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1.if tanx + tan(x+π/3) +tan(x+2π/3)=3 prove , 3tanx - tan3x/1 - 3tan2x =1 2.if α,β are two different values of θ when α≠β,where 0< α,β <2π which satisfy the equation 6cosθ + 8sinθ =9 find the value of sin( ...
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What is the condition that the equation ax2+bx+c has a root in [0, 1]? In class, we integrated the given expression and arrived at the condition a/3 + b/2 +c=0. However, if we take the equation (x-2)(x-0.5)=0 ie x2- 5/2 x+1=0 ...
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What is the condition that the equation ax2+bx+c has a root in [0, 1]? In class, we integrated the given expression and arrived at the condition a/3 + b/2 +c=0. However, if we take the equation (x-2)(x-0.5)=0 ie x2- 5/2 x+1=0 ...
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Let f:R-->R be a continuous function such that f(x)-2f( x/2 )+f( x/4 ) = x2. f(3) is equal to (A) f(0) (B) 4+f(0) (C) 9+f(0) (D) 16+f(0). The equation f(x)-x-f(0) = 0 has exactly (A) No solution (B) One solution (C) Two so ...
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If α and β be the roots of equation ax2+bx+c=0,a≠0 and (α+β)(α2+β2)(α3+β3)are in GP,Δ be the discriminant,then a) Δ≠0 b) bΔ≠0 c) cΔ=0 d) bc≠0 ...
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\hspace{-16}$Total Real solution of the equations in Diff. cases\\\\\\ (i) $\bf{2^x = 1+x^2}$\\\\\\ (ii) $\bf{e^x = x^2}$ ...
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\hspace{-16}$Total Real solution of the equations in Diff. cases\\\\\\ (i) $\bf{2^x = 1+x^2}$\\\\\\ (ii) $\bf{e^x = x^2}$ ...
