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

The slope of the tangent at the point (h, h) of the circle `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|Exercise Chapter Test|55 Videos

  • CIRCLES

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

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

The slope of the tangent at the point (h,2h) on the circle x^(2)+y^(2)=5 is (where h>0)

The slope of the tangent at the point (h,2h) on the circle x^(2)+y^(2)=5 where (h>0) is

The slope of the tangent at the point (2-2) to the curve x^(2)+xy+y^(2)-4=0 is given by

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^(2)

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

If the chord of contact of the tangents from the point (alpha, beta) to the circle x^(2)+y^(2)=r_(1)^(2) is a tangent to the circle (x-a)^(2)+(y-b)^(2)=r_(2)^(2) , then

The product of the slopes of the tangents from (3,4) to the circle x^(2)+y^(2)=4 is A/B ,then A-B =

If the length of the tangent from (f,g) to the circle x^(2)+y^(2)=6 is twice the length of the tangent from the same point to the circle x^(2)+y^(2)+3x+3y=0 , then

If the circles x^(2)+y^(2)-10x+2y+10=0 and x^(2)+y^(2)-4x-6y-12=0 touch each other then the slope of the common tangent at the point of contact of the circles is

OBJECTIVE RD SHARMA-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 circle x^(2)+y^(2...

    Text Solution

    |

  4. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

    Text Solution

    |

  5. Locus of thews of the centre of the circle which touches x^2+y^2 - 6x-...

    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 mid-point of the chords of the circle x^2+y^2=4 wh...

    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 (...

    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. IF (alpha, beta) is a point on the chord PQ of the circle x^(2)+y^(2)=...

    Text Solution

    |