Question

Assertion :If $a>0$, the value of the expression $b^2-4ac$ will be greater than zero. Reason: The expression $b^2-4ac$ represents the discriminant of a quadratic function. If $a>0$ the graph will be an upward parabola and it will cut the x-axis at two distinct points indicating real and distinct roots. For real and distinct roots, the value of the discriminant is greater than zero.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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

We know if $a>0$, the curve is an upward parabola and $b^2-4ac$is discriminant of the function & if it is greater than zero then two real rootsare there and they are found when $y=0$ & lie on$X$-axis so curve cuts $X$-axis are two points because of distinct roots. Assertion is better explianed by reason.