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  • Try this! - Complex numbers and quadratic equations - JEE Main-3

Which of the following is quadratic expression for all a\, \epsilon \, R

  • Option 1)

    \left ( a^{2}-1 \right )x^{2}+ax+1

  • Option 2)

    \left ( a^{2}+1 \right )x^{2}+x+3

  • Option 3)

    \left ( a+2 \right )x^{2}+x-3

  • Option 4)

    \left ( 2a-1 \right )x^{2}-x+5a

 

Answers (1)

best_answer

In option (A), (C) amd (D) there are real 'a' for which coefficient of x2 becomes zero as well. But in option (B), coefficient of x2 will be never zero so (B) will reprocent quadratic equation for all a\; \epsilon \; r

 

Quadratic Expression -

f\left ( x \right )= ax^{2}+bx+c

- wherein

a\neq 0

a,b,c\in R,\: \:

 

 


Option 1)

\left ( a^{2}-1 \right )x^{2}+ax+1

This is incorrect

Option 2)

\left ( a^{2}+1 \right )x^{2}+x+3

This is correct

Option 3)

\left ( a+2 \right )x^{2}+x-3

This is incorrect

Option 4)

\left ( 2a-1 \right )x^{2}-x+5a

This is incorrect

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Plabita

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