6). Find the coordinates of its vertices.

The mode of a set of observation 7, 12,8,5,6,4,9,10,8,9,7,6,5,9 is

value of |(2,3,4),(5,6,8),(6x,9x,12x)|

Find out the mode of the following marks obtained by 15 students in a class: Marks: 4, 6, 5, 7, 9, 8, 10, 4, 7, 6, 5, 9, 8, 7, 7

Write the additive inverse of each of the following. (i) 2/8 (ii) (-5)/9 (iii) (-6)/(-5) (iv) 2/-9 (v) (19)/(- 6)

Find the value of the determinant = |(2, 3, 4) ,(5, 6, 8),( 6x,9x, 12 x)| .

CENGAGE ENGLISH-CIRCLE -Excercises (Single Correct Answer Type)
  1. A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  4. If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0...

    Text Solution

    |

  5. The area of the triangle formed by joining the origin to the point of ...

    Text Solution

    |

  6. If (alpha,beta) is a point on the circle whose center is on the x-axis...

    Text Solution

    |

  7. The area bounded by the circles x^2+y^2=1,x^2+y^2=4, and the pair of l...

    Text Solution

    |

  8. The number of intergral value of y for which the chord of the circle x...

    Text Solution

    |

  9. The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...

    Text Solution

    |

  10. The range of values of lambda,(lambda>0) such that the angle theta bet...

    Text Solution

    |

  11. The circle which can be drawn to pass through (1, 0) and (3, 0) and to...

    Text Solution

    |

  12. The locus of the midpoints of the chords of contact of x^2+y^2=2 from ...

    Text Solution

    |

  13. If a circle of radius r is touching the lines x^2-4x y+y^2=0 in the fi...

    Text Solution

    |

  14. The locus of the midpoints of the chords of the circle x^2+y^2-a x-b y...

    Text Solution

    |

  15. Any circle through the point of intersection of the lines x+sqrt(3)y=1...

    Text Solution

    |

  16. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

    Text Solution

    |

  17. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

  18. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  19. The equation of the locus of the middle point of a chord of the circle...

    Text Solution

    |

  20. The angle between the pair of tangents drawn from a point P to the cir...

    Text Solution

    |