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Q.

If the line 3x+4y−λ=0  cuts the circle x2+y2−2x+4y+1=0  in two points then limits of λ are

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a

[−15,5]

b

(15,5)

c

(15,−5)

d

(−15,5)

answer is D.

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Detailed Solution

C= (1, -2) . r = 2 r > d ⇒  2 > |3−8−λ|9+16 ⇒−15<λ<5
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