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  • Question 1
    1 / -0

    If p,q,r are real and p≠q, then roots of the equation (p−q)x2+5(p+q)x−2(p−q)=0 are:

  • Question 2
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    The roots of a2x2+abx=b2,a≠0,b≠0 are:

  • Question 3
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    Each of the following quadratic equations represents the graph shown. Which equation reveals the exact values of the x−intercepts of the graph?

  • Question 4
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    All the values of m for which both the roots of the equation x2−2mx+m2−1=0 are greater than −2 but less than 4 lie in the interval :

  • Question 5
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    The graph of y=4x2+3x+7 :

  • Question 6
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    If \(\alpha, \beta\) are the roots of \(x^{2}+p x+q=0\) and \(\gamma, \delta\) are the roots of \(x^{2}+p x+r=0\), then \(\frac{(\alpha-\gamma)(\alpha-\delta)}{(\beta-\gamma)(\beta-\delta)}=\)?

  • Question 7
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    If \(\alpha, \beta, \gamma\) are the roots of \(x^{3}+p x^{2}+q x+r=0,\) then \(\sum \frac{\beta^{2}+\gamma^{2}}{\beta \gamma}=?\)

  • Question 8
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    The set of possible values of \(\lambda\) for which \(x^{2}-\left(\lambda^{2}-5 \lambda+5\right) x+\left(2 \lambda^{2}-3 \lambda-4\right)=0\) has roots whose sum and product are both less then 1 is:

  • Question 9
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    If α,β,γ are the roots of the equation x3+px2+qx+r=0, then α2+β2+γ2=?

  • Question 10
    1 / -0

    Let α,β be roots of the equation ax2+bx+c=0 and Δ=b2−4ac. If α+β,α2+β2,α3+β3 are in GP, then :

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