1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Given that 16p2 + 49q2 - 4r2 - 56pq = 0. Which one of the following is a point on a pair of straight lines (px + qy + r) (px + qy - r) = 0?
A
$ \left(2, \frac{7}{2}\right) $
B
$ \left(2,-\frac{7}{2}\right)$
C
(4, -7)
D
(4, 7)
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
For what values of k is the line (k - 3)x - (5 - k2) y + k- 7k + 6 = 0 parallel to the line x + y = 1?
A
-1, 1
B
-1, 2
C
1, -2
D
2, -2
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The line x + y = 4 cuts the line joining P(-1, 1) and Q(5, 7) at R. What is PR ∶ RQ equal to ?
A
1 ∶ 1
B
1 ∶ 2
C
2 ∶ 1
D
1 ∶ 3
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the sum of the intercepts of the line whose perpendicular distance from origin is 4 units and the angle which the normal makes with positive direction of x-axis is 15°?
A
8
B
4√6
C
8√6
D
16
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