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IMPORTANT
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If the roots of ax2+bx+c=0 are in the ratio m:n, then

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Important Questions on Quadratic Equations and Inequalities

EASY
NDA & NA EE
IMPORTANT
If α and β are the roots of the equation ax2+bx+c=0, then the equation whose roots are 1α+β, 1α+1β is equal to
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NDA & NA EE
IMPORTANT
If the roots of the equation ax2+bx+c=0 are of the form k+1k and k+2k+1, then (a+b+c)2 is equal to
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NDA & NA EE
IMPORTANT
If the roots of the equation, x2+2ax+b=0 are real and distinct and they differ by at most 2m, then b lies in the interval
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NDA & NA EE
IMPORTANT
If a, b and cR and a+b+c=0, then the quadratic equation 4ax2+3bx+2c=0 has
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NDA & NA EE
IMPORTANT
If one of the roots of the equation ab-cx2+bc-ax+ca-b=0 is 1, then what is the second root?
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NDA & NA EE
IMPORTANT
The coefficient of x in the equation x2+px+q=0 was taken as 17 in place of 13 and its roots were found to be -2 and -15. The roots of the original equation are
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NDA & NA EE
IMPORTANT
Let α,β be the roots of the equation x2-3x+p=0 and let γ, δ be the roots of the equation x2-12x+q=0. If the numbers α,β,γ,δ (in order) form an increasing G.P., then