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Find the condition for which the roots o...

Find the condition for which the roots of the equation `ax^2-(a+1)x+1=0` are always real.

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The correct Answer is:
The value of a should be real
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CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Very Short Answer type Question)
  1. Find the condition for which the roots of the equation ax^2-(a+1)x+1=0...

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  2. One root of the equation 3x^2-5x+c=0 is 2, find its other root.

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  3. The product of the roots of the equationn 3x^2+mx-(2m+3)=0 is 5, find ...

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  4. If one root of the equation 2x^2-5x+k=0 be twice the other, find the v...

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  5. Find the condition so that the roots of the equation lx^2+mx+n=0 are ...

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  6. Find the condition so that the roots of the equation lx^2+mx+n=0 are ...

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  7. If the ratio of the roots of the equation x^2-px+q=0 be 1:2, find the ...

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  8. If the roots of the equation qx^2+px+q=0 be imaginary, where p,qgt0, t...

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  9. Find the condition for which the quadratic equation ax^2+bx+c=0 has ex...

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  10. IF the equation 4x^2+2bx+c=0,b=0, find the relation between the roots...

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  11. IF alpha be a root of the equation ax^2+bx+c=0, show that kalpha (kne0...

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  12. Find the quadratic equation with real coefficients which has 2±3i as a...

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  13. Form a quadratic equation with rational coefficients whose one root is...

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  14. IF alpha and beta are the roots of the equation x(x-3)=4, find the val...

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  15. IF a,b,c are in G.P prove that the roots of the equation ax^2+2bx+c=0 ...

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  16. Find m, given that the difference of the roots of the equation 2x^2-12...

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  17. If alpha and beta be the roots of the equation (x-a)(x-b)=c (cne0),pro...

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  18. IF 2+sqrt3i is a root of the equation x^2+px+q=0 where p and q are rea...

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  19. Find the value of p so that the roots of the equation 3x^2-2(7+9p)x+(8...

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  20. IF x is real , find the signs of the each of the following expressions...

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