If the distance from P to the points (5,-4),(7,6) are in the ratio 2:3 ,then the locus of P is
`5x^(2)+5y^(2)-12x-86y+17=0`,
`5x^(2)+5y^(2)-34x+120y+29=0,`
`5x^(2)+5y^(2)-5x+y+14=0`
`3x^(2)+3y^(2)-20x+38y+87=0`

The distances of a point 'P' from the points A(5,-4),B(7,6) are in the ratio 2:3 and the locus of P is x^(2)+y^(2)-(34)/(5)x+(120)/(5)y+k=0 then "k" is

5x^2+5y^2-7y+3x=2=0

Equation of the circle cutting orthogonal these circles x^(2)+y^(2)-2x-3y-7=0x^(2)+y^(2)+5x-5y+9=0 and x^(2)+y^(2)+7x-9y+29=0 is:

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

The locus of a point "P" ,if the join of the points (2,3) and (-1,5) subtends right angle at "P" is x^(2)+y^(2)-x-8y+13=0 x^(2)-y^(2)-x+8y+3=0 x^(2)+y^(2)-4x-4y=0,(x,y)!=(0,4)&(4,0) x^(2)+y^(2)-x-8y+13=0,(x,y)!=(2,3)&(-1,5)

The distance of the line 2x+3y-5=0 from the point (3, 5) along the line 5x-3y=0 in units is

I. 15x^(2) - 29x - 14 = 0 II. 6y^(2) - 5y - 25 = 0