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The quadratic equation ax^(2)+bx+c=0 has...

The quadratic equation `ax^(2)+bx+c=0` has real roots if:

A

`a=c`

B

`|b|le|c|`

C

`|b|le|a|`

D

all of these

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
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  4. The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...

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  5. p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0...

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  6. The set of values of p for which the expression x^(2) −2px+3p+4...

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  7. For a<0, deterine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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  8. The average of five consecutive even numbers is 40. What is the smalle...

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  9. Solve : (5+2sqrt6)^(x^(2)-3) +(5-2sqrt6)^(x^(2)-3) = 10

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  10. If a, b in {1, 2, 3, 4}, then the number of quadratic equations of the...

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  11. The minimum value of the expression a+(1)/(a), a gt0 is :

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  12. If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval

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  13. The number of integral value(s) of x satisfying the equation ∣ ∣ ∣ ​...

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  14. Number of value sof x satisfying the equation (15+4sqrt(14))^(t)+(15-4...

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  15. The inequality |2x-3|lt1 is valid when x lies in the interval :

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  16. Let a, be the roots of the equation x^2+x+1=0. The equation whose root...

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  17. The value of p for which the difference between the roots of the equat...

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  18. If x gt 0 and xy =1, the minimum value of (x + y) is

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  19. If x=7+4sqrt(3)\ \ a n d\ x y=1 , then 1/(x^2)+1/(y^2)= 64 (b) 134...

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  20. If x in R " and "alpha=(x^(2))/(1+x^(4)), then alpha lies in the inter...

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