Three Dimensional Geometry

JEE Main · Mathematics · 17 past questions

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10 of 17 · show all

1. Q2 2026 2 Apr Shift 1

   Let a line $L$ passing through the point $(1, 1, 1)$ be perpendicular to both the vectors…

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2. Q3 2026 2 Apr Shift 2

   Let the point A be the foot of perpendicular drawn from the point $P(a, b, 0)$ on the line…

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3. Q5 2026 4 Apr Shift 1

   The square of the distance of the point $(-2, -8, 6)$ from the line…

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4. Q7 2026 4 Apr Shift 2

   If $\left(2\alpha+1,\alpha^2-3\alpha,\frac{\alpha-1}{2}\right)$ is the image of $(\alpha,2\alpha,1)$ in the…

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5. Q8 2026 5 Apr Shift 1

   The square of the distance of the point $P(5, 6, 7)$ from the line…

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6. Q10 2026 5 Apr Shift 2

   Let a triangle PQR be such that P and Q lie on the line $\frac{x+3}{8} = \frac{y-4}{2} = \frac{z+1}{2}$ and…

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7. Q11 2026 5 Apr Shift 2

   If the distance of the point (a, 2, 5) from the image of the point (1, 2, 7) in the line…

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8. Q12 2026 6 Apr Shift 1

   Let the image of the point $P(1,6,a)$ in the line $L:\frac{x}{1}=\frac{y-1}{2}=\frac{z-a+1}{b}, b>0,$ be…

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9. Q15 2026 6 Apr Shift 2

   Let the image of the point $P(0,-5,0)$ in the line $\dfrac{x-1}{2}=\dfrac{y}{1}=\dfrac{z+1}{-2}$ be the point…

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10. Q16 2026 8 Apr Shift 2

    Let the foot of perpendicular from the point (λ, 2, 3) on the line (x-4)/1 = (y-9)/2 = (z-5)/1 be the point…

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