Two motorcycle running at the speed more than the allowed speed on roads represented by the line and respectively. Find the point at which motorcycle will collide.

Explanation: Solving Steps: 1. Lines ko Compare karna: Collision point par dono lines ki position same hogi, isliye: 2. Component-wise Equations banana: For : --- (1) For : --- (2) For : --- (3) 3. aur ki value nikaalna: Equation (3) se humein milta hai . Ise Equation (2) mein rakhte hain: 4. Collision Point (Vector ) nikaalna: Ab ki value pehli line ki equation mein rakhte hain:

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MAH-CET 2025 — Mathematics PYQ

MAH-CET | Mathematics | 2025

Two motorcycle running at the speed more than the allowed speed on roads represented by the line $r =$ $λ (\hat{i} + \hat{2} j - \hat{k})$ and $r = (3 ι + 3 j) + μ (2 ι + \hat{j} + \hat{k})$ respectively. Find the point at which motorcycle will collide.

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