If A=(0,4),B=(0,-4) and `|PA-PB|=6` and the locus of P is `7y^(2)-9x^(2)=9k` ,Then k is

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

Let vertices of the triangle ABC is A(0,0),B(0,1) and C(x,y) and perimeter is 4 then the locus of C is : (A)9x^(2)+8y^(2)+8y=16(B)8x^(2)+9y^(2)+9y=16(C)9x^(2)+9y^(2)+9y=16(D)8x^(2)+9y^(2)-9x=16

A=(2,5),B=(4,-11) and the locus of ^ prime C' is 9x+7y+4=0 then the locus of the centroid of ABC is

A(0,4),B(0,-4) are two points.The locus of P which moves such that |PA-PB|=6 is

If 4x-3y+k=0 touches the ellipse 5x^(2)+9y^(2)=45 , then k is equal to

Given the points A(0,4) and B(0,4). Then the equation of the locus of the point P(x,y) such that |AP-BP|=6, is

If A -= (0,0) and B -= (4,-3) then the locus of the moving point P such that 2 PA = 3PB is

The coordinates of the point A and B are (a,0) and (-a,0), respectively.If a point P moves so that PA^(2)-PB^(2)=2k^(2), when k is constant,then find the equation to the locus of the point P.

Let A(0,-4) and B(0,4) be two fixed points. Find the locus of a point P which moves so that PA+PB=12 .

A(4,0) , B(-4,0) are two points.If the locus of P which moves such that |PA-PB|=6 is ax^(2)+by^(2)-63=0 .Then |a+b| is equal to