Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • What is the value of ‘a’ for which  <img alt="\left ( a^2-4 \right )x^2 + \left ( 2a + 3 \right )x + 5" src="http://entrancecorner.oncodecogs.com/gif.latex?%5Cl

What is the value of ‘a’ for which  \left ( a^2-4 \right )x^2 + \left ( 2a + 3 \right )x + 5   represents a quadratic equation with real coefficients?

Option: 1

a \in R


Option: 2

a < 2


Option: 3

R - {2, -2}


Option: 4

a > 2


Answers (1)

best_answer

Quadratic equation: 

A polynomial equation in which the highest degree of a variable term is 2 is called quadratic equation.

Standard form of quadratic equation is ax2 + bx + c = 0

Where a, b and c are constant and called the coefficient of the equation a_0\neq0 .

 

Now,

For the given equation to be quadratic, coefficient of 2nd degree must not be 0 and coefficient should not be imaginary for an equation to have real coefficients, so

\\\mathrm{a^2-4 \neq 0 } \\\mathrm{a \neq \pm 2}

As 'a' should be a real number, so a \in R - {2, -2}

correct option is (c)

Posted by

Deependra Verma

View full answer

Similar Questions