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If `x=1` is a common root of the equations `a x^2+a x+3=0` and `x^2+x+b=0` , then `a b=`

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RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. 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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  2. If the equation x^2-b x+1=0 does not possess real roots, then rang...

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

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  5. If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of the ...

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

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  7. If the equation (a^2+b^2)x^2-2(a c+b d)x+c^2+d^2=0 has equal roots, th...

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  8. If the sum of the roots of the equation x^2-x=lambda(2x-1) is zero, ...

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  9. If x=1 is a common root of a x^2+a x+2=0 and x^2+x+b=0 then, a b= ...

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  10. The value of c for which the equation a x^2+2b x+c=0 has equal r...

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  11. If x^2+k(4x+k-1)+2=0 has equal roots, then k= (a) -2/3,\ 1 (b) 2/...

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  12. If the sum and product of the roots of the equation k x^2+6x+4k=0 ar...

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  13. If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=0...

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  14. If 2 is a root of the equation x^2+a x+12=0 and the quadratic equa...

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  15. If the sum of the roots of the equation x^2-(k+6)x+2(2k-1)=0 is equ...

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  16. If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) ...

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  17. A quadratic equation whose one root is 2 and the sum of whose roots ...

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  18. If one root of the equation a x^2+b x+c=0 is three times the other...

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  19. If one root of the equation 2x^2+k x-6=0 is 2, then the other root...

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  20. If one root of the equation x^2+a x+3=0 is 1, then the other root ...

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