JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 17 March 2021, Shift 2, Maths Q63

Question 63 of 90 in this shift, Maths question 3 of 30, Section A.

Let O be the origin. Let

\overrightarrow{OP}=x\hat{i}+y\hat{j}-\hat{k}

and

\overrightarrow{OQ}=-\hat{i}+2\hat{j}+3x\hat{k}

x, y\in\mathbf{R}

x>0

, be such that

\left|\overrightarrow{PQ}\right|=\sqrt{20}

and the vector

\overrightarrow{OP}

is perpendicular to

\overrightarrow{OQ}

. If

\overrightarrow{OR}=3\hat{i}+z\hat{j}-7\hat{k}

z\in\mathbf{R}

, is coplanar with

\overrightarrow{OP}

and

\overrightarrow{OQ}

, then the value of

x^2+y^2+z^2

is equal to :

Official answer

Option 4

NTA final key.

Same idea in other shifts