Home
Class 12
MATHS
Tangents are drawn to x^2+y^2=16 from th...

Tangents are drawn to `x^2+y^2=16` from the point `P(0, h)dot` These tangents meet the `x-a xi s` at `Aa n dB` . If the area of triangle `P A B` is minimum, then `h=12sqrt(2)` (b) `h=6sqrt(2)` `h=8sqrt(2)` (d) `h=4sqrt(2)`

A

`h = 12 sqrt(2)`

B

`h = 6 sqrt(2)`

C

`h = 8 sqrt(2)`

D

`h = 4 sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn to x^(2)+y^(2)=16 from the point P(0,h). These tangents meet the x- axis at A and B. If the area of triangle PAB is minimum,then h=12sqrt(2) (b) h=6sqrt(2)h=8sqrt(2) (d) h=4sqrt(2)

Tangents are drawn to x^2+y^2=16 from P(0,h). These tangents meet x-axis at A and B.If the area of PAB is minimum, then value of h is: (a) 12sqrt2 (b) 8sqrt2 (c) 4sqrt2 (d) sqrt2

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x. These tangents meet the line x=2 at P and Q, then length of PQ is

Tangents are drawn to the hyperbola 4x^(2)-y^(2)=36 at the points P and Q . If these tangents intersect at the point T(0,3) and the area (in sq units) of Delta TPQ is a sqrt(5) then a=

Tangents are drawn to the circle x^2 + y^2 = 32 from a point A lying on the x-axis. The tangents cut the y-axis at points B and C , then the coordinate(s) of A such that the area of the triangle ABC is minimum may be: (A) (4sqrt(2), 0) (B) (4, 0) (C) (-4, 0) (D) (-4sqrt(2), 0)

Tangents are drawn to the circle x^2+y^2=50 from a point 'P' lying on the x-axis. These tangents meet the y-axis at points P_1' and P_2' . Possible coordinates of 'P' so that area of triangle PP_1P_2 is minimum , is/are

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

If the area of the triangle formed by the lines x=0,y=0,3x+4y-a(a>0) is 1, then a=(A)sqrt(6)(B)2sqrt(6)(C)4sqrt(6)(D)6sqrt(2)

If A is the area an equilateral triangle of height h , then (a) A=sqrt(3)\ h^2 (b) sqrt(3)A=h (c) sqrt(3)A=h^2 (d) 3A=h^2

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h). If /_ACB is maximum,then (a)h=3sqrt(5)(b)h=2sqrt(5)(c)h=sqrt(5)(d)h=2sqrt(10)

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  2. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

    Text Solution

    |

  3. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

    Text Solution

    |

  4. A cylindrical gas container is closed at the top and open at the ...

    Text Solution

    |

  5. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  6. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  7. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  8. A ball is dropped from a platform 19.6 m high. Its position function i...

    Text Solution

    |

  9. The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...

    Text Solution

    |

  10. A stone is dropped into a quiet lake and waves move in circles at a sp...

    Text Solution

    |

  11. If a circular plate is heated uniformly, its area expands 3c times as ...

    Text Solution

    |

  12. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  13. A ladder is resting with the wall at an angle of 30^circ. A man is asc...

    Text Solution

    |

  14. For the curve y=5x-2x^(3), if x increases at the rate of 2units/sec, t...

    Text Solution

    |

  15. An edge of a variable cube is increasing at the rate of 10 cm/s. How f...

    Text Solution

    |

  16. The altitude of a cone is 20 cm and its semi-vertical angle is 30^@. I...

    Text Solution

    |

  17. The aproximate value of square root of 25.2 is

    Text Solution

    |

  18. The possible percentage error in computing the parallel resistance R o...

    Text Solution

    |

  19. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

    Text Solution

    |

  20. The approximate value of {3.92)^(2) + 3(2.1)^(4)}^(1//6) is

    Text Solution

    |