From the point A(0,3) on the circle `x^2 +4x + (y-3)^2 = 0 ` a chord AB is drawn to a point such that AM = 2AB. The equation of the locus of M is :-

From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is drawn & extended to a M point such that AM=2AB. The equation of the locus of M is: (A)x^2 +8x+y^2 =0 (B)x^2+8x+(y-3)^2=0 (C)(x-3)^2+8x+y^2=0 (D)x^2+8x+8y^=0

From the point A(0, 3) on the circle x^(2)+4x+(y-3)^(2)=0 , a chord AB is drawn and extended from point B to a point M such that AM = 2AB. The perimeter of the locus of M is ppi units. Then, the value of p is

From the point A(0, 3) on the circle x^(2)+9x+(y-3)^(2)=0, a chord AB is drawn and extended to a point M such that AM = 2AB (B lies between A & M). The locus of the point M is

From a point A(1, 1) on the circle x^(2)+y^(2)-4x-4y+6=0 two equal chords AB and AC of length 2 units are drawn. The equation of chord BC, is

A variable chord of the circle x^(2)+y^(2)=4 is drawn from the point P(3,5) meting the circle at the point A and B. A point Q is taken on the chord such that 2PQ=PA+PB The locus of Q is x^(2)+y^(2)+3x+4y=0x^(2)+y^(2)=36x^(2)+y^(2)=16x^(2)+y^(2)-3x-5y=0

If the tangents AB and AQ are drawn from the point A(3, -1) to the circle x^(2)+y^(2)-3x+2y-7=0 and C is the centre of circle, then the area of quadrilateral APCQ is :

Tangent drawn from the point P(4,0) to the circle x^(2)+y^(2)=8 touches it at the point A in the first quadrant.Find the coordinates of another point B on the circle such that AB=4.

Tangents drawn from the point (4, 3) to the circle x^(2)+y^(2)-2x-4y=0 are inclined at an angle

Tangents are drawn from P(3,0) to the circle x^(2)+y^(2)=1 touches the circle at points A and B.The equation of locus of the point whose distances from the point P and the line AB are equal is

Tangents are drawn from (4, 4) to the circle x^(2) + y^(2) – 2x – 2y – 7 = 0 to meet the circle at A and B. The length of the chord AB is