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Find the point on x-axis which is equidi...

Find the point on x-axis which is equidistant from the points `A(3,2,2)a n d B(5,5,4)dot`

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To find the point on the x-axis that is equidistant from the points A(3, 2, 2) and B(5, 5, 4), we can follow these steps: ### Step 1: Define the point on the x-axis Let the point on the x-axis be \( C(\lambda, 0, 0) \), where \( \lambda \) is the x-coordinate we need to find. ### Step 2: Use the distance formula The distance between two points \( (x_1, y_1, z_1) \) and \( (x_2, y_2, z_2) \) in 3D space is given by: \[ ...
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RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
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  2. Find the point on y-axis which is at a distance of sqrt(10) units from...

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  3. Find the point on x-axis which is equidistant from the points A(3,2,2)...

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  4. Find the coordinates of a point equidistant from the origin and pints ...

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  5. Write the coordinates of the point P which is five sixth of the way fr...

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  6. If a parallelepiped is formed by the planes drawn through the points ...

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  7. Determine the point on yz-plane which is equidistant from points A(2,0...

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  8. If the origin is the centroid of a triangle ABC having vertices A(a ,1...

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  9. The ratio in which the line joining (2,4,5) and (3,5,-9) is divided by...

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  10. The ratio in which the line joining the points (a , b , c)a n d\ (-a ,...

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  11. If P(0,1,2),\ Q(4,-2,1)a n d\ O(0,0,0) are three points then angle P ...

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  12. If the extremities of the diagonal fo a square are (1,-2,3) and (2,...

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  13. The points (5,-4,2), (4,-3,1), (7,6,4) and (8,-7,5) are the vertices o...

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  14. In a three dimensional space the equation x^2-5x+6=0 represents a. poi...

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  15. Let (3,4,-1) and (-1,2,3) be the end points of  diameter of a sphere. ...

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  16. XOZ-plane divides the join of (2,3,1) and (6,7,1) in the ratio a. 3:7...

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  17. What is the locus of a point for which y=0,\z =0? a. x-axis b. y-ax...

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  18. The coordinates of the foot of the perpendicular drawn from the point ...

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  19. The perpendicular distance of the point P(6,7,8) from xy-plane is a. 8...

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  20. The length of the perpendicular drawn from the point P(3,4,5) on y-axi...

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