If `PQ` be a chord of the ellipse `x^2/a^2+y^2/b^2=1`, which subtends right angle at the centre then is distance from the centre is equal to (A) `(ab)/sqrt(a^2+b^2)` (B) `sqrt(a^2+b^2)` (C) `sqrt(ab)` (D) depends on slope of chord

Find the locus of middle points of chords of the ellipse x^2/a^2+y^2/b^2=1 which subtend right angles at its centre.

Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle at the centre. Then the locus of the centroid of triangle PAB as P moves on the circle is:

The locus of the poles of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which subtend a right angle at its centre is

The locus of the poles of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which subtend a right angle at its centre is

The locus of the poles of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which subtend a right angle at its centre is

If a variable straight line x cos alpha+y sin alpha=p which is a chord of hyperbola (x^(2))/(a^(2))=(y^(2))/(b^(2))=1 (b gt a) subtends a right angle at the centre of the hyperbola, then it always touches a fixed circle whose radius, is (a) (sqrt(a^2+b^2))/(ab) (b) (2ab)/(sqrt(a^2+b^2)) (c) (ab)/(sqrt(b^2-a^2)) (d) (sqrt(a^2+b^2))/(2ab)

Find the locus of middle points of chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which subtend right angle at its center.

Let all chords of parabola y^(2)=x+1 which subtends right angle at (1,sqrt(2)) passes through (a,b) then the value of a+b^(2) is