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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

Let A ( , 0), B ( , 0), C ( , 0), D ( , 0) and , are the roots of equation a x^2+2 hx + b =0 while , are the those of a₁ x^2+2 h₁ x+b₁=0 if C and D divides A B in the ratio : 1 and : 1 respectively also a b₁ , h h₁, a₁ b are in A.P., then + is equal to

Correct answer

0

Step-by-step solution

aligned & + =- 2 h a & = b a & + =- 2 h₁ a₁ & = b₁ a₁ & given = + +1 = - - & similarly = - - & Now + = ( - )( - )+( - )( - ) ( - )( - ) & = 2 a a₁ (2 h₁-a₁ b-a b₁ ) & ( - )( - ) aligned =0 .

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