Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

Two lines given- L?: x+1/3 = y-3/-2 = z+2/-1 L?: x/-1=y-7/3=z+7/-2 Find the point of intersection of the lines L? and L?.
Asked by suman.sh01 | 07 Jun, 2022, 19:22: PM
answered-by-expert Expert Answer
L subscript 1 colon space fraction numerator x plus 1 over denominator 3 end fraction equals fraction numerator y minus 3 over denominator negative 2 end fraction equals fraction numerator z plus 2 over denominator negative 1 end fraction equals lambda rightwards double arrow x equals 3 lambda minus 1 comma space y equals negative 2 lambda plus 3 comma space z equals negative lambda minus 2 space space... space left parenthesis i right parenthesis L subscript 2 colon space fraction numerator x over denominator negative 1 end fraction equals fraction numerator y minus 7 over denominator 3 end fraction equals fraction numerator z plus 7 over denominator negative 2 end fraction equals mu rightwards double arrow x equals negative mu comma space y equals negative mu plus 7 comma space z equals negative 2 mu minus 7 space space... space left parenthesis i i right parenthesis F r o m space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t 3 lambda minus 1 equals negative mu space space space... space left parenthesis i i i right parenthesis minus 2 lambda plus 3 equals negative mu plus 7 space space space... space left parenthesis i v right parenthesis P u t t i n g space mu space f r o m space left parenthesis i i i right parenthesis space i n space left parenthesis i v right parenthesis rightwards double arrow negative 2 lambda plus 3 equals 3 lambda minus 1 plus 7 rightwards double arrow negative 5 lambda equals 3 rightwards double arrow lambda equals negative 3 over 5 space rightwards double arrow mu equals negative 3 open parentheses negative 3 over 5 close parentheses plus 1 equals 9 over 5 plus 1 equals 14 over 5
Answered by Renu Varma | 08 Jun, 2022, 11:31: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
question no 24
question image
Asked by shubh31122006 | 01 Feb, 2024, 09:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Two lines given- L?: x+1/3 = y-3/-2 = z+2/-1 L?: x/-1=y-7/3=z+7/-2 Find the point of intersection of the lines L? and L?.
Asked by suman.sh01 | 07 Jun, 2022, 19:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
The value of direction cosine of two straight lines can satisfy the two equation, 3l+m+5n=0 & 6mn-2nl+5lm=0 . Find the angle between those lines.  
Asked by rsjkumar2003 | 23 Sep, 2019, 13:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
prove that vectors -2i -2j+4k , -2i+4j -2k , 4i -2j -2k are coplanar ?
Asked by harshgarg18012003 | 26 Jun, 2019, 21:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the direction cosines of the line whose direction ratios are 4, – 3, 2 .
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the direction cosines of the vector .&
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the direction cosines of the line segment joining the points (2, 0, 1) and (–1, 3, –2).
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the angle inclined to Z-axis, where line is inclined to X-axis at 45o and to Y-axis at 60o.
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If a line in the XY-plane makes an angle 60o with X-axis. Find the direction cosines of this line. 
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If a line makes angles  with OX, OY and OZ respectively. Prove that .
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt