Home
Class 12
MATHS
If the tangent at the point p on the cir...

If the tangent at the point p on the circle `x^(2)+y^(2) +6x +6y-2=0` meets the straight line `5x-2y+ 6 =0` at the point Q on the y-axis, then the length of PQ is-

A

4 units

B

`2 sqrt(5)` units

C

5 units

D

`3 sqrt(5)` units

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 6|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 7|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

If the tangent at the point P on the circle x^2+y^2+6x+6y=2 meets the straight line 5x - 2y + 6 = 0 at a point on the y-axis, then the length of PQ is

The tangent drawn at the point (0, 1) on the curve y=e^(2x) meets the x-axis at the point -

The normal to-be circle x^2 +y^2 - 4x + 6y -12=0 passes through the point

The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2 + 4x + 6y + 1 = 0 is

If the straight lines 2x - 3y + 5= 0 and ax + 2y. = 6 are parallel, then the value of a is

The point (2, -1) ________ the circle x^(2) + y^(2) - 4x + 6y + 8 = 0 .

If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y - 6 =0 parallel to the line 3x - 4y +7 =0 is 3x - 4y +k=0 , then the value of k 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 tangent from any point on the circule x^(2)+y^(2)-4x+6y-2=0 to the circle x^(2)+y^(2)-4x+6y+7=0

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

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 5
  1. The angle between the pair of tangents drawn to the ellipse 3x^(2) + ...

    Text Solution

    |

  2. The angle of intersection of the cuves y=x^(2) and 6y=7-x^(3) at (1,...

    Text Solution

    |

  3. If the tangent at the point p on the circle x^(2)+y^(2) +6x +6y-2=0 me...

    Text Solution

    |

  4. The equation of the common tangent to the curves y^(2)=8x and xy=-1 is...

    Text Solution

    |

  5. Area ( in square unit ) bounded by the curve y= sqrt(x) , the straigh...

    Text Solution

    |

  6. The area bounded by the coordinate axes and the curve sqrt(x) + sqrt(...

    Text Solution

    |

  7. The normal to the curve x= a(1 + cos theta ) , y= a sin theta at the ...

    Text Solution

    |

  8. If the area bounded by the parabola y= ax^(2) and x= ay^(2) , a gt 0...

    Text Solution

    |

  9. The locus of the middle point of the intercept of the tangent drawn fr...

    Text Solution

    |

  10. Which one of the following definite integrals represents the area inc...

    Text Solution

    |

  11. A normal to the parabola y^(2)=5x makes an angle 45^(@) with the x-ax...

    Text Solution

    |

  12. If the tangents to the graph of the function y= f(x) make angle (pi)/(...

    Text Solution

    |

  13. The maximum value of xy when x+2y=8 is

    Text Solution

    |

  14. The function f(x)= tan^(-1) (sin x + cos x ), x gt 0 is always an inc...

    Text Solution

    |

  15. The points of extrema of the function f(x)= int(0)^(x)(sin t)/(t)dt i...

    Text Solution

    |

  16. The minimum value of the function f(x)= sin x + cos x is-

    Text Solution

    |

  17. The perimeter of a sector is p , then the area of the sector is maxim...

    Text Solution

    |

  18. The value of a ( a ge 3) for which the sum of the cubes of the roots ...

    Text Solution

    |

  19. If f(x)= x^(3) + (1)/(x^(3) )(x ne 0), then its greatest value is-

    Text Solution

    |

  20. The nearest point on the line 3x- 4y = 25 from the origin is

    Text Solution

    |