If P(a,b) are the coordinates of a point on the line x+y=3 such that P lies below x−axis and a distance of 3√2 units from the point Q(1,2), then number of integral values of k for which both a and b lie between the roots of quadratic equation x2−10k=kx is

If P(a,b) are the coordinates of a point on the line x+y=3 such that P

1.	If P(a,b) are the coordinates of a point on the line x+y=3 such that P lies below x−axis and a distance of 3√2 units from the point Q(1,2), then number of integral values of k for which both a and b lie between the roots of quadratic equation x2−10k=kx is
Answer» If $P (a, b)$ are the coordinates of a point on the line $x + y = 3$ such that $P$ lies below $x -$ axis and a distance of $3 \sqrt{2}$ units from the point $Q (1, 2)$ , then number of integral values of $k$ for which both $a$ and $b$ lie between the roots of quadratic equation $\frac{x^{2} - 10}{k} = k x$ is