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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

`sqrt2`

B

1

C

-1

D

`-sqrt2`

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MODERN PUBLICATION-EXCLUSIVELY FOR JEE(ADVANCED)-EXERCISE
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  2. Let vecx, vecy and vecz be three vectors, each of magnitude sqrt2 and ...

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  3. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

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  4. Let vecA be vector parallel to line of intersection of planes P1 and P...

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  7. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

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  13. Let veca,vecb and vecc be three non-coplanar unit vectors such that th...

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  14. The square of the shortest distance between the lines : vecr=s(hati-ha...

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  15. Write the set A={x:x is an integer,−1≤x≤4} in roster form.

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  16. If |veca|=3, |vecb|=1 and |veca+vecb|=|veca-vecb|, then |veca xx vecb|...

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  17. If |veca|=|vecb|=|vecc|=1 and veca*vecb=vecb*vecc=vecc*veca=1/2, then ...

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  18. Consider the lines : L1: (x-7)/3=(y-7)/2=(z-3)/1 and L2: (x-1)/2=(y+1)...

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