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Class 12 Three Dimensional Geometry | All Concepts & Formulas | Complete Revision Notes Ganit Brains

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Class 12 3D Geometry: The 5-Mark MUST-KNOW Question | 3D Geometry Challenge - 1

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YouTube1Math2Bytes

Finding Point On Line | Three Dimensional Geometry | Class 12 Boards 2025 PYQ | CBSE 2026 JEE CUET

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Equation of Line | 3 Dimensional Geometry | Class 12 Maths | Lectire 1 | Sunder Sir

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180 views7 months ago

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NCERT Class12 Maths | Direction ratios से Direction cosines निकालना | 3D geometry

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YouTubeMathSpace

Equation of Line | 3 Dimensional Geometry | Class 12 Maths | Lectire 1 | Sunder Sir

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145 views7 months ago

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Q) If the direction cosines of a line are 𝜆,𝜆,𝜆, then 𝜆 is #threedimensionalgeometry

Q) If the direction cosines of a line are 𝜆,𝜆,𝜆, then 𝜆 is #threedimensionalgeometry

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YouTubeShivang Maths Academy

Q) Find the coordinates of the foot of the perpendicular and the length of the perpendicular drawn

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Q) Find the coordinates of the foot of the perpendicular and the length of the perpendicular drawn

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Foot of Perpendicular in 3D | Shortest Distance from Point to Line | Class 12 Maths Part 12th

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YouTubeToppers' Choice

Q) Find the equation of a line in vector and cartesian form which passes through the point ( 1,2,−4

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YouTubeShivang Maths Academy

Q) Find the equation of a line in vector and cartesian form which passes through the point ( 1,2,−4

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YouTubeShivang Maths Academy

Q) The coordinates of the foot of the perpendicular drawn from the point A(−2,3,5) on the y -axis

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Q) Find the equation of a line in vector and cartesian form which passes through the point ( 1,2,−4

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Q) If a line makes angles of 3𝜋/4,𝜋/3 and 𝜃 with the positive directions of 𝑥,𝑦 and z -axis

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YouTubeShivang Maths Academy

Q) If a line makes angles of 3𝜋/4,𝜋/3 and 𝜃 with the positive directions of 𝑥,𝑦 and z -axis

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YouTubeShivang Maths Academy

Q) The equation of a line parallel to the vector 3𝑖+𝑗 +2𝑘 and passing through the point (4,−3,7)

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YouTubeShivang Maths Academy

Q) Find the foot of the perpendiculardrawn from the point (1,1,4) of the line (x+2)/5 = (y+1)/2

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Q) Find the shortest distance between the lines:(𝑥+1)/2=(𝑦−1)/1=(𝑧−9)/(−3) " and (𝑥−3)/2=(𝑦+15)/(−7

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YouTubeShivang Maths Academy

Q) Find the point on the line (𝑥−1)/3=(𝑦+1)/2=(𝑧−4)/3 at a distance of 2√2 units from the point

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YouTubeShivang Maths Academy

Q) Find the distance of the point (−1,−5,−10) from the point of intersection of the lines (x−1)/2=

7.4K views7 months ago

YouTubeShivang Maths Academy

Q) Find the point on the line (𝑥−1)/3=(𝑦+1)/2=(𝑧−4)/3 at a distance of 2√2 units from the point

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YouTubeShivang Maths Academy

Q) Find the shortest distance between the lines:(𝑥+1)/2=(𝑦−1)/1=(𝑧−9)/(−3) " and (𝑥−3)/2=(𝑦+15)

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YouTubeShivang Maths Academy

Q) Find a point P on the line (𝑥+5)/1=(y+3)/4=(z−6)/(−9) such that its distance from point

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YouTubeShivang Maths Academy

Q) Find the foot of the perpendiculardrawn from the point (1,1,4) of the line (x+2)/5 = (y+1)/2

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Q) Find the shortest distance between the lines given by(𝑟 =(4𝑖 −𝑗 +2𝑘 )+𝜆(𝑖 +2𝑗 −3𝑘 )

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YouTubeShivang Maths Academy

Q) Find the image A^′ of the point A(2,1,2) in the line 𝑙:r =4i +2j +2k +𝜆(i −j −k ). Also, find

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YouTubeShivang Maths Academy

Q) Find the value of 𝜆 if the following lines are perpendicular to each other :𝑙_1:(1−x)/(−3)=

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YouTubeShivang Maths Academy

Q) Determine if the line 𝑟 =(𝑖 +𝑗 −𝑘 )+𝜆(3𝑖 −𝑗 ) and 𝑟 =(4𝑖 −𝑘 )+𝜇(2𝑖 ˆ+3𝑘 ˆ) interse

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YouTubeShivang Maths Academy

Q) Determine if the line 𝑟 =(𝑖 +𝑗 −𝑘 )+𝜆(3𝑖 −𝑗 ) and 𝑟 =(4𝑖 −𝑘 )+𝜇(2𝑖 ˆ+3𝑘 ˆ) interse

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YouTubeShivang Maths Academy

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