1
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
2
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
3
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
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the length of projection of the vector $\rm \hat{i}+2 \hat{j}+3 \hat{k}$ on the vector $\rm2 \hat{i}+3 \hat{j}-2 \hat{k}$ ?
A
$\frac{1}{\sqrt{17}}$
B
$\frac{2}{\sqrt{17}}$
C
$\frac{3}{\sqrt{17}}$
D
$\frac{2}{\sqrt{14}}$
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