CBSE Class 12 Math 2020 Outside Delhi Set 3 Solved Paper

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Question : 3
Total: 11
The line ‌
x−2
3
=‌
y−3
4
=‌
z−4
5
is parallel to the plane
Explanation for the correct option:
Given: line ‌
x−2
3
=‌
y−3
4
=‌
z−4
5

let ‌
x−2
3
=‌
y−3
4
=‌
z−4
5
=λ

3
^
i
+4
^
j
+5
^
k
=
→
a
will be perpendicular to normal vector of a plane.
Checking option D
So,
=3(2)+4(1)+5(−2)
=6+4−10
=0
Hence, 2x+y−2z=0 is parallel to ‌
x−2
3
=‌
y−3
4
=‌
z−4
5
.
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