Home
Class 12
MATHS
For the circle x^(2)+y^(2)=r^(2), find t...

For the circle `x^(2)+y^(2)=r^(2)`, find the value of r for which the area enclosed by the tangents drawn from the point P(6,8) to the circle and the chord of contact and the chord of contact is maximum.

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle formed by the tangents drawn from the point (4,6) to the circle x^(2)+y^(2)=25 and their chord of contact. Answer: (405sqrt(3))/(52) sq.units

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x The area of the triangle for tangents and their chord of contact is

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

Tangents are drawn to the parabola y^(2)=4x from the point (1,3). The length of chord of contact is

Statement-1: The line x+9y-12=0 is the chord of contact of tangents drawn from a point P to the circle 2x^(2)+2y^(2)-3x+5y-7=0 . Statement-2: The line segment joining the points of contacts of the tangents drawn from an external point P to a circle is the chord of contact of tangents drawn from P with respect to the given circle

Angle between tangents drawn from a point P to circle x^(2)+y^(2)-48-8y+8=0 is 60^(@) then length of chord of contact of P is

Tangents are drawn from external poinl P(6,8) to the circle x^(2)+y^(2)=r^(2) find the radius r of the circle such that area of triangle formed by the tangents and chord of contact is maximum is (A) 25(B) 15(C) 5(D) none

Find the equation to the chord of contact of the tangents drawn from an external point (-3, 2) to the circle x^2 + y^2 + 2x-3=0 .

Pair of tangents are drawn from origin to the circle x^2 + y^2 – 8x – 4y + 16 = 0 then square of length of chord of contact is

Consider a circle x^(2)+y^(2)=4 and a point P(4,2). theta denotes the angle enclosed by the tangents from P on the circle and A,B are the points of contact of the tangents from P on the circle.The value of theta lies in the interval The intercept made by a tangent on the x-axis is

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If f(x)=x^(3)+bx^(2)+cx+dand 0 ltb^(2)ltc, then in (-oo,oo)

    Text Solution

    |

  2. If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gt...

    Text Solution

    |

  3. The length of a longest interval in which the function 3sinx-4sin^(3...

    Text Solution

    |

  4. If f(x)=e^(1-x) then f(x) is

    Text Solution

    |

  5. The maximum value of (cosalpha(1))-(cos alpha(2))...(cosalpha(n)), u...

    Text Solution

    |

  6. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

    Text Solution

    |

  7. If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=...

    Text Solution

    |

  8. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

    Text Solution

    |

  9. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

    Text Solution

    |

  10. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

    Text Solution

    |

  11. For the circle x^(2)+y^(2)=r^(2), find the value of r for which the ar...

    Text Solution

    |

  12. Find a point on the curve x^2 + 2y^2 = 6, whose distance from the li...

    Text Solution

    |

  13. Let f:R rArr R be defined as f(x)=|x|+|x^2-1| The total number of p...

    Text Solution

    |

  14. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  15. Let f be a function defined on R (the set of all real numbers) such th...

    Text Solution

    |

  16. The maximum value of the expression (1)/(sin^(2)theta+3sinthetacosthet...

    Text Solution

    |

  17. The maximum value of the function f(x)=2x^(3)-15x^(2)+36x-48 on the se...

    Text Solution

    |

  18. A wire of length 2 units is cut into two parts which are bent respecti...

    Text Solution

    |

  19. If x = -1 and x = 2 are extreme points of f(x) = alpha log|x| + beta x...

    Text Solution

    |

  20. Let a, b R be such that the function f given by f(x)""=""ln""|x|""+""...

    Text Solution

    |