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From a point P(lambda, lambda, lambda), ...

From a point `P(lambda, lambda, lambda)`, perpendicular PQ and PR are drawn respectively on the lines `y=x, z=1 and y=-x, z=-1`. If P is such tthat `angleQPR` is a right angle , then the possible value(s) of `lambda` is (are)

A

(a)`sqrt(2)`

B

(b)`1`

C

(c)`-1`

D

(d)`-sqrt(2)`

Text Solution

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The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
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  6. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

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  7. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (x+1)/(5)=(y+1)/...

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  13. Consider the planes 3x-6y-2z=15 and 2x+y-2z=5. find the angle between...

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  14. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

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  15. The distance of the point (1, 3, -7) from the plane passing through th...

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  16. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

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  17. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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  18. The disatance of the point (1, 0, 2) from the point of intersection of...

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