Test Index

CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper

© examsnet.com
Question : 30 of 38
Marks: +1, -0
(a) Find the coordinates of the foot of the perpendicular drawn from the point P(0,2,3)P(0,2,3) to the line   x+35=  y−12=  z+43\;\frac{x+3}{5}=\;\frac{y-1}{2}=\;\frac{z+4}{3}.
OR
(b) Three vectors a→,b→\overset{\rightarrow}{a}, \overset{\rightarrow}{b} and c→\overset{\rightarrow}{c} satisfy the condition a→+b→+c→=0→\overset{\rightarrow}{a}+\overset{\rightarrow}{b}+\overset{\rightarrow}{c}=\overset{\rightarrow}{0} Evaluate the quantity μ=a→⋅b→+b→⋅c→+c→⋅a→\mu=\overset{\rightarrow}{a}\cdot \overset{\rightarrow}{b}+\overset{\rightarrow}{b}\cdot \overset{\rightarrow}{c}+\overset{\rightarrow}{c}\cdot \overset{\rightarrow}{a}, if ∣a→∣=3\left|\overset{\rightarrow}{a}\right|=3, ∣b⃗∣=4|\vec{b}|=4 and ∣c⃗∣=2|\vec{c}|=2
© examsnet.com
Go to Question: