1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
A plane cuts intercepts 2, 2, 1 on the coordinate axes. What are the direction cosines of the normal to the plane?
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements :
1. The direction ratios of y-axis can be <0, 4, 0>
2. The direction ratios of a line perpendicular to z-axis can be <5, 6, 0>
Which of the statements given above is/are correct?
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next three (03) items that follow
The Plane 6x + ky + 3z - 12 = 0 where k ≠ 0 meets the coordinate axes at A, B and C respectively. The equation of the sphere passing through the origin and A, B, C is x2 + y2 + z2 - 2x - 3y - 4z = 0.
What is the value of k?
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next three (03) items that follow
The Plane 6x + ky + 3z - 12 = 0 where k ≠ 0 meets the coordinate axes at A, B and C respectively. The equation of the sphere passing through the origin and A, B, C is x2 + y2 + z2 - 2x - 3y - 4z = 0.
If p is the perpendicular distance from the centre of the sphere to the plane, then which one of the following is correct ?
Questions Asked from Three Dimensional Geometry (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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