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In a three-dimensional xyz space, the eq...

In a three-dimensional xyz space, the equation `x^(2)-5x+6=0` represents

A

two points

B

two parallel planes

C

two parallel lines

D

a pair of non -parallel lines

Text Solution

Verified by Experts

The correct Answer is:
B
We have
`x^(2)-5x+6=0implies(x-2)(x-3)=0impliesx=2,x=3`
Clearly these two equations represent two parallel planes parallel to YOZ plane.
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OBJECTIVE RD SHARMA ENGLISH-PLANE AND STRAIGHT LINE IN SPACE -Section I - Solved Mcqs
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  2. The locus of a point P(x,y,z) which moves in such away that x=aand y=b...

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  3. In a three-dimensional xyz space, the equation x^(2)-5x+6=0 represents

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  4. If the equation of a plane is lx + my + nz = p which is in the normal ...

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  5. The equation ax+by +c=0 represents a plane perpendicular to the

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  7. If a plane meets the coordinates axes at A, Band C, in such a way that...

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  8. The equation 12x^2-2y^2-6z^2-2xy-8xy+6xz=0 represents

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  9. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

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

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  11. A non-zero vectors a is parallel to the line of intersection of the pl...

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  12. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

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  13. Equations of the line passing through (1,1,1) and perpendicular to th...

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  14. Find the line of intersection of the planes vecr.(3hati-hatj+hatk)=1 a...

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  15. Given the line L: (x-1)/(3) = (y+1)/(2) = (z +3)/(1) and the plane pi...

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  16. The equation of the plane containing the line vecr = hati + hatj + lam...

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  17. The ratio in which the plane vecr.(veci-2 vecj+3veck)=17 divides the l...

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  18. The sine of the angle between the line (x-2)/(3) = (y-3)/(4) = (z-4)/(...

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  19. If the plane x/2+y/3+z/6=1 cuts the axes of coordinates at points, A ,...

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  20. Let the pairs veca, vecb and vecc vecd each determine a plane. Then th...

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