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Find all values of the parameter a for w...

Find all values of the parameter a for which the quadratic equation
`(a+1)x^(2)+2(a+1)x+a-2=0`
(i) has two distinct roots.
(ii) has no roots.
(iii) has to equal roots.

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The correct Answer is:
a=-1
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MOTION-QUADRATIC EQUATION-EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)
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  12. If a in R and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] denot...

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  13. Let alpha and beta be the roots of equation x^2-6x-2""=""0 . If an=...

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  14. alpha,beta be the roots of the equation x^2-px+r=0 and alpha/2 , 2beta...

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  15. Let f(x)=(x^(2)-6x+5)/(x^(2)-5x+6) Match the expressions/ statements i...

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  16. Let a,b,c,p,q be the real numbers. Suppose alpha,beta are the roots of...

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  17. The smallest value of k, for which both the roots of the equation, x^2...

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  18. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

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  19. Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if an=al...

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  20. A value of b for which the equation x^2+b x-1=0,x^2+x+b=0 have one roo...

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  21. Let a in R and let f: R to R be given by f(x) =x^(5) -5x+a. then

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