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In a three-dimensional x y z space , the...

In a three-dimensional `x y z` space , the equation `x^2-5x+6=0` represents a. Points b. planes c. curves d. pair of straight lines

A

points

B

planes

C

curves

D

pair of straight lines

Text Solution

Verified by Experts

The correct Answer is:
b
`x^(2)-5x+6=0`
`impliesx-2=0,x-3=0`
which represents planes.
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CENGAGE-THREE-DIMENSIONAL GEOMETRY -Exercise (Single)
  1. In a three-dimensional x y z space , the equation x^2-5x+6=0 represent...

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  2. The line (x-2)/3=(y+1)/2=(z-1)/1 intersects the curve x y=c^(I2),z=0 i...

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  3. Let the equations of a line and plane be (x+3)/2=(y-4)/3=(z+5)/2a n...

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  4. The length of the perpendicular from the origin to the plane passing t...

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  5. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

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  6. The Cartesian equation of the plane vecr=(1+lamda-mu)hati+(2-lamda)hat...

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  7. A unit vector parallel to the intersection of the planes vecr.(hati-ha...

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  8. Let L(1) be the line vecr(1)=2hati+hatj-hatk+lamda(hati+2hatk) and let...

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  9. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is...

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  10. Find the value of m for which thestraight line 3x-2y+z+3=0=4x=3y+4z+1 ...

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  11. The intercept made by the plane vec rdot vec n=q on the x-axis is ...

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  12. Equation of a line in the plane pi-=2x-y+z-4=0 which is perpendicula...

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  13. If the foot of the perpendicular from the origin to plane is P(a ,b...

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  14. The equation of the plane which passes through the point of interse...

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  15. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

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  16. Let A(1,1,1),B(23,5)a n dC(-1,0,2) be three points, then equation of a...

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  17. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

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

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  19. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

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  20. The length of projection of the line segment joining the points (1,0...

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