Home
Class 12
MATHS
A normal is drawn at a point P(x, y) of ...

A normal is drawn at a point P(x, y) of a curve lt meets the x-axis at Q lf PQ is of constant length k such a curve passing through (0,k) is

A

`y(dy)/(dx)=-+sqrt(k^(2)-y^(2))`

B

`x(dy)/(dx)=-+sqrt(k^(2)-x^(2))`

C

`y(dy)/(dx)=-+sqrt(y^(2)-k^(2))`

D

`x(dy)/(dx)=-+sqrt(x^(2)-k^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 21

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

  • PRACTICE SET 23

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper-2(MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

A normal is drawn at a point P(x,y) of a curve It meets the x-axis at Q If PQ is of constant length k such a curve passing through (0,k) is

A normal is drawn at a point P(x,y) of a curve. It meets the x-axis at Q such that PQ is of constant length k . Answer the question:If the curve passes through the point (0,k) , then its equation is (A) x^2-y^2=k^2 (B) x^2+y^2=k^2 (C) x^2-y^2=2k^2 (D) x^2+y^2=2k^2

A normal is drawn at a point P(x,y) of a curve. It meets the x-axis at Q such that PQ is of constant length k . Answer the question:The differential equation describing such a curve is (A) y dy/dx=+-sqrt(k^2-x^2) (B) x dy/dx=+-sqrt(k^2-x^2) (C) y dy/dx=+-sqrt(k^2-y^2) (D) x dy/dx=+-sqrt(k^2-y^2)

A normal is drawn at a point P(x,y) of a curve.It meets the x-axis at Q. If PQ has constant length k, then show that the differential equation describing such curves is y(dy)/(dx)=+-sqrt(k^(2)-y^(2)). Find the equation of such a curve passing through (0,k).

A normal is drawn at a point P(x,y) on a curve.It meets the x-axis and thedus ofthe director such that (x intercept) ^(-1)+(y- intercept) ^(-1)=1, where O is origin,the curve passing through (3,3).

A normal is drawn at a point P(x,y) of a curve.It meets the x-axis and the y-axis in point A AND B, respectively,such that (1)/(OA)+(1)/(OB)=1, where O is the origin.Find the equation of such a curve passing through (5,4)

A tangent and a normal to a curve at any point P meet the x and y axes at A,B and C,D respectively.Find the equation of the curve passing through (1,0) if the centre of circle through O.C,P and B lies on the line y=x (where O is the origin).

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 22 -Mathematics
  1. Locus of the point of intersection of perpendicular tangents to the ci...

    Text Solution

    |

  2. In a Boolean Algebra B, for all x in B, x+1 is equal to

    Text Solution

    |

  3. A normal is drawn at a point P(x, y) of a curve lt meets the x-axis at...

    Text Solution

    |

  4. The total area enclosed by the lines y=|x|,y=0 and |x|=1 is

    Text Solution

    |

  5. intsqrt((x)/(a^(3)-x^(3))) dx is equal to

    Text Solution

    |

  6. If f(x)= |cosxl, then f'((3pi)/4) equal to -

    Text Solution

    |

  7. These is an objective type question with 4 answer choices exactly one ...

    Text Solution

    |

  8. int (cos 2x-1)/(cos 2x+1)dx is equal to

    Text Solution

    |

  9. The equation of the parabola with its vertex at (1, 1) and focus at (3...

    Text Solution

    |

  10. What is the value of (d+a).[axx{bxx(cxxd)}]?

    Text Solution

    |

  11. Let Tr be the r^(th) term of an A.P whose first term is a and common d...

    Text Solution

    |

  12. Let X=[{:(x(1)),(x(2)),(x(3)):}],A=[{:(1,-1,2),(2,0,1),(3,2,1):}] and ...

    Text Solution

    |

  13. Which of the following is a statement ?

    Text Solution

    |

  14. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

  15. The angle of intersection between the curves x^(2) = 4(y +1) and x^(2)...

    Text Solution

    |

  16. If the sum of first n natural numbers is (1)/(78) times the sum of the...

    Text Solution

    |

  17. The locus of the foot of the perpendicular from the foci an any tangen...

    Text Solution

    |

  18. The feasible for the following constraints L(1) le 0, L(2) ge 0, L(3)=...

    Text Solution

    |

  19. The value of lim(x to 1) (x^(7)-2x^(5)+1)/(x^(3)-3x^(2)+2) is

    Text Solution

    |

  20. For the function y=x+(1)/(x)

    Text Solution

    |