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Find the equation of the plane through t...

Find the equation of the plane through the points (2, 1, 1) and (1, 3, 4) and perpendicular to the plane `x+2y+4z=10.`

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The correct Answer is:
`18x + 17 y + 4x =49`
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE ADVANCED (ARCHIVE)
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  2. Let P be the image of the point (3, 1, 7) with respect to the plane x...

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  3. The equation of the plane passing through the point (1,1,1) and perpen...

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  4. A line with positive direction cosines passes through the point P(2, -...

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  5. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

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  6. A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z = 4 ...

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  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

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  9. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

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  10. The disatance of the point (1, 0, 2) from the point of intersection of...

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  11. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

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  12. The equation of a plane passing through the line of intersection of th...

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  14. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

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  15. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

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  16. Consider three planes P(1):x-y+z=1, P(2):x+y-z=-1 and P(3):x-3y+3z=2...

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  17. Consider the planes 3x-6y-2z=15 and 2x+y-2z=5. Statement 1:The parame...

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  18. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

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  19. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

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  20. A line l passing through the origin is perpendicular to the lines l(...

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  21. In R(3) , consider the planes P(1):y=0and P(2) : x+z=1. Let P(3) ...

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