Home
Class 12
MATHS
An equation of a cirlce through the orig...

An equation of a cirlce through the origin, making an intercept of `sqrt(10)` on the line `y = 2x + (5)/(sqrt(2))`, which substends an angle of `45^(@)` at the origin is

A

`x^(2) + y^(2) - 4x - 2y =0`

B

`x^(2) + y^(2) - 2x - 4y = 0`

C

`x^(2) + y^(2) + 4x + 2y = 0`

D

`x^(2) + y^(2) + 2x + 8y = 0`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -D|24 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -E ( Assertion-Reason Type Questions )|18 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Joint equation of two lines through the origin, each making angle of 45^(@) with line 3x-y=0 is

Joint equation of two lines through the origin each making angle of 30^(@) with line x+y=0 , is

Joint equation of two lines through the origin each making angle of 60^(@) with line x-y=0 , is

show that the equation of the straight line through the origin making angle phi with the line y=mx+b

Find the equation of the st.line through the origin making angle of 60^(@) with st. Line x+sqrt(3)y+3sqrt(3)=0 .

The joint equation of pair of lines passing through the origin and making an angle of 45^(@) with the line 3x+y=0 is

Equation of the circle passing through the origin and having its centre on the line y = 3x at a distance sqrt10 from the origin is

Find the combined equation of the lines through the origin : (1) each making an ange of 45^(@) with the line 3x + y = 2. (2) each making an angle of pi//6 with the line 3x + y - 6 = 0 . (3) which form an equilateral triangle with the line 3x + 4y = 8.

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
  1. If a chord of the circle x^2+y^2-4x-2y-c=0 is trisected at the points ...

    Text Solution

    |

  2. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

    Text Solution

    |

  3. An equation of a cirlce through the origin, making an intercept of sqr...

    Text Solution

    |

  4. Find the equations to the common tangents of the circles x^2+y^2-2x-6y...

    Text Solution

    |

  5. The common tangents to the circles x^2 + y^2 + 2x =0 and x^2 + y^2-6x=...

    Text Solution

    |

  6. C(1): x^(2) + y^(2) = 25, C(2) : x^(2) + y^(2) - 2x - 4y -7 = 0 be two...

    Text Solution

    |

  7. Two circles x^(2) + y^(2) + ax + ay - 7 = 0 and x^(2) + y^(2) - 10x ...

    Text Solution

    |

  8. The positive integral value of lambda, for which line 4x + 3y - 16lam...

    Text Solution

    |

  9. If the area of a quadrilateral formed by the tangents from the origin ...

    Text Solution

    |

  10. If (a cos theta(1), a sin theta(1)), ( a cos theta(2), a sin theta(2))...

    Text Solution

    |

  11. Equation of tangents drawn from (0, 0) to x^(2) + y^(2) - 6x -6y + 9 =...

    Text Solution

    |

  12. The locus of the centre of the circle which moves such that it touches...

    Text Solution

    |

  13. If a point (a, sqrt(a)) lies in region bounded between the circles x^(...

    Text Solution

    |

  14. Tangents and normal from a point (3, 1) to circle C whose equation x^(...

    Text Solution

    |

  15. C(1) and C(2) are two concentrate circles, the radius of C(2) being t...

    Text Solution

    |

  16. The equation (s) of common tangents (s) to the two circles x^(2) + y^...

    Text Solution

    |

  17. The equation (s) of circle (s) touching 12x - 5y = 7 at (1, 1) and hav...

    Text Solution

    |

  18. Let circle cuts ortholognally each of the three circles x^(2) + y^(2) ...

    Text Solution

    |

  19. The equation of a circle touching x-axis at (-4, 0) and cutting off an...

    Text Solution

    |

  20. Let one of the vertices of the square circumseribing the circle x^(2) ...

    Text Solution

    |