The number of integral values of k for which the line, 3x + 4y = k intersects the circle, x^{2} + y^{2} – 2x – 4y + 4 = 0 at two distinct points is ....

Numerical Value Type

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Ans. (09.00)

Sol. If line cuts circle then p < r

Centre of circle (1, 2), r = 1

$\left|{3+8-k\over5}\right|<1\implies k\in(6, 16)$

k = 7, 8, 9, 10, 11, 12, 13, 14, 15, ..........

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