(13) If the quadratic equation (1+ ...
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(13) If the quadratic equation (1+ d )b? x² + 2abcx + (e? - m )= 0 in x has equal roots, prove that cz = m2 (1+ az ).

11th - 12th Class
Maths
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( 4 a^{2} b^{2} c^{2}-4left(c^{2}-m^{2}right)left(1+a^{2}right) b^{2} ) ( 4 a^{2} b^{2} c^{2}-4left(c^{2}+c^{2} a^{2}-m^{2}-m^{2} a^{2}right) b^{2} ) ( =0 ) ( 4 a^{2} b^{2} c^{2}-4 b^{7} c^{2}-4 b^{2} c^{2} a^{2}+4 b^{2} m^{2}+9 a^{2} ) ( 50 Rightarrow c^{2}+m^{2}+a^{2}+m^{2}=0 ) ( c^{2}=m^{2}left(1+a^{2}right) )
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