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10-1.Circle and System of Circles
medium
यदि रेखा $lx + my + n = 0$ वृत्त ${(x - h)^2} + {(y - k)^2} = {a^2}$ की स्पर्श रेखा हो, तो
A
$hl + km + n = {a^2}({l^2} + {m^2})$
B
${(hl + km + n)^2} = a({l^2} + {m^2})$
C
${(hl + km + n)^2} = {a^2}({l^2} + {m^2})$
D
इनमें से कोई नहीं
Solution
(c) प्रश्नानुसार,$a = \frac{{hl + mk + n}}{{\sqrt {{l^2} + {m^2}} }}$
$ \Rightarrow {(hl + km + n)^2}$
$= {a^2}({l^2} + {m^2})$.
Standard 11
Mathematics
