Ask a Doubt
Request a call back

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

CBSE Class 12-science Answered

6th sum plz
question image
Asked by lovemaan5500 | 20 Jan, 2020, 09:29: PM
answered-by-expert Expert Answer
To find the equations of the two planes passing through the points (0,4,-3) and (6,-4,3), if the sum of their intercepts on the three axes is zero.
 
L e t space t h e space e q u a t i o n space o f space t h e space p l a n e space b e x over a plus y over b plus z over c equals 1 space... space left parenthesis i right parenthesis A s space t h e space left parenthesis 0 comma 4 comma negative 3 right parenthesis space a n d space left parenthesis 6 comma negative 4 comma 3 right parenthesis space l i e space o n space i t comma space t h e y space s a t i s f y space left parenthesis i right parenthesis rightwards double arrow 4 over b minus 3 over c equals 1 space... space left parenthesis i i right parenthesis space a n d space space 6 over a minus 4 over b plus 3 over c equals 1 space... space left parenthesis i i i right parenthesis rightwards double arrow 6 over a minus open parentheses 4 over b minus 3 over c close parentheses equals 1 space space space... space U sin g space left parenthesis i i right parenthesis space i n space left parenthesis i i i right parenthesis 0 rightwards double arrow 6 over a equals 2 rightwards double arrow a equals 3 A l s o comma space a plus b plus c equals 0 rightwards double arrow 3 plus b plus c equals 0 rightwards double arrow 3 plus fraction numerator 4 c over denominator c plus 3 end fraction plus c equals 0 space... space U sin g space left parenthesis i i right parenthesis rightwards double arrow c squared plus 10 c plus 9 equals 0 rightwards double arrow open parentheses c plus 9 close parentheses open parentheses c plus 1 close parentheses equals 0 rightwards double arrow c equals negative 9 space space space o r space space space c equals negative 1 rightwards double arrow b equals 6 space space space o r space space space b equals negative 2 H e n c e comma space t h e space e q u a t i o n s space o f space t h e space p l a n e s space a r e x over 3 plus y over 6 plus fraction numerator z over denominator negative 9 end fraction equals 1 space space space o r space space space x over 3 plus fraction numerator y over denominator negative 2 end fraction plus fraction numerator z over denominator negative 1 end fraction equals 1
Answered by Renu Varma | 21 Jan, 2020, 12:02: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
Q 48
question image
Asked by lekhakarthikeyan | 16 Jul, 2018, 03:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If  is the normal from the origin to the plane, and  is the unit vector along . P(x, y, z) be any point on the plane and  is perpendicular to . Find the equation of plane in the normal form.
Asked by Topperlearning User | 26 Feb, 2015, 10:10: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Let  be the vector normal to the plane and  be the position vector of the point through which the plane passes. Then find the equation of plane.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the equation of the plane, which is at a distance of 5 unit from the origin and has as a normal vector.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the equation of the plane whose distance from the origin is 8 units and the direction ratios of the normal are 6, – 3, – 2.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the equation of the plane is . Find the perpendicular distance of the plane from the origin.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Write the normal and Cartesian form of the plane .
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the equation of the plane passing through the points (–1, 4, – 3), (3, 2, – 5) and (– 3, 8, – 5).
Asked by Topperlearning User | 26 Feb, 2015, 10:50: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the equation of the plane passing through the point (3, – 3, 1) and perpendicular to the line joining the points (3, 4, – 1) and (2, – 1, 5).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 2x – 3y + 6z + 7 = 0.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×