1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Two points $P$ and $Q$ lie on line $y = 2x + 3$. These two points $P$ and $Q$ are at a distance 2 units from another point $R(1, 5)$. What are the coordinates of the points $P$ and $Q$?

A

$(1 + \frac{2}{\sqrt{5}}, 5 + \frac{4}{\sqrt{5}}), (1 - \frac{2}{\sqrt{5}}, 5 - \frac{4}{\sqrt{5}})$

B

$(3 + \frac{2}{\sqrt{5}}, 5 + \frac{4}{\sqrt{5}}), (-1 - \frac{2}{\sqrt{5}}, 5 - \frac{4}{\sqrt{5}})$

C

$(1 - \frac{2}{\sqrt{5}}, 5 + \frac{4}{\sqrt{5}}), (1 + \frac{2}{\sqrt{5}}, 5 - \frac{4}{\sqrt{5}})$

D

$(3 - \frac{2}{\sqrt{5}}, 5 + \frac{4}{\sqrt{5}}), (-1 + \frac{2}{\sqrt{5}}, 5 - \frac{4}{\sqrt{5}})$

2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If two sides of a square lie on the lines $2x + y - 3 = 0$ and $4x + 2y + 5 = 0$, then what is the area of the square in square units?

A

6.05

B

6.15

C

6.25

D

6.35

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

ABC is a triangle with A(3, 5). The mid-points of sides AB, AC are at (-1, 2), (6, 4) respectively. What are the coordinates of centroid of the triangle ABC?

A

$\left(\frac{8}{3}, \frac{11}{3}\right)$

B

$\left(\frac{7}{3}, \frac{7}{3}\right)$

C

$\left(2, \frac{8}{3}\right)$

D

$\left(\frac{8}{3}, 2\right)$

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

ABC is an acute angled isosceles triangle. Two equal sides AB and AC lie on the lines 7x - y - 3 = 0 and x + y - 5 = 0. If θ is one of the equal angles, then what is cotθ equal to?

A

$\frac{1}{3}$

B

$\frac{1}{2}$

C

$\frac{2}{3}$

D

2

EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12