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Find the equation of the plane with int...

Find the equation of the plane with intercepts 2, 3 and 4 on the x, y and z-axis respectively.

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To find the equation of the plane with intercepts 2, 3, and 4 on the x, y, and z-axis respectively, we can use the formula for the equation of a plane in intercept form. ### Step-by-Step Solution: 1. **Understand the Intercept Form of a Plane:** The equation of a plane with intercepts \(a\), \(b\), and \(c\) on the x, y, and z axes is given by: \[ \frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1 ...
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NCERT ENGLISH-THREE DIMENSIONAL GEOMETRY-SOLVED EXAMPLES
  1. Find the direction cosines of the line passing through the two points...

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  2. If a line has direction ratios 2,1,2.determine its direction cosines.

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  3. If a line makes angle 90^@, 60^@and 30^@with the positive direction ...

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  4. Find the angle between the pair of lines given by vecr=3 hat i+2 ha...

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  5. The Cartesian equation of a line is (x+3)/2=(y-5)/4=(z+6)/2. Find th...

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  6. Show that the lines (x+3)/(-3)=(y-1)/1=(z-5)/5and (x+1)/(-1)=(y-2)/2=(...

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  7. Find the vector equation of the plane passing through the intersectio...

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  8. Find the angle between the two planes 3x - 6y + 2z = 7and 2x + 2y-2z ...

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  9. Find the angle between the two planes 2x + y-2z = 5and 3x- 6y-2z = 7...

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  10. Find the distance of a point (2, 5, 3)from the plane vecr.(6 hat i-...

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  11. Find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4and (x...

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  12. Find the shortest distance between the lines l1 and l2 whose vector ...

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  13. Find the distance between the lines l1and l2given by vec r= hat i+2 ...

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  14. Find the vector equation of the plane which is at a distance of 6/(sqr...

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  15. Find the direction cosines of the unit vector perpendicular to the pla...

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  16. Find the distance of the plane 2x - 3y + 4z - 6 = 0 from the origin.

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  17. Find the coordinates of the foot of the perpendicular drawn from the ...

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  18. Find the vector and cartesian equations of the plane which passes thr...

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  19. Find the vector equations of the plane passing through the points R(2...

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  20. Find the equation of the plane with intercepts 2, 3 and 4 on the x, y...

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