From the points (3, 4), chords are drawn to the circle `x^2+y^2-4x=0` . The locus of the midpoints of the chords is (a) `x^2+y^2-5x-4y+6=0` (b)`x^2+y^2+5x-4y+6=0` (c)`x^2+y^2-5x+4y+6=0` (d)`x^2+y^2-5x-4y-6=0`

y-1=m_1(x-3) and y - 3 = m_2(x - 1) are two family of straight lines, at right angled to each other. The locus of their point of intersection is: (A) x^2 + y^2 - 2x - 6y + 10 = 0 (B) x^2 + y^2 - 4x - 4y +6 = 0 (C) x^2 + y^2 - 2x - 6y + 6 = 0 (D) x^2 + y^2 - 4x - by - 6 = 0

Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 parallel to y = 2x.

Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of the circle x^2 + y^2 - 8x-6y+23=0

Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The locus of the midpoint of PQ is y^(2)+4x+2=0y^(2)-4x+2=0x^(2)-4y+2=0x^(2)+4y+2=0

Locus of mid points of chords to the circle x^(2)+y^(2)-8x+6y+20=0 which are parallel to the line 3x+4y+5=0 is