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Find the condition if the roots of a x^2...

Find the condition if the roots of `a x^2+2b x+c=0 a n d
b x^2-2sqrt(a c )x+b=0` are simultaneously real.

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RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
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  3. Find the condition if the roots of a x^2+2b x+c=0 a n d b x^2-2sqrt...

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  4. Write the set of values of k for which the quadratic equation ha...

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  6. Show that x=-3 is solution of x^2+6x+9=0

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  7. Show that x=-2 is a solution of 3x^2+13 x+14=0

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  8. Find the discriminant of the quadratic equation 3sqrt3x^2+10x+sqrt3=0.

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  13. If 2 is a root of the equation x^2+b x+12=0 and the equation x^2+b...

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  14. If the roots of the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are e...

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  15. If the equation x^2-b x+1=0 does not possess real roots, then rang...

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  16. If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0...

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  17. If p and q are the roots of the equation x^2-p x+q=0 , then (a)p=1...

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  19. Write the number of quadratic equation with real roots, which do no...

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