Question

Let slope of required line is m

y _ 3 = m(x _ 2)

Þ mx _ y +(3 _ 2m) = 0

length of ^ from origin

= 3

Þ 9 + 4m² _ 12m = 9 + 9m²

Þ 5m² + 12m = 0 Þ m = 0, _

Hence lines are y _ 3 = 0 Þ y = 3

y _ 3 = _(x _ 2) Þ 5y _ 15 = _12x + 24

Þ 12x + 5y = 39.

	Create a free account to view solution View Solution Free Topic: Circle·Practice all Circle questions More Circle Questions The centre(s) of the circle (s) passing through the points (0, 0), (1, 0) and touching the circle x2 + y2 = 9 is/are-...x - 2y + 4 = 0 is a common tangent to y2 = 4x & = 1. Then the value of b and the other common tangent are given by -...Locus of the centre of circles which pass through (0, 1) & touches the line y = x is -...Circle x2 + y2 − 4x − 8y − 5 = 0 will intersect the line 3x − 4y = m in two distinct points, if ...The locus of a point P(α, β) moving under the condition that the line y = αx + β a tangent to the hy...