Home
Class 11
MATHS
A straight line with slope 2 and y-inter...

A straight line with slope 2 and y-intercept 5 touches the circle `x^2+y^2+16 x+12 y+c=0` at a point `Q`. Then the coordinates of `Q` are (a) `(-6,11)` (b) `(-9,-13)` (c)`(-10 ,-15)` (d) `(-6,-7)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

S straight line with slope 2 and y-intercept 5 touches the circle x^2+y^2+16 x+12 y+c=0 at a point Q . Then the coordinates of Q are (-6,11) (b) (-9,-13) (-10 ,-15) (d) (-6,-7)

Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y^2+16x+12y+c=0 at a point Q , then the coordinates of Q are (A) (-6,-11) (B) (-9,-13) (C) (-10,-15) (D) (-6,-7)

Find the slope and the y-intercept of the lines. 3x+2y =6 .

Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(2) -6x + 4y + 12 = 0

The tangent to the parabola y=x^(2)-2x+8 at P(2, 8) touches the circle x^(2)+y^(2)+18x+14y+lambda=0 at Q. The coordinates of point Q are

If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y^(2)+16x+12y+c=0 then the value of c is

A circle touching the line x +y - 2 = 0 at (1,1) and cuts the circle x^(2) +y^(2) +4x +5y - 6 = 0 at P and Q. Then

If one end of a diameter of the circle x^2 + y^2 - 8x - 14y+c=0 is the point (-3, 2) , then its other end is the point. (A) (5, 7) (B) (9, 11) (C) (10, 11) (D) (11, 12)

lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-6y-12 = 0 externally at a point (1, -1), then the radius of the circle C is :-

Find the length of the chord intercepted by the circle x^(2)+y^(2)-8x-6y=0 on the line x-7y-8=0 .

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A B C D is a square of unit area. A circle is tangent to two sides of ...

    Text Solution

    |

  2. Ba n dC are fixed points having coordinates (3, 0) and (-3,0), respe...

    Text Solution

    |

  3. A straight line with slope 2 and y-intercept 5 touches the circle x^2+...

    Text Solution

    |

  4. A pair of tangents is drawn to a unit circle with center at the origin...

    Text Solution

    |

  5. A line meets the coordinate axes at A and B . A circle is circumscribe...

    Text Solution

    |

  6. A circle of constant radius a passes through the origin O and cuts the...

    Text Solution

    |

  7. The equation of the line inclined at an angle of pi/4 to the x-axis ,s...

    Text Solution

    |

  8. If a circle of constant radius 3k passes through the origin O and me...

    Text Solution

    |

  9. A straight line l1 with equation x-2y+10=0 meets the circle with equat...

    Text Solution

    |

  10. Let C be a circle with two diameters intersecting at an angle of 30^0d...

    Text Solution

    |

  11. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect ortho...

    Text Solution

    |

  12. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

    Text Solution

    |

  13. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |

  14. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

    Text Solution

    |

  15. The centre of circle inscribed in a square formed by lines x^2-8x+12...

    Text Solution

    |

  16. If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the ...

    Text Solution

    |

  17. Consider square A B C D of side length 1. Let P be the set of all segm...

    Text Solution

    |

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

    Text Solution

    |

  19. Statement 1 : The circle having equation x^2+y^2-2x+6y+5=0 intersects ...

    Text Solution

    |

  20. Statement 1 : The center of the circle having x+y=3 and x-y=1 as its n...

    Text Solution

    |