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if the roots of 1/x-p+1/x-q=1/r are equal in magnitude but opposite in sign, then find the product of roots in p and q only |
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Answer» Step-by-step EXPLANATION: share Share Answer Correct OPTION is C −( 2 p 2 +q 2
)= PRODUCT of roots x+p 1 + x+q 1 = r 1
⇒(x+q+x+p)r=(x+p)(x+q) ⇒2xr+(p+q)r=x 2 +(p+q)x+pq ⇒x 2 +(p+q−2r)x+pq−pr−qr=0 As roots are equal in MAGNITUDE and opposite the sign Then sum of roots =0 ⇒p+q=2r Hence, product of roots pq−pr−qr=pq− 2 (p+q) 2
=− 2 p 2 +q 2 PLEASE MARK ME AS BRAINLIST |
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