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  • If alpha is a repeated root of the quadratic equation (a - D) x2 + ax + (a + D) = 0 then d^2/a^2 has the value equal to (A) sin^2 90°(B) cos^2 60°(C) sin^2 45°(D) cos^2 30°?

If alpha is a repeated root of the quadratic equation (a - D) x2 + ax + (a + D) = 0 then d^2/a^2 has the value equal to (A) sin^2 90°(B) cos^2 60°(C) sin^2 45°(D) cos^2 30°?

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(a-D)x^2+ax+(a+D)=0\*If ;above;equation;has;repeated;roots;then;D;of;the;equation;is;equal;to;0\* Rightarrow D=b^2-4ac=0\* D=a^2-4 (a-D)(a+D)=0\* D=-a^2-4a^2+4D^2=0Rightarrow 4D^2=3a^2\* Rightarrow fracD^2a^2=frac34\* Now,; we;know;that;cos 30^circ=fracsqrt32.\* So, ; cos^2 30^circ=frac34\* Hence,;answer;is;option;D; (cos^2 30^circ)

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Deependra Verma

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