Home
Class 12
MATHS
Locus of the mid points of the chords of...

Locus of the mid points of the chords of the circle `x^2+y^2=a^2` which pass through the fixed point `(h ,k)` is `x^2+y^2+2h x+2k y=0` `x^2+y^2-2h x-2k y=0` `x^2+y^2+h x+k y=0` `x^2+y^2-h x-k y=0` `x^2+y^2+h x-k y=0`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The locus of the mid-point of the chords of the circle x^(2)+y^(2)-4x-6y-3=0 which subtend a right angle at the point(h,k),is

Show that the locus of the middle point of all chords of the parabola y^2 = 4ax passing through a fixed point (h, k) is y^2 - ky=2a(x-h) .

The locus of the mid-point of a chord of the circle x^2 + y^2 -2x - 2y - 23=0 , of length 8 units is : (A) x^2 + y^2 - x - y + 1 =0 (B) x^2 + y^2 - 2x - 2y - 7 = 0 (C) x^2 + y^2 - 2x - 2y + 1 = 0 (D) x^2 + y^2 + 2x + 2y + 5 = 0

If the radius of the circle x^(2)+y^(2)-18x+12y+k=0 be 11, then k=

If the locus of the mid points of the chords of the circle x^(2)+y^(2)-2x+2y-2=0 which are parallel to the line y=x+5 is ax+by+c=0(a>0) then (a+c)/(b)=

If the gradient one of the lines x^2+h x y+2y^2=0 is twice that of the other, then h=_______

Show that the circle through three points the normals at which to the parabola y^(2)=4ax are concurrent at the point (h,k) is 2(x^(2)+y^(2))-2(h+2a)x-ky=0

The equation of the curve,slope of whose tangent at any point (h,k) is (2k)/(h) and which passes through the point (1,1) is (i)x^(2)=y( ii) y^(2)=x( iii) x^(2)=2y( iv )y^(2)=2x

Through a fixed point (h,k), secant are drawn to the circle x^(2)+y^(2)=r^(2) . Show that the locus of the midpoints of the secants by the circle is x^(2)+y^(2)=hx+ky .

If the line hx + ky = 1 touches x^(2)+y^(2)=a^(2) , then the locus of the point (h, k) is a circle of radius

RESONANCE DPP-JEE MAINS-All Questions
  1. If lim(n->oo)(n*3^n)/(n(x-2)^n +n*3^(n+1)-3^n) = 1/3 then the range of...

    Text Solution

    |

  2. If [.] and {.} denote greatest and fractional part functions respectiv...

    Text Solution

    |

  3. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

    Text Solution

    |

  4. A student read common difference of an A.P. as -2 instead of 2 and g...

    Text Solution

    |

  5. If the slope of the curve y=(ax)/(b-x) at the point (1, 1) is 2, then

    Text Solution

    |

  6. The area of the figure bounded by right of the line y = x + 1, y= cos ...

    Text Solution

    |

  7. If (-2a,a+1) lies in the interior (smaller region) bounded by the circ...

    Text Solution

    |

  8. How many different words can be formed with the letters of the word...

    Text Solution

    |

  9. Let N be the set of all natural numbers and let R be relation i...

    Text Solution

    |

  10. Let mean of 100 data points be 55 and variance be 16. Now if every d...

    Text Solution

    |

  11. All the 7 digit numbers containing each of the digits 1,2,3,4, 5, 6,7 ...

    Text Solution

    |

  12. If alpha,beta,gamma,delta are four complex numbers such that gamma/del...

    Text Solution

    |

  13. ^7C7+^8C7+^9C7+^(10)C7+^(20)C7= ^21 C8 2. ^21 C(13) 3. Neither 1...

    Text Solution

    |

  14. The value of int5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))...

    Text Solution

    |

  15. Let A = {1,2,3,4,...,n} be a set containing n elements, then for any g...

    Text Solution

    |

  16. The area of the region bounded by the curuse y=|x-2|,x=1,x=3 and the x...

    Text Solution

    |

  17. Let h(x)=x^(m/n) for x in R , where +m and n are odd numbers and 0<m<...

    Text Solution

    |

  18. The set of real values of x satisfying the inequality log(x+1/x)(log2(...

    Text Solution

    |

  19. If vec xa n d vec y are unit vectors and | vec z|=2/7 such that vec ...

    Text Solution

    |

  20. The number of 3xx3 matrices A whose entries are either 0or1 and for wh...

    Text Solution

    |