1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Let A(1, - 1, 0) B(- 2, 1, 8) and C(- 1, 2, 7) are three consecutive vertices of a parallelogram ABCD.
What is the fourth vertex D?
1
(0,-2,1)
2
(2,0,-1)
3
(1, 0, 1)
4
 (1,2,0)
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Let A(1, - 1, 0) B(- 2, 1, 8) and C(- 1, 2, 7) are three consecutive vertices of a parallelogram ABCD.
If angle BCD is $\theta $ then what is $ cos^2 \theta$ equal to?
1
 26/77
2
27/77
3
82/237
4
83 / (237)
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For different values of m, the equation 4y=mx-m+ 2 represents
1
 parallel lines
2
concurrent lines
3
 lines at a fixed distance from the origin of coordinates
4
 the same line
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
The equation of the locus of a point equidistant from the points (a, b) and (c, d) is (a - c)  x + (b - d)  y + k = 0 What is the value of k?
1
$a^2 - c^2 + b^2 - d^2$
2
$c^2 + d^2 - a^2 - b^2$
3
$(a^2 - c^2 + b^2 - d^2) / 2$
4
$(c^2 + d^2 - a^2 - b^2) / 2$