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If the x-coordinate of a point P on th...

If the x-coordinate of a point `P` on the join of `Q(2,2,1)a n dR(5,1,-2)i s4,` then find its `z-` coordinate.

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To solve the problem step by step, we can follow these instructions: ### Step 1: Identify the coordinates of points Q and R The coordinates of point Q are \( Q(2, 2, 1) \) and the coordinates of point R are \( R(5, 1, -2) \). ### Step 2: Find the direction ratios of the line QR The direction ratios can be calculated as follows: - For x-coordinate: \( 5 - 2 = 3 \) ...
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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
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  2. Find the equations of the bisectors of the angles between the plane...

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  3. If the x-coordinate of a point P on the join of Q(2,2,1)a n dR(5,1,-...

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  5. A variable plane passes through a fixed point (a ,b ,c) and cuts th...

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  6. Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+...

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  7. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

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  8. If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...

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  9. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

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  10. Find the distance of the point P(a ,b ,c) from the x-axis.

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  12. If a line makes angles alpha,betaa n dgamma with threew-dimensional ...

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  13. Find the distance between the parallel planes x+2y-2z+1=0a n d2x+4y...

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  14. A ray of light passing through the point A(1,2,3) , strikews the pl...

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  15. The plane a x+b y=0 is rotated through an angle alpha about its line...

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  18. Find the length and the foot of the perpendicular from the point (7...

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  20. Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(...

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