Home
Class 12
MATHS
The point (a ,2a) is an interior point o...

The point `(a ,2a)` is an interior point of the region bounded by the parabola `y^2=16 x` and the double ordinate through the focus. then find the values of `adot`

A

`a in (- oo, -4)`

B

`a in (0,4)`

C

`a in (0,2)`

D

`a in (4, oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

Using integration, find the area of the region bounded by the parabola y^2=16x and the line x=4

Find the area of the region bounded by the parabola y=x^2 and y=|x| .

Find the area of the region bounded by the parabola y=x^2 and y=|x| .

Find the area of the region bounded by: the parabola y=x^2 and the line y = x

Find the area of the region bounded by: the parabola y=x^2 and the line y = x

Find the area of the region bounded parabola y^2=4a x\ and the line x=adot

Find the area of the region bounded by the two parabolas y=x^2 and y^2=x .

Find the area of the region bounded by parabola y^2=2x+1\ and the line x-y-1=0.

Using integration, find the area of the region bounded by the parabola y^(2)=4x and the line x=4 .

Find the area of the region bounded by the parabola y^2=2x and straight line x-y=4.

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. Find the coordinates of any point on the parabola whose focus is (0, 1...

    Text Solution

    |

  2. The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the va...

    Text Solution

    |

  3. The point (a ,2a) is an interior point of the region bounded by the pa...

    Text Solution

    |

  4. Consider two points A(at1^2,2at1) and B(at2^2,2at2) lying on the parab...

    Text Solution

    |

  5. Locus of trisection point of any arbitrary double ordinate of the para...

    Text Solution

    |

  6. The equation of the chord of contact of tangents from (2, 5) to the pa...

    Text Solution

    |

  7. The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4...

    Text Solution

    |

  8. The locus of the midpoint of the segment joining the focus to a moving...

    Text Solution

    |

  9. If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y...

    Text Solution

    |

  10. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 ...

    Text Solution

    |

  11. At the point of intersection of the curves y^2=4ax" and "xy=c^2, the t...

    Text Solution

    |

  12. If the line px + qy =1m is a tangent to the parabola y^(2) =4ax, then

    Text Solution

    |

  13. The point of contact of the tangent of y^2=2x inclined to 45^(@) to th...

    Text Solution

    |

  14. Two straight lines (y-b)=m1(x+a) and (y-b)=m2(x+a) are the tangents of...

    Text Solution

    |

  15. The locus of the intersection points of pair of perpendicular tangents...

    Text Solution

    |

  16. If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at...

    Text Solution

    |

  17. Consider a curve C : y^2-8x-2y-15=0 in which two tangents T1a n dT2 ar...

    Text Solution

    |

  18. If a tangent to the parabola y^2=4a x meets the x-axis at T and inters...

    Text Solution

    |

  19. Let N be the foot of perpendicular to the x-axis from point P on the p...

    Text Solution

    |

  20. AB, AC are tangents to a parabola y^2=4ax; p1, p2, p3 are the lengths...

    Text Solution

    |