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Question: Circle having point (–1, 1) as its centre touches straight line x + 2y + 9 = 0 then co-ordinate of ...

Circle having point (–1, 1) as its centre touches straight line

x + 2y + 9 = 0 then co-ordinate of point of contact are :

A

(–7, –1)

B

(–3, –3)

C

(–3, 3)

D

(0, 0)

Answer

(–3, –3)

Explanation

Solution

Foot of perpendicular P(h, k)

h+11\frac{h + 1}{1} = k12\frac{k–1}{2} = – (1+2+9)1+4\frac{(–1 + 2 + 9)}{1 + 4}

Ž h = – 3, k = – 3