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If `alpha` is the only positive root of `(2^(2014)-1)x^2+(2-2^(2014))x-1=0` . Then the value of `(alpha^(2014)-1)p^2+(1-alpha^(2015))p q+1` is equal to (a) 1 (b) 0 (c) pq (d) `p^2+p q+1`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  14. The number of values of a for which equations x^3+a x+1=0 and x^4+a x^...

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  15. If Sn=1^2+(1^2+2^2)+(1^2+2^2+3^2)+ upto n terms, then Sn=(n(n+1)^2(n+2...

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  18. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

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  19. lf a^2x^2 + bx + c =0 has roots alpha and beta(alpha lt beta) and -p^...

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