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If `a` and `b` can take values `1,\ 2,\ 3,\ 4` . Then the number of the equations of the form `a x^2+b x+1=0` having real roots is (a) 10 (b) 7 (c) 6 (d) 12

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RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=...

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

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

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

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

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

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

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

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

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

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

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

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  14. If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) 1...

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

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

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

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

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  19. If 1 is a common root of the equations ay^2+ay+3=0 and y^2+y+b=0,then ...

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  20. The values of k for which the quadratic equation 16 x^2+4k x+9=0...

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