Home
Class 12
MATHS
The coordinates of a point on the parabo...

The coordinates of a point on the parabola `y^2=8x` whose distance from the circle `x^2+(y+6)^2=1` is minimum is (a)`(2,4)` (b) `(2,-4)` (c)`(18 ,-12)` (d) `(8,8)`

A

`(2,4)`

B

`(2,-4)`

C

`(18,-12)`

D

`(8,8)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise MULTIPLE CORRECT ANSWER TYPE|16 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise LINKED COMPREHENSION TYPE|8 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 5.8|9 Videos
  • 3D COORDINATION SYSTEM

    CENGAGE ENGLISH|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE ENGLISH|Exercise All Questions|142 Videos

Similar Questions

Explore conceptually related problems

The coordinates of a point on the parabola y^2 =8x whose focal distance is 4, is

Find the coordinates of a point the parabola y^(2)=8x whose distance from the focus is 10.

Find the coordinates of a point the parabola y^(2)=8x whose distance from the focus is 10.

Find the coordinates of points on the parabola y^2=8x whose focal distance is 4.

Find the coordinates of points on the parabola y^2=8x whose focal distance is 4.

Find the coordinates of points on the parabola y^2=8x whose focal distance is 4.

Find the coordinates of the point on the parabola y^(2)=8x whose focal distance is 8.

The co-ordinates of the points on the barabola y^(2) =8x , which is at minium distance from the circle x^(2) + (y + 6)^(2) = 1 are

The point on the parabola y^(2)=8x whose distance from the focus is 8 has x coordinate as

The focal distance of a point on a parabola y^2=8x is 8. Find it .

CENGAGE ENGLISH-APPLICATION OF DERIVATIVES-EXERCISES
  1. The tangent to the curve y = e ^(kx) at a point (0,1) meets the x-axis...

    Text Solution

    |

  2. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) Then (a) touch each oth...

    Text Solution

    |

  3. The coordinates of a point on the parabola y^2=8x whose distance from ...

    Text Solution

    |

  4. At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first q...

    Text Solution

    |

  5. Let f be a continuous, differentiable, and bijective function. If the ...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the rate of change of volume of a sphere with respect to its s...

    Text Solution

    |

  8. If there is an error of k % in measuring the edge of a cube, then the ...

    Text Solution

    |

  9. A lamp of negligible height is placed on the ground l1 away from a wal...

    Text Solution

    |

  10. The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle'...

    Text Solution

    |

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

    Text Solution

    |

  12. A cube of ice melts without changing its shape at the uniform rate o...

    Text Solution

    |

  13. The radius of the base of a cone is increasing at the rate of 3 cm/min...

    Text Solution

    |

  14. If f(x)=x^3+7x-1, then f(x) has a zero between x=0a n dx=1 . The theor...

    Text Solution

    |

  15. Consider the function f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):} ...

    Text Solution

    |

  16. Let f(x)a n dg(x) be differentiable for 0lt=xlt=1, such that f(0)=0,g(...

    Text Solution

    |

  17. If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have (a...

    Text Solution

    |

  18. A value of c for which the conclusion of Mean value theorem holds for ...

    Text Solution

    |

  19. Let f(x) be a twice differentiable function for all real values of x a...

    Text Solution

    |

  20. The value of c in Largrange's theorem for the function f(x)= log(e) s...

    Text Solution

    |