Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/5 intersect. Also find....Q122 скачать в хорошем качестве

Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/5 intersect. Also find....Q122

Class XII 3 – Dimensional Geometry Q122: Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/5 intersect. Also find their point of intersection. Previous Videos related to this chapter are mentioned in the below link: CONCEPT: ANGLE BETWEEN TWO LINES:    • CONCEPT: ANGLE BETWEEN TWO LINES   Q56: Find the angle between the lines r ⃗=3i ̂+2j ̂-4k ̂+λ(i ̂+2j ̂+2k ̂) and r ⃗=(5i ̂-2j ̂ )+μ(3i ̂+2j ̂+6k ̂).:    • Find the angle between the lines 𝒓 ⃗=𝟑𝒊 ̂+...   Q60 Find the angle between the following pair of lines: x/2=y/2=z/1 & (x-5)/4=(y-2)/1=(z-3)/8:    • Find the angle between the following pair ...   Q62: Find the angle between following pairs of lines. (-x+2)/(-2)=(y-1)/7=(z+3)/(-3) and (x+2)/(-1)=(2y-8)/4=(z-5)/4 and check whether the lines are parallel or perpendicular:    • Find the angle between following pairs of ...   Q65: Find the value of p, so that the lines l_1:(1-x)/3=(7y-14)/p=(z-3)/2 and l_2:(7-7x)/3p=(y-5)/1=(6-z)/5 are perpendicular to each other. Also find the equation of a line passing through a point (3,2,–4) and parallel to line l_1:    • Find the value of p, so that the lines l_1...   Q97: Find the vector and Cartesian equations of the line passing through the point (2,1,3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3 and x/(-3)=y/2=z/5.:    • Find the vector and Cartesian equations of...   Q102: Show that the line (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z intersect. Find their point of intersection.:    • Show that the line (x-1)/2=(y-2)/3=(z-3)/4...   Q114: Show that the lines (x-1)/3=(y+1)/2=(z-1)/5 and (x+2)/4=(y-1)/3=(z+1)/(-2) do not intersect:    • Show that the lines (x-1)/3=(y+1)/2=(z-1)/...   Q105: Find the equations of the two lines through the origin which intersect the line (x-3)/2=(y-3)/1=z/1 at angle of π/3 each.:    • Find the equations of the two lines throug...   Q117: Find the coordinates of foot of perpendicular drawn from the point (0,2,3) on the line (x+3)/5=(y-1)/2=(z+4)/3. Also, find the length of perpendicular.:    • Find the coordinates of foot of perpendicu...   Q120: Find the image of the point (1,6,3) on the line x/1=(y-1)/2=(z-2)/3. Also, write the equation of the line joining the given point and its image and find the length of segment joining given point and its image.:    • Find the image of the point (1,6,3) on the...   CONCEPT: SHORTEST DISTANCE BETWEEN LINES:    • CONCEPT: SHORTEST DISTANCE BETWEEN LINES   Q95: Write the vector equations of following lines and hence find the distance between them. (x-1)/2=(y-2)/3=(z+4)/6,(x-3)/4=(y-3)/6=(z+5)/12.:    • Write the vector equations of following li...   Q99: Find the Cartesian equations of the line passing through the point (–1,3,–2) and perpendicular to the lines x/1=y/2=z/3 and (x+2)/(-3)=(y-1)/2=(z+1)/5:    • Find the Cartesian equations of the line p...   Q84: Find the distance between the lines l¬1 & l2 given by: l_1=i ̂+2j ̂-4k ̂+λ(2i ̂+3j ̂+6k ̂ ), 〖 l〗_2=3i ̂+3j ̂-5k ̂+μ(4i ̂+6j ̂+12k ̂ ):    • Find the distance between the lines l¬1 & ...   Q89: Find the shortest distance between the lines: r ⃗=((t+1)i ̂+(2-t)j ̂-(1-t)k ̂ ),r ⃗=((2s+2) i ̂-(1-s) j ̂+(2s-1)k ̂ ):    • Find the shortest distance between the lin...   Q59: The points A (4, 5, 10), B(2, 3, 4) and C(1, 2, –1) are three vertices of a parallelogram ABCD. Find vector and Cartesian equations for the sides AB and BC and find the coordinates of D.    • The points A (4, 5, 10), B(2, 3, 4) and C(...   Q63: If the points with position vectors 10i ̂+3j ̂,12i ̂-5j ̂ and λi ̂+11j ̂ are collinear, find the value of λ.    • If the points with position vectors 10i ̂+...   Q66: Find the angle between the lines r ⃗=(2i ̂-5j ̂+k ̂ )+λ(3i ̂+2j ̂+6k ̂) and r ⃗=(7i ̂--6j ̂-6k ̂ )+μ(i ̂+2j ̂+2k ̂ )    • Find the angle between the lines r ⃗=(2i ̂...   Q70: Find the acute angle between the lines ((x-4))/3 =(y+3)/4=(z+1)/5&(x-1)/4=(y+1)/(-3)=(z+10)/5    • Find the acute angle between the lines ((x...   Q76: If the lines (x-1)/(-2)=(y-4)/3p=(z-3)/4 and (x-2)/4p=(y-5)/2=(z-1)/(-7) are perpendicular to each other, then find the value of p.    • If the lines (x-1)/(-2)=(y-4)/3p=(z-3)/4 a...   Q81: Check whether the lines given by equations x=2λ+2,y=7λ+1,z=-3λ-3 & x=-μ-2,y=2μ+8,z=4μ+5 are perpendicular to each other or not    • Check whether the lines given by equations...   Q85: Prove that the lines x=ay+b,z=cy+d and x=a^' y+b^',z=c^' y+d' are perpendicular if aa^'+cc^'+1=00.    • Prove that the lines x=ay+b,z=cy+d and x=a...   Q86 Find the shortest distance between the lines whose vector equations are r ⃗=(i ̂+j ̂ )+λ(2i ̂-j ̂+k ̂ ) and r ⃗=(2i ̂+j ̂-k ̂ )+μ(3i ̂-5j ̂+2k ̂ ).    • Find the shortest distance between the lin...   Q87: Find the shortest distance between lines whose vector equations are r ⃗=(1-t) i ̂+(t-2) j ̂+(3-2t) k ̂,r ⃗=(s+1) i ̂+(2s-1) j ̂-(2s+1) k ̂    • Find the shortest distance between lines w...   Q115: Find the vector and Cartesian equations of the line passing through the point (1,2,–4) and perpendicular to the two lines (x-8)/3=(y+19)/(-16)=(z-10)/7 and (x-15)/3=(y-29)/8=(z-5)/(-5)    • Видео   #CBSE #ICSE #Boards #8th #9th #10th #Foundation #Competition #IIT #JEE #Advanced #Mains #NTSE #Olympiads #Exams #Examination #Achiever #Topper #Zenith #ZenithInstituteOfMathematics #InderSir #Ludhiana #ModelGram #BestMathsCoaching #BestTutorials #BestTuition #BestInLudhiana #MathTricks #VIII #IX #X #XI #XII #Important #Excellent #Question #3DimensionalGeomtery #ShortestDistanceBetween2Lines #CartesianFormofaLine #VectorFormofaLine