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CBSE Class 12-science Answered

Q Solve the given questions:
Asked by joykphukan | 21 Dec, 2015, 05:52: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space p o i n t space P open parentheses 2 comma 3 comma 4 close parentheses L e t space M open parentheses x subscript 1 comma y subscript 1 comma z subscript 1 close parentheses space b e space a space p o i n t space o n space t h e space p l a n e space 3 x plus 2 y plus 2 z plus 5 equals 0 W e space n e e d space t o space f i n d space t h e space d i s tan c e comma space P M S i n c e space t h e space p o i n t space M open parentheses x subscript 1 comma y subscript 1 comma z subscript 1 close parentheses space l i e s space o n space t h e space g i v e n space p l a n e comma space w e space h a v e comma 3 x subscript 1 plus 2 y subscript 1 plus 2 z subscript 1 plus 5 equals 0 T h e space l i n e space j o i n i n g space t h e space p o i n t s space P space a n d space M space i s space p a r a l l e l space t o space t h e space l i n e space fraction numerator x plus 3 over denominator 3 end fraction equals fraction numerator y minus 2 over denominator 6 end fraction equals z over 2 space space space space open square brackets g i v e n close square brackets T h e r e f o r e comma space t h e space d i r e c t i o n space r a t i o s space o f space t h e space l i n e space P M space a r e space 3 comma space 6 space a n d space 2 T h u s space t h e space e q u a t i o n space o f space t h e space l i n e space P M space i s fraction numerator x minus 2 over denominator 3 end fraction equals fraction numerator y minus 3 over denominator 6 end fraction equals fraction numerator z minus 4 over denominator 2 end fraction equals k A n y space p o i n t space o n space t h e space l i n e space P M space i s space o f space t h e space f o r m comma x equals 3 k plus 2 comma space y equals 6 k plus 3 comma space z equals 2 k plus 4 S i n c e space M open parentheses x subscript 1 comma y subscript 1 comma z subscript 1 close parentheses space a space p o i n t space o n space t h e space p l a n e space 3 x plus 2 y plus 2 z plus 5 equals 0 comma space w e space h a v e comma 3 x subscript 1 plus 2 y subscript 1 plus 2 z subscript 1 plus 5 equals 0 rightwards double arrow 3 open parentheses 3 k plus 2 close parentheses plus 2 open parentheses 6 k plus 3 close parentheses plus 2 open parentheses 2 k plus 4 close parentheses plus 5 equals 0 rightwards double arrow 9 k plus 6 plus 12 k plus 6 plus 4 k plus 8 plus 5 equals 0 rightwards double arrow 25 k plus 25 equals 0 rightwards double arrow k equals negative 1 T h u s space t h e space c o o r d i n a t e s space o f space t h e space p o i n t space M open parentheses x subscript 1 comma y subscript 1 comma z subscript 1 close parentheses space o n space t h e space g i v e n space p l a n e space a r e colon M open parentheses 3 k plus 2 comma space 6 k plus 3 comma 2 k plus 4 close parentheses equals M open parentheses 3 open parentheses negative 1 close parentheses plus 2 comma space 6 open parentheses negative 1 close parentheses plus 3 comma 2 open parentheses negative 1 close parentheses plus 4 close parentheses equals M open parentheses negative 1 comma space minus 3 comma 2 close parentheses T h e r e f o r e comma P M equals square root of open parentheses 2 plus 1 close parentheses squared plus open parentheses 3 plus 3 close parentheses squared plus open parentheses 4 minus 2 close parentheses squared end root equals square root of 9 plus 36 plus 4 end root equals square root of 49 equals 7 space u n i t s  space
Answered by Vimala Ramamurthy | 22 Dec, 2015, 08:55: AM
CBSE 12-science - Maths
Asked by shubh31122006 | 01 Feb, 2024, 09:06: AM
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CBSE 12-science - Maths
Asked by sdmbotch1123 | 23 Sep, 2023, 06:51: PM
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CBSE 12-science - Maths
Asked by kishanradha7392 | 05 Jul, 2022, 04:26: PM
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CBSE 12-science - Maths
Asked by suman.sh01 | 07 Jun, 2022, 07:22: PM
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CBSE 12-science - Maths
Asked by arjunsah797 | 02 May, 2022, 09:30: AM
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CBSE 12-science - Maths
Asked by Madhureddymamilla | 06 Jan, 2020, 01:11: PM
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CBSE 12-science - Maths
Asked by jain.pradeep | 03 Dec, 2019, 06:18: PM
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CBSE 12-science - Maths
Asked by harshgarg18012003 | 26 Jun, 2019, 09:11: PM
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