10. A and b are the points (a, 0) and (-a, 0)respectively, A point P m

1.	10. A and b are the points (a, 0) and (-a, 0)respectively, A point P moves Buch that<APB = 900, The locus of P is(a) xy 2a2(c) x2-y2 = a2d)x2 + y2 = a2/2
Answer» let the point be p (x,y) slope of (x,y) and (a,0) => (y-0)/(x-a) = y/(x-a)slope of (x,y) and (-a,0)=> (y-0)/(x+a) = y/(x+a) now , product of slopes should be -1 since the angle is 90° so, y/(x-a)*y/(x+a) = -1=> y²/(x²-a²) = -1=> y² = a²-x²=> x²+y² = a² option b

10. A and b are the points (a, 0) and (-a, 0)respectively, A point P moves Buch that<APB = 900, The locus of P is(a) xy 2a2(c) x2-y2 = a2d)x2 + y2 = a2/2

Answer»

let the point be p (x,y)

slope of (x,y) and (a,0) => (y-0)/(x-a) = y/(x-a)slope of (x,y) and (-a,0)=> (y-0)/(x+a) = y/(x+a)

now , product of slopes should be -1 since the angle is 90°

so, y/(x-a)*y/(x+a) = -1=> y²/(x²-a²) = -1=> y² = a²-x²=> x²+y² = a²

option b