MHT CET · Maths · Area Under Curves

The shaded part of given figure indicates the feasible region

Then the constrants are

A $x, y \geq 0, x + y \geq 0, x \geq 5, y \leq 3$
B $x, y \geq 0, x - y \geq 0, x \leq 5, y \leq 3$
C $x, y \geq 0, x - y \geq 0, x \leq 5, y \geq 3$
D $x, y \geq 0, x - y \leq 0, x \leq 5, y \leq 3$

Verified Solution

Answer & Solution

Correct Answer

(B) $x, y \geq 0, x - y \geq 0, x \leq 5, y \leq 3$

Step-by-step Solution

Detailed explanation

Now, as the graph is in first quadrant. So, $x \geq 0, y \geq 0$,
The region lies to the left of the line $\mathrm{x}=5$, So $\mathrm{x} \leq 5$
It lies below the line $y=3$, So $y \leq 3$
Also, the region lies to the right of the line $x=y$. So, $x \geq y$ or $x-y \geq 0$
answer (b)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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The shaded part of given figure indicates the feasible regionThen the constrants are

Step-by-step Solution

The shaded part of given figure indicates the feasible region

Then the constrants are