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The smallest value of k for which both r...

The smallest value of `k` for which both roots of the equation `x^(2)-8kx+16(k^(2)-k+1)=0` are real distinct and have value at least 4, is

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VMC MODULES ENGLISH-QUADRATIC EQUATIONS & INEQUATIONS -JEE Advance ( Archive )
  1. Let alpha, beta be the roots of the equationpx^(2)+qx+r=0, p!=0. If p,...

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  2. Let p and q real number such that p!= 0,p^3!=q and p^3!=-q. if alpha a...

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  3. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

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  4. If alpha and beta are the roots of the equation x^2+ax+b=0 and alpha^4...

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  5. The sum of all real values of x satisfying the equation (x^(2) -5x+5)...

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  6. Let a and b are the roots of the equation x^2-10 xc -11d =0 and those...

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  7. If alpha,beta are the roots of a x^2+b x+c=0,(a!=0) and alpha+delta,be...

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  8. If one root of the quadratic equation ax^(2) + bx + c = 0 is equal ...

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  9. If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...

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  10. If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...

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  11. If a in R and the equation =-3(x-[x])^(2)+2(x-[x])+a^(2)=0 (where [x...

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  12. If x^(2) + (a - b) x + (1 - a - b) = 0, where a , b in R , then find ...

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  13. Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbet...

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  14. The smallest value of k for which both roots of the equation x^(2)-8kx...

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  15. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

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  16. Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,...

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  17. Let (x(0), y(0)) be the solution of the following equations: (2x)^("...

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  18. If 3^(x)=4^(x-1), then x is equal to

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  19. The value of 6+ log(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sq...

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  20. The largest interval for whichx^(12)+x^9+x^4-x+1>0 -4<xlt=0 b. 0<x<1 ...

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