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# The four points (0, 4, 3) , (-1, -5, -3) , (-2, -2, 1) and (1, 1, -1) lie in the plane

- 4x + 3y + 2z – 9 = 0
- 9x – 5y + 6z + 2 = 0
- 3x + 4y + 7z – 5 = 0
- None

## The correct answer is: 9x – 5y + 6z + 2 = 0

### Related Questions to study

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### The equation of a plane and condition of two planes being parallel or perpendicular.

A) Every equation of first degree in x, y, z, i. e., Ax + By + Cz + D = 0 represents a plane. The coefficients of x, y, z are the direction ratios of the normal to the plane.

B) Angle between two planes is equal to the angle between the normals to the planes.

\ cos q =

Planes are perpendicular if å A_{1} A_{2} = 0 and parallel if

C) Planes parallel to co – ordinate planes are x = l, y = l or z = l.

Planes perpendicular to co – ordinate planes x = 0, y = 0, z = 0 are

by + cz + d = 0 (x missing), ax + cz + d = 0

(y missing), ax + by + d = 0 (z missing) Find the equation of the plane through the intersection of the planes x + 2y + 3z – 4 = 0 and 2x + y – z + 5 = 0 and perpendicular to the plane 5x + 3y + 6z + 8 = 0 is

### The equation of a plane and condition of two planes being parallel or perpendicular.

A) Every equation of first degree in x, y, z, i. e., Ax + By + Cz + D = 0 represents a plane. The coefficients of x, y, z are the direction ratios of the normal to the plane.

B) Angle between two planes is equal to the angle between the normals to the planes.

\ cos q =

Planes are perpendicular if å A_{1} A_{2} = 0 and parallel if

C) Planes parallel to co – ordinate planes are x = l, y = l or z = l.

Planes perpendicular to co – ordinate planes x = 0, y = 0, z = 0 are

by + cz + d = 0 (x missing), ax + cz + d = 0

(y missing), ax + by + d = 0 (z missing) Find the equation of the plane through the intersection of the planes x + 2y + 3z – 4 = 0 and 2x + y – z + 5 = 0 and perpendicular to the plane 5x + 3y + 6z + 8 = 0 is

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### The direction cosines of the line joining the points (4, 3, - 5) and (-2, 1, -8) are

For such questions, we should know formula to find direction cosines.

### The direction cosines of the line joining the points (4, 3, - 5) and (-2, 1, -8) are

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For such questions, we should know formula to find direction cosines.

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### The locus of x^{2} + y^{2} + z^{2} = 0 is

For such questions, we have to be careful about points satisfying the equation.

### The locus of x^{2} + y^{2} + z^{2} = 0 is

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### Let f (x) be a quadratic expression which is positive for all real x. If g(x) = f (x) + f ¢ (x) + f ¢¢ (x), then for any real x

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### =

### =

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For such questions, we should know different the condition of limit to exist.

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### then sinx =

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### If then x=

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### If 2 = x then x =

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