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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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Q) Find the coordinates of the foot of the perpendicular and the length of the perpendicular drawn
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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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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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Q) If Integration ∫_0^1 2x/(5x^2+1) dx is equal to PYQ 2025 MathsClass 12 #maths
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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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Q) Find the coordinates of the foot of the perpendicular and the length of the perpendicular drawn
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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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Q) Find the angle between the two lines whose equations are 2𝑥=3𝑦=−𝑧 and 6𝑥=−𝑦=−4𝑧.
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Q) Find the angle between the two lines whose equations are 2𝑥=3𝑦=−𝑧 and 6𝑥=−𝑦=−4𝑧.
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Q) Let the position vectors of the points A,B and C be 3i −j −2k , 𝑖 +2𝑗 −𝑘 and 𝑖 +5𝑗 +3𝑘
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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) 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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Q) Find the image A^′ of the point A(1,6,3) in the line 𝑥/1=(y−1)/2=(z−2)/3. Also, find the
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Q) Find the value of 𝜆 if the following lines are perpendicular to each other :𝑙_1:(1−x)/(−3)=
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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) Verify that lines given by 𝑟 =(1−𝜆)𝑖 +(𝜆−2)𝑗 +(3−2𝜆)𝑘and 𝑟 =(𝜇+1)𝑖 +(2𝜇−1) 𝑗 −(2𝜇+1
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Q) If 𝑑/𝑑𝑥 𝑓(𝑥)=3𝑥^2−3/𝑥^4 such that 𝑓(1)=0, then 𝑓(𝑥) iscbse PYQ 2025 MathsClass 12
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