Home
Class 12
MATHS
The slope of the tangent at the point ( ...

The slope of the tangent at the point ( h,h ) of the cirlce `x^(2) +y^(2) =a ^(2) ` is `:`

A

0

B

1

C

-1

D

depends on h

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

The slope of the tangent at the point (h, h) of the circle x^(2)+y^(2)=a^(2) , is

The slope m of a tangent through the point (7,1) to the circle x^(2)+y^2=25 satisfies the equation.

The slope of the tangent at the point of inflection of y = x ^(3) -3x ^(2)+ 6x +2009 is equal to :

The slopes of the tangents drawn form (0,2) to the hyperbola 5x^(2)-y^(2)=5 is

If the chord of contact of the tangents drawn from the point (h , k) to the circle x^2+y^2=a^2 subtends a right angle at the center, then prove that h^2+k^2=2a^2dot

If the chord of contact of tangents from a point P(h, k) to the circle x^(2)+y^(2)=a^(2) touches the circle x^(2)+(y-a)^(2)=a^(2) , then locus of P is

Show that the family of curves for which the slope of the tangent at any point (x, y) on it is (x^2+y^2)/(2x y) , is given by x^2 -y^2= c x .

Show that the family of curves for which the slope of the tangent at any point (x, y) on it is (x^2+y^2)/(2x y) , is given by x^2" -"y^2=" "c x .

If slope of the tangent at the point (x, y) on the curve is (y-1)/(x^(2)+x) , then the equation of the curve passing through M(1, 0) is :

If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is twice the length of the tangent from the same point to the circle x^(2)+y^(2)+2x+2y=0 , then

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. Circles are drawn through the point (2, 0) to cut intercept of length ...

    Text Solution

    |

  2. Find the equation of the circle which touches both the axes and the ...

    Text Solution

    |

  3. The slope of the tangent at the point ( h,h ) of the cirlce x^(2) +y^(...

    Text Solution

    |

  4. The circles x^(2)+y^(2)-10x+6=0andx^(2)+y^(2)=r^(2) intersect each oth...

    Text Solution

    |

  5. The locus of the center of the circle which touches the circle x^(2)+y...

    Text Solution

    |

  6. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

    Text Solution

    |

  7. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  8. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

    Text Solution

    |

  9. The equation of the circle described on the common chord of the circle...

    Text Solution

    |

  10. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

    Text Solution

    |

  11. A circle passes through the origin and has its center on y=x If it cut...

    Text Solution

    |

  12. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

    Text Solution

    |

  13. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

    Text Solution

    |

  14. A circle touches the x-axis and also touches the circle with center (0...

    Text Solution

    |

  15. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

    Text Solution

    |

  16. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

    Text Solution

    |

  17. The point (sintheta, costheta). theta being any real number, die insid...

    Text Solution

    |

  18. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

    Text Solution

    |

  19. The range of values of a for which the point (a, 4) is outside the cir...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |