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Maths Quadratic Equations General Comprehension
Published on: August 13, 2026

Let attains its least value at and the graph of cuts -axis at .
(i) The least value of is :

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The correct answer is:
CHECK THE SOLUTION.

(i) We are given:

Least value at

Cuts y-axis at

Step 1: Find

For a quadratic , the vertex occurs at:

Given vertex at :

So:

Step 2: Least value of

Minimum occurs at :

(ii) Step 3: Compute

(given)

(iii) Equation:

Discriminant:

Two distinct real roots require

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