The straight line `ax + by = 1` makes with the curve `px^2 + 2axy + qy^2 = r`, a chord which subtends aright angle at the origin. Then

The straight line px+qy=1 makes the ax^2+2hxy+by^2=c , a chord which subtends a right angle at the origin . Show that c(p^2+q^2) =a+b . Also show that px+qy=1 touches a circle whose radius is sqrt(c/(a+b))

The straight line px+qy=1 makes the ax^2+2hxy+by^2=c , a chord which subtends a right angle at the origin . Show that c(p^2+q^2) =a+b . Also show that px+qy=1 touches a circle whose radius is sqrt(c/(a+b))

The straight line lx+my=1 intersects px^(2)+2qxy+ry^(2)=s at AB.Chord AB subtends a right angle at the origin.If lx+my=1 is a tangent to a circle x^(2)+y^(2)=a^(2), then a=

All the chords of the curve 2x^(2) + 3y^(2) - 5x =0 which subtend a right angle at the origin are concurrent at :

All the chords of the curve 2x^(2) + 3y^(2) - 5x =0 which subtend a right angle at the origin are concurrent at :

All the chords of the curve 2x^(2)+3y^(2)-5x=0 which subtend a right angle at the origin are concurrent at :

The locus of the midpoint of the chord of the circle x^2 + y^2 =4 which subtends a right angle at the origin is?

The locus of the midpoints of chords of the circle x^(2) + y^(2) = 1 which subtends a right angle at the origin is

The locus of the midpoint of chord of the circle x^(2)+y^(2)=1 which subtends a right angle at the origin is