If two chords of circle `x^2+y^2-a x-b y=0` , drawn from the point (a, b) is divided by the x-axis in the ratio 2: 1 then : `a^2>2b^2` (b) `a^2<3b^2` `a^2>4b^2` (d) `a^2<4b^2`

If two chords of circle x^2+y^2-a x-b y=0 , drawn from the point (a, b) is divided by the x-axis in the ratio 2: 1 then : a^2>3b^2 (b) a^2 4b^2 (d) a^2<4b^2

If two chords of circle x^(2)+y^(2)-ax-by=0 drawn from the point (a,b) is divided by the x- axis in the ratio 2:1 then :a^(2)>2b^(2)(b)a^(2) 4b^(2)(d)a^(2)<4b^(2)

If two distnct chords of the circle x^2+y^2 -2x -4y=0 drawn from the point P (a,b) are bisected by y-axis then a) (b+2)^2>4a b) (b-2)^2>4a c) (b-2)^2>2a d) (b+2)^2>a

If two distnct chords of the circle x^(2)+y^(2)-2x-4y=0 drawn from the point P(a,b) are bisected by y-axis then a) (b+2)^(2)>4ab)(b-2)^(2)>4ac)(b-2)^(2)>2ad)(b+2)^(2)>a

The locus of the midpoints of the chords of the circle x^2+y^2-a x-b y=0 which subtend a right angle at (a/2, b/2) is (a) a x+b y=0 (b) a x+b y=a^2+b^2 (c) x^2+y^2-a x-b y+(a^2+b^2)/8=0 (d) x^2+y^2-a x-b y-(a^2+b^2)/8=0

The locus of the midpoints of the chords of the circle x^2+y^2-a x-b y=0 which subtend a right angle at (a/2, b/2) is (a) a x+b y=0 (b) a x+b y=a^2=b^2 (c) x^2+y^2-a x-b y+(a^2+b^2)/8=0 (d) x^2+y^2-a x-b y-(a^2+b^2)/8=0

If two distinct chords drawn from the point (a, b) on the circle x^2+y^2-ax-by=0 (where ab!=0) are bisected by the x-axis, then the roots of the quadratic equation bx^2 - ax + 2b = 0 are necessarily. (A) imaginary (B) real and equal (C) real and unequal (D) rational

If two distinct chords drawn from the point (a, b) on the circle x^2+y^2-ax-by=0 (where ab!=0) are bisected by the x-axis, then the roots of the quadratic equation bx^2 - ax + 2b = 0 are necessarily. (A) imaginary (B) real and equal (C) real and unequal (D) rational

A point (-4,1) divides the line joining A(2,-2) and B(x,y) in the ratio 3:5. Then point B is

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is (a) x^2+y^2+3x+4y=0 (b) x^2+y^2=36 (c) x^2+y^2=16 (d) x^2+y^2-3x-5y=0