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CBSE Class 12-science Answered

A variable plane moves in such a way that the sum of the reciprocals of its intercepts on the three coordinate axes is constant. Show that the plane passes through a fixed point.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Answered by | 04 Jun, 2014, 03:23: PM

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CBSE 12-science - Maths
Distance between two parallel planes 2x+y+2z=9 and 4x+2y+4z+5=0    
Asked by kishanradha7392 | 05 Jul, 2022, 04:26: PM
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CBSE 12-science - Maths
The equation of the plane which makes the intercepts 2, 3, 4 with X-axis, Y-axis and Z-axis respectively.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Reduce the equation of the plane 3x + 4y – 6z = 6 to intercept form and find the intercepts made by the plane with the co-ordinate axes.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Write the equation of plane passing through the intersection of two given planes  and .
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
A plane which remains at a constant distance 3p from the origin cuts the co-ordinate axes at A, B and C. Show that the locus of the centroid of triangle ABC is x-2 +  y-2 + z-2 = p-2.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Find the equation of the plane passing through the line of intersection of the planes 3x – 5y + 4z + 11 = 0, 2x – 7y + 4z – 3 = 0 and the point (– 2, 1, 3).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Find the equation of the plane passing through the line of intersection of the planes  and the point .
Asked by Topperlearning User | 27 Feb, 2015, 03:56: PM
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CBSE 12-science - Maths
Find the equation of the plane passing through the line of intersection of the planes x + y + z = 6, 3x + 2y + 6z + 15 = 0 and perpendicular to the plane 4x + 5y – 3z = 8.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Find the equation of the plane through the intersection of the plane , and perpendicular to the plane .
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Show that the lines and are coplanar.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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