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CBSE Class 12-science Answered

How can we find out foot of perpendicular and image of a point in plane ?
Gow can we find out equation of plane passing through 2 planes?
Asked by Vishal | 21 Nov, 2017, 10:50: PM
answered-by-expert Expert Answer
begin mathsize 16px style if space equation space of space plane space is ax plus by plus cz minus straight d equals 0 foot space of space prependicular space left parenthesis straight h comma straight k comma straight l right parenthesis space from space straight a space point space open parentheses straight x subscript 1 comma straight y subscript 1 comma straight z subscript 1 close parentheses space is space given space by fraction numerator straight h minus straight x subscript 1 over denominator straight a end fraction equals fraction numerator straight k minus straight y subscript 1 over denominator straight b end fraction equals fraction numerator straight l minus straight z subscript 1 over denominator straight c end fraction equals fraction numerator negative open parentheses ax subscript 1 plus by subscript 1 plus cz subscript 1 minus straight d close parentheses over denominator straight a squared plus straight b squared plus straight c squared end fraction image space of space straight a space point open parentheses straight x subscript 1 comma straight y subscript 1 comma straight z subscript 1 close parentheses space is space given space by fraction numerator straight h apostrophe minus straight x subscript 1 over denominator straight a end fraction equals fraction numerator straight k apostrophe minus straight y subscript 1 over denominator straight b end fraction equals fraction numerator straight l apostrophe minus straight z subscript 1 over denominator straight c end fraction equals fraction numerator negative 2 open parentheses ax subscript 1 plus by subscript 1 plus cz subscript 1 minus straight d close parentheses over denominator straight a squared plus straight b squared plus straight c squared end fraction where left parenthesis straight h apostrophe comma straight k apostrophe comma straight l apostrophe right parenthesis space is space the space image equation space of space plane space passing space through space 2 space planes space is space given space by space family space of space plane straight P subscript 1 plus λP subscript 2 equals 0 straight P subscript 1 space & space straight P subscript 2 space are space equation space of space planes end style
Answered by Arun | 29 Nov, 2017, 11:31: AM

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CBSE 12-science - Maths
question no 24
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Asked by shubh31122006 | 01 Feb, 2024, 09:06: AM
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CBSE 12-science - Maths
Two lines given- L₁: x+1/3 = y-3/-2 = z+2/-1 L₂: x/-1=y-7/3=z+7/-2 Find the point of intersection of the lines L₁ and L₂.
Asked by suman.sh01 | 07 Jun, 2022, 07:22: PM
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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, 01:09: PM
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CBSE 12-science - Maths
prove that vectors -2i -2j+4k , -2i+4j -2k , 4i -2j -2k are coplanar ?
Asked by harshgarg18012003 | 26 Jun, 2019, 09:11: PM
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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, 01:23: PM
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CBSE 12-science - Maths
Find the direction cosines of the vector .&
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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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, 01:23: PM
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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, 01:23: PM
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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, 01:23: PM
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CBSE 12-science - Maths
If a line makes angles  with OX, OY and OZ respectively. Prove that .
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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