Grade 11Analytical Geometry
the line Ax+By+C=0 will touch the circle x^2+y^2=lamda when????answer is given as C^2=lamda(A^2+B^2)
the line Ax+By+C=0 will touch the circle x^2+y^2=lamda when????
answer is given as C^2=lamda(A^2+B^2)
1 Answer
Pradeep Tangirala
Ax+By+C=0 touches the circle means...it is a tangent....Now, radius of circle is equal to (lamda)*1/2...and its centre is (0,0)...now distance from centre to line is equal to |C|÷(A*2+B*2)*1/2.....which is equal to radius, (lamda)*1/2...so....|C|÷(A*2+B*2)*1/2 =(lamda)*1/2...now
Squaring on both sides...you will get the ans....
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