Home
Class 12
MATHS
A point on the parabola y^2=18 x at whic...

A point on the parabola `y^2=18 x` at which the ordinate increases at twice the rate of the abscissa is (2,6) (b) `(2,-6)` `(9/8,-9/2)` (d) `(9/8,9/2)`

A

(2,4)

B

(2,-4)

C

`(-9/8,9/2)`

D

`(9/8,9/2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MOTION|Exercise EXERCISE - II|17 Videos

  • PARABOLA

    MOTION|Exercise EXERCISE - III|25 Videos

  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

Similar Questions

Explore conceptually related problems

At what point of the parabola y^2=18x , does the ordinate increase at twice the rate of the abscissa ?

A point on the parabola y^(2)=18x at which the ordinate increases at twice the rate of the abscissa is (a)(2,6)(b)(2,-6)(c)((9)/(8),-(9)/(2))(d)((9)/(8),(9)/(2))

The point on the circle x^(2)+y^(2)=8 at which the abscissa and ordinate increase at the same rate is

The co-ordinates of a point on the parabola y^(2)=8x whose ordinate is twice of abscissa, is :

The points of the ellipse 16x^(2)+9y^(2)=400 at which the ordinate decreases at the same rate at which the abcissa increases is

The point on the ellips 9x^(2) +16y^(2)=400 at which the abscissa and ordinate decrease at the same rate is

At what point of the parabola x^(2)=9y is the abscissa three xx that of ordinate?

The point(s) on the curve y=x^(2) ,at which y -coordinate is changing six times as fast as x - coordinate is/are (a) (2,4) (b) (3,9) (c) (3,9) , (9,3) (d) (6,2)

MOTION-PARABOLA-EXERCISE - I
  1. If (t^2, 2t) is one end ofa focal chord of the parabola, y^2=4x then ...

    Text Solution

    |

  2. Find the locus of the point of intersection of the perpendicular ta...

    Text Solution

    |

  3. Find the common tangent of x^(2) + y^(2) = 2a^(2) and y^(2) = 8ax.

    Text Solution

    |

  4. The tangents to the parabola x = y^2 + c from origin are perpendicular...

    Text Solution

    |

  5. T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respect...

    Text Solution

    |

  6. P Q is a normal chord of the parabola y^2=4a x at P ,A being the verte...

    Text Solution

    |

  7. The normal at the point (bt1^2, 2bt1) on the parabola y^2 = 4bx meets ...

    Text Solution

    |

  8. Locus of the intersection of the tangents at the ends of the normal ch...

    Text Solution

    |

  9. If the normal chhord of the parabola y^(2)=4x makes an angle 45^(@) wi...

    Text Solution

    |

  10. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  11. Tangents are drawn from the points on the line x-y+3=0 parabola y^2=8x...

    Text Solution

    |

  12. The line 4x-7y + 10 = 0 intersects the parabola, y^2 = 4x at the point...

    Text Solution

    |

  13. From the point (4, 6) a pair of tangent lines are drawn to the parabol...

    Text Solution

    |

  14. PSQ is a focal chord of the parabola y^2=8xdotIf\ S P=6, then write SQ...

    Text Solution

    |

  15. The equation of the circle drawn with the focus of the parabola (x – 1...

    Text Solution

    |

  16. The slope of the focal chords of the parabola y^(2) = 16x which are ta...

    Text Solution

    |

  17. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The tangent at the point P(x1, y1) to the parabola y^2 = 4 a x meets t...

    Text Solution

    |