Home
Class 12
MATHS
The slope of the normal to the cirlce x^...

The slope of the normal to the cirlce `x^(2)+y^(2)=a^(2)` at the point `(x_(1),y_(1))` is -

A

`(x_(1))/(y_(1))`

B

`-(x_(1))/(y_(1))`

C

`-(y_(1))/(x_(1))`

D

`(y_(1))/(x_(1))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|35 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|42 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos
  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos
  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

The slope of the normal to the circle x^(2)+y^(2)=a^(2) at the point (a cos theta, a sin theta) is-

Find the equation of the normal to the hyperbola 3x^(2)-4y^(2)=12 at the point (x_(1),y_(1)) on it. Hence, show that the straight line x+y+7=0 is a normal to the hyperbola. Find the coordinates of the foot of the normal.

If m is the slop of the normal to the continous curve y=f(x) at the point (x_(1),y_(1)) , then m is equal to-

The slope of the normal to the curve y= (2x)/(1+ x^(2)) at y=1 is-

The eqaution of the normal to the continuous curve y=f(x) at the point (x_(1),y_(1)) is-

The slope of the tangent to the curve (y-x^(5))^(2)=x(1+x^(2))^(2) at the point (1, 3) is

The slop of the normal to the reactangular hyperbola xy=c^(2) point ( x_(1),y_(1)) is -

The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the point (1,3) is

If p_(1) and p_(2) be the lengths of the perpendiculars from the origin upon the tangent and normal respectively to the curve x^((2)/(3)) +y^((2)/(3)) = a^((2)/(3)) at the point (x_(1), y_(1)) , then-

Find the equation of the normal to the parabola y^(2)=4ax at a point (x_(1),y_(1)) on it. Show that three normal can be drawn to a parabola from an external point.

CHHAYA PUBLICATION-TANGENT AND NORMAL -MULTIPLE CHOICE TYPE QUESTIONS
  1. If m is the slop of the normal to the continous curve y=f(x) at the p...

    Text Solution

    |

  2. If the tangent to the contentious curve y=f(x) "at" p(a,b) is paralle...

    Text Solution

    |

  3. If the tangent t the curv y=f(x )"at" P(x(1),y(1)) is paralle to the y...

    Text Solution

    |

  4. If the slopes of the tangents and normal to the curve y=f(x) at the po...

    Text Solution

    |

  5. The eqaution of the normal to the continuous curve y=f(x) at the point...

    Text Solution

    |

  6. If the noraml to the continous curve y=f(x)"at" P(x(1),y(1)) makes ang...

    Text Solution

    |

  7. The slope of the normal to the parabola x^(2)= 4ay at (2at, at^(2...

    Text Solution

    |

  8. The slope of the normal to the rectangular hyperbola xy=4 "at" (2t, (2...

    Text Solution

    |

  9. The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2...

    Text Solution

    |

  10. The slope of the normal to the cirlce x^(2)+y^(2)=a^(2) at the point (...

    Text Solution

    |

  11. The slope of the tangent to the rectangular hyperbola xy=c^(2) at the ...

    Text Solution

    |

  12. The slope of the normal to the circle x^(2)+y^(2)=a^(2) at the point (...

    Text Solution

    |

  13. The slop of the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))...

    Text Solution

    |

  14. The slop of the normal to the reactangular hyperbola xy=c^(2) point (...

    Text Solution

    |

  15. The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

    Text Solution

    |

  16. The slop of the normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)...

    Text Solution

    |