1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Direction: Consider the following for the items that follow:
Let S be the line of intersection of two planes x + y + z = 1 and 2x + 3y - 4z = 8.
If 〈l, m, n〉 are direction cosines of S, then what is the value. of 43 (I2 - m2 - n2)?
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Direction: Consider the following for the items that follow:
Let L : x + y + z + 4 = 0 = 2x - y - z + 8 be a line and P : x + 2y + 3z + 1 = 0 be a plane.
What are the direction ratios of the line?
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Direction: Consider the following for the items that follow:
Let L : x + y + z + 4 = 0 = 2x - y - z + 8 be a line and P : x + 2y + 3z + 1 = 0 be a plane.
What is the point of intersection of L and P?
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
If (1, −1, 2) and (2, 1, −1) are the end points of a diameter of a sphere $x^2 + y^2 + z^2 + 2ux + 2vy + 2wz − 1 = 0$, then what is $u + v + w$ equal to?
Questions Asked from Three Dimensional Geometry (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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