Home
Class 11
MATHS
The equation of the tangent to the circl...

The equation of the tangent to the circle `x^2 + y^2+4x- 4y + 4 =0`, which makes equal intercepts on the positive axes, is :

A

x+y=2

B

` x+y=2 sqrt2`

C

x+y=4

D

x+y=8.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent to the circle x^2+y^2+4x-4y+4=0 which makes equal intercepts on the positive coordinates axes.

The equations of the tangents to the ellipse 3x^(2)+y^(2)=3 making equal intercepts on the axes are

The circle x^2 + y^2+ 4x-7y + 12 = 0 cuts an intercept on y-axis equal to

Find the equation of the tangents to the circle x^(2)+y^(2)-2x-4y-4=0 which are (i) parallel (ii) perpendicular to the line 3x-4y-1=0

Find the equation of the tangent to the curve x^2 + 3y = 3 , which is parallel to the line y - 4x + 5 = 0

Find the equation of the tangent to the curve y = x^2 - 4x + 11 which is parallel to the line 4x - y + 8 = 0

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

Centre of the circle toucing y-axis at (0,3) and making an intercept 2 units on positive X-axis is

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. A straight line through the point (2, 2) intersects the lines sqrt3x +...

    Text Solution

    |

  2. Find the incentre of the triangle with vertices A(1,sqrt3), B(0,0) and...

    Text Solution

    |

  3. The equation of the tangent to the circle x^2 + y^2+4x- 4y + 4 =0, whi...

    Text Solution

    |

  4. Find the area bounded by the ellipse x^(2)/16+y^(2)/9=1

    Text Solution

    |

  5. The equation of the chord joining two points (x1, y1) and (x2, y2) on ...

    Text Solution

    |

  6. A square of side a lies above the X- axis and has one vertex at the or...

    Text Solution

    |

  7. Find the slope of the tangent to the curve y=3x^4−4 at x = 4

    Text Solution

    |

  8. The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 15...

    Text Solution

    |

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

    Text Solution

    |

  10. The normal at the point (bt1^2, 2bt1) on a parabola meets the parabola...

    Text Solution

    |

  11. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  12. The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) i...

    Text Solution

    |

  13. A square is formed by following two pairs of straight lines : y^2 -14...

    Text Solution

    |

  14. The focal chord of y^2= 16x is tangent to (x-6)^2+ y^2= 2, then the po...

    Text Solution

    |

  15. The area (in sq units) of the quadrilateral formed by the tangents at ...

    Text Solution

    |

  16. Which one of the following is independent of alpha in the hyperbola (0...

    Text Solution

    |

  17. Angle between tangents drawn from the point (1, 4) to the parabola y^2...

    Text Solution

    |

  18. The eccentricity of an ellipse, with its centre the origin, is 1/2. If...

    Text Solution

    |

  19. If the line 2x+sqrt(6)y=2 touches the hyperbola x^(2)-2y^(2)=4, then t...

    Text Solution

    |

  20. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |