Question

Match the following graphs to their nature of roots:

i) Real and distinct roots
ii) Non-real roots
iii) Real and equal roots

• A. $A\to iv,B\to iii,C\to iii$
• B. $A\to i,C\to iii,B\to ii$
• C. $A\to i,B\to iii,C\to ii$
• D. $A\to i,iii,C\to ii,B\to iv$

Answer 1

The correct option is C

$A\to i,B\to iii,C\to ii$

When a quadratic equation has real and distinct roots, its graph cuts the X-axis at two points. So the graph A has real and distinct roots.
When a quadratic equation has real and equal roots, its graph touches the X-axis at one point only.
And when the quadratic equation has no real roots, the graph lies completely above X-axis. The graph C has no real roots.