Home
Class 12
MATHS
The point on the circle x^2+y^2=2 at whi...

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

A

(1, -1)

B

(1, 1)

C

(-1, -1)

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1E (MAXIMA AND MINIMA)|221 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The point on the parabola x^2=8y for which the abscissa and ordinate changes at the same rate

The point on the parabola y^2=4x for which the abscissa and ordinate changes at the same rate

The point of the ellipse 16x^(2) + 9y^(2) = 400 . At which the ordinate decreases at the same rate at which the abscissa increases is

A point on the parabola y^2=18x at which the ordinate increases at twice the rate of the abscissa is

A particle moves along the curve y=x^2+2x . Then the point on the curve such that x and y coordinates of the particle change with the same rate

Find the co-ordinates for the points on the ellipse x^2+3y^2+37 at which the normal is parallel to the line 6x-5y=2.

On the curve x^(3)=12y , find the interval of value of x for which the abscissa changes at a faster rate than the ordinate?

A point P is moving on the curve y = 2 x^(2) . The x coordinate of P is increasing at the rate of 4 units per second . Find the rate at which y coordinate is incerasing when the point is at (2,8).

(1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is orthogonal to x^2 + y^2 = 5 . The conjugate point of (1, 2) w.r.t the circle x^2+y^2 = 5 and which lies on the first circle is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
  1. A point on the parabola y^2=18x at which the ordinate increases at twi...

    Text Solution

    |

  2. A particle moves along the curve y=x^2+2x. Then the point on the curve...

    Text Solution

    |

  3. The point on the circle x^2+y^2=2 at which the abscissa and ordinate i...

    Text Solution

    |

  4. At what value of an angle the rates of change in sine and tangent of t...

    Text Solution

    |

  5. A point is moving on y=4-2x^2. The x-coordinates of the point is decer...

    Text Solution

    |

  6. If the rate of change in the radius of a circle is 0.02 cm/sec, then t...

    Text Solution

    |

  7. The radius of a circular plate is increasing at the rate of 0.01 cm/se...

    Text Solution

    |

  8. The radius of the circular disc increases at a uniform rate of 0.025 c...

    Text Solution

    |

  9. If the rate of change in the radius of a circle is 0.5 sq.cm/sec, then...

    Text Solution

    |

  10. If the rate of change in the area of a circle is pi sq.cm/sec, then th...

    Text Solution

    |

  11. When a circular oil drop expands on water, its area increases at the u...

    Text Solution

    |

  12. A stone is dropped into a quiet pond and waves move in circles outward...

    Text Solution

    |

  13. A stone is dropped into a quiet pond and waves move in circles outward...

    Text Solution

    |

  14. If the rate of change of area of a circle is equal to tha rate of chan...

    Text Solution

    |

  15. The side of a square increases at therate of 1 cm per second. The rate...

    Text Solution

    |

  16. If the rate of change of the side of a square is 0.05 cm/sec, then the...

    Text Solution

    |

  17. the side of a square is equal to the diameter of a circle. Ifthe side ...

    Text Solution

    |

  18. Two parallel sides of a rectangle are being lengthened at the rate of ...

    Text Solution

    |

  19. A rectangular vessel is of 2 mt long, 0.5 mt breadth and 1 mt deep. If...

    Text Solution

    |

  20. Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...

    Text Solution

    |