VITEEE PYQs for Equation of a Line in Space with Solutions: Practice VITEEE Previous Year Questions

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Shivam Yadav

Updated on - Dec 10, 2025

Equation of a Line in Space is an important topic in the Mathematics section in VITEEE exam. Practising this topic will increase your score overall and make your conceptual grip on VITEEE exam stronger.

This article gives you a full set of VITEEE PYQs for Equation of a Line in Space with explanations for effective preparation. Practice of VITEEE Mathematics PYQs including Equation of a Line in Space questions regularly will improve accuracy, speed, and confidence in the VITEEE 2026 exam.

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VITEEE PYQs for Equation of a Line in Space with Solutions

VITEEE PYQs for Equation of a Line in Space with Solutions

  • 1.
    The focus of the curve $y^2 + 4x - 6y + 13 = 0$ is

      • (2, 3)
      • (-2, 3)
      • (2, -3)
      • (-2, -3)

    • 2.
      An equation of the plane passing through the line of intersection of the planes x + y + z = 6 and 2x + 3y + 4z + 5 = 0 and passing through (1, 1, 1) is

        • 2x + 3y + 4z = 9
        • x + y + z = 3
        • x + 2y + 3z = 6
        • 20x + 23y + 26z = 69

      • 3.
        The length of the shortest distance between the lines $\vec{r}=3\hat{i}+5\hat{j}+7\hat{k}+\lambda(\hat{i}-2\hat{j}+\hat{k})$ and $\vec{r} = -\hat{i}-\hat{j}-\hat{k}+\mu (7\hat{i}-6\hat{j}+\hat{k})$ is

          • 83 units
          • $\sqrt{6}$ units
          • $\sqrt{3}$ units
          • $2\sqrt{29}$ units

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