Home
Class 12
MATHS
Find the equation of tangent to the cir...

Find the equation of tangent to the circle `x^(2)+y^(2)-2ax=0` at the point `[a(1+cosalpha),asinalpha]`

Text Solution

Verified by Experts

The correct Answer is:
`xcosalpha+ysinalpha=a(1+cosalpha)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

Find the equation of tangent to the conic x^(2)-y^(2)-8x+2y+11=0 at (2,1)

Find the equation of the tangent to the circle x^(2)+y^(2)-30x+6y+109=0 at (4,-1)

Find the equation of tangents to circle x^(2)+y^(2)-2x+4y-4=0 drawn from point P(2,3).

Find the equation of tangent line to the curve y^(2)-7x-8y+14=0 at point (2,0)

Find the equation of the tangent to the circle x^(2) + y^(2) + 5x - 3y - 4 = 0 at the point (1,2) .

Find the equation of the tangent and normal to the circle 2x^2+2y^2-3x-4y+1=0 at the point (1,2)

Find the equation of the tangent to the circle x^(2)+y^(2)-80x-60y+2100=0 at the point nearest to the origin.

find the equation of the tangents to the circle x^(2)+y^(2)-2x-4y-20=0 which pass through the point (8,1)

Find the equation of the tangent to the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 which makes with the coordinate axes a triangle of area a^(2)

The equation of tangent to the circle x^(2)+y^(2)-r^(2)=0 at a point on it (whose parameter is theta ) is

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the equation of tangent to the circle x^(2)+y^(2)-2ax=0 at the p...

    Text Solution

    |

  2. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |

  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

    Text Solution

    |

  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  9. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

    Text Solution

    |

  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  11. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |