Prove that \(\frac{1}{1+p+q^{-1}}+\frac{1}{1+q+r^{-1}}+\frac{1}{1+r+p^{-1}}=1\), if \(pqr=1\)
Back to Archive Keyword Select Category All categories Algebraic expression and identityClass 6 – Basic Geometrical Ideas Cbse – Integration…
Read MoreIf sum of the zeroes = α+β = – 8 and product of zeroes = αβ = 6, then the polynomial whose zeroes are \(\frac{1}{α}\) and \(\frac{1}{β}\) is
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Read MoreIf α, β are the zeroes of the polynomial \(f(x)=ax^2+bx+c\), then \(\sqrt{\frac{α}{β}}+\sqrt{\frac{β}{α}}=?\)
Back to Archive Keyword Select Category All categories Algebraic expression and identityClass 6 – Basic Geometrical Ideas Cbse – Integration…
Read MoreIf(x-4) is a factor of a quadratic polynomial p(x) and 2 is zero of p(x), then find the polynomial p(x).
Back to Archive Keyword Select Category All categories Algebraic expression and identityClass 6 – Basic Geometrical Ideas Cbse – Integration…
Read MoreIf α, β are the zeroes of the polynomial \(f(x)=ax^2+bx+c\), then \(\frac{1}{α^2}+\frac{1}{β^2}=?\)
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Read MoreIf α and β are the zeroes of the polynomial \(x^2+5x+c\), and \( α-β=3\), then \(c=\)?     a) 0        b) 1         c) 4            d) 5
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Read MoreIf α and β are the zeroes of the polynomial \(x^2+5x+c\), and \( α-β=2\), then \(c=\)? a) 0 b) \(-\frac{21}{4}\) c) \(\frac{21}{4}\) d) 5
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Read MoreIf α and β are the zeroes of the polynomial \(2x^2+4x+5\), then find the value of \(α^3+β^3\).
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Read MoreIf \(a^x=b^y=c^z\) and \(b^2=ac\) then \(y\) equals? a) \(\frac{2xz}{(x+z)}\). b) \(\frac{xz}{2(x-z)}\). c) \(\frac{xz}{2(z-x)}\). d) \(\frac{2xz}{(x-z)}\)
Back to Archive Keyword Select Category All categories Algebraic expression and identityClass 6 – Basic Geometrical Ideas Cbse – Integration…
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