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)`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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)

The slope and y - intercept of the line 2x-3y +5=0 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

Find the length of intercept, the circle x^2+y^2+10 x-6y+9=0 makes on the x-axis.

Find the length of the chord intercepted by the circle x^2+y^2-6x+8y-5=0 on the line 2x-y=5.

The straight line y=mx+c cuts the circle x^2+y^2=a^2 at real points if

If the tangent to the parabola y= x^(2) + 6 at the point (1, 7) also touches the circle x^(2) + y^(2) + 16x + 12y + c =0 , then the coordinates of the point of contact are-

If the straight line y= 4x -5 touches the curve y^(2) = px^(3) + q at (2, 3), then the values of p and q are-

The coordinates of the centre of the ellipse 4x^(2) + 9y^(2) - 16 x + 18 y - 11 = 0 are _

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

CENGAGE PUBLICATION-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 are drawn to a unit circle with centre at the origi...

    Text Solution

    |

  5. A line meets the co-ordinate axes in 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 and meets ...

    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 = ...

    Text Solution

    |

  12. The triangle PQR is inscribed in the circle x^2+y^2=25. If Q and R hav...

    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 to ...

    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 P 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

    |