Let the co-ordinates of one vertex of be and the other two vertices lie on the line . For , if the area of is and the line segment has length , then is equal to:

9 Explanation: Solution: Step 1: Use Area formula . Step 2: The height is the perpendicular distance from to the line. The line passes through with direction ratio . The vector . Step 3: Use the distance formula . Step 4: Equate magnitude squared: Divide by 4: . Factoring: . Since , . Final Answer:

How do I solve JEE 2023 Mathematics questions?

Practice JEE 2023 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

What is the difficulty level of JEE Mathematics questions?

JEE Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Are JEE previous year papers available for free?

Yes. Mathem Solvex provides free access to JEE previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let the co-ordinates of one vertex of $\Delta ABC$ be $A(0, 2, \alpha)$ and the other two vertices lie on the line $\frac{x+\alpha}{5} = \frac{y-1}{2} = \frac{z+4}{3}$ . For $\alpha \in Z$ , if the area of $\Delta ABC$ is $21 \text{ sq. units}$ and the line segment $BC$ has length $2\sqrt{21} \text{ units}$ , then $\alpha^2$ is equal to:

JEE 2023 — Mathematics PYQ

Choose the correct answer:

Explanation

Explanation

Explore More