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The locus represented by xy+yz=0 is a pa...

The locus represented by `xy+yz=0` is a pair of

A

perpendicular lines

B

parallel lines

C

parallel lines

D

perpendicular planes

Text Solution

Verified by Experts

The correct Answer is:
D
`xy+yz=0`
`therefore y(x+z)=0`
`therefore y=0 or x+z=0`
This is a pair of perpendicular planes.
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CENGAGE-EQUATION OF PLANE AND ITS APPLICATIONS -I -DPP 3.3
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  2. Show that the disease of the point of intersection of the line (x-2)/3...

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  4. Let P=-(1,7,sqrt(2)) be a point and line L is 2sqrt(2)(x-1)=y-2,z=0. I...

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  8. The Cartesian equation of the plane vecr=(1+lambda-mu)hati+(2-lambda...

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  10. Equation of line passing through A(1,0,3), intersecting the line (x/2=...

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  11. If P(alpha,beta,lambda) is a vertex of an equilateral triangle PQR whe...

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  13. Let veca=hati+hatj+hatk, vecb=-hati+hatj+hatk, vecc=hati-hatj+hatk and...

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  14. Consider the equation E(1):vecr xx (2hati-hatj+3hatk)=3hati+hatk an...

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