1
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

If a man running around a race-course notes that the sum of the distances of two flag-posts from him is always $$10 \mathrm{~m}$$ and the distance between the flag-posts is $$8 \mathrm{~m}$$, then the area of the path he encloses in square metres is

A
12$$\pi$$
B
13$$\pi$$
C
14$$\pi$$
D
15$$\pi$$
2
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

If a circle of constant radius '$$r$$' passes through the origin and meets the coordinate axes at points $$A$$ and $$B$$ respectively, then the locus of the centroid of triangle $$O A B$$, '$$O$$' being the origin, is

A
$$x^2+y^2=\frac{4}{9} r^2$$
B
$$x^2+y^2=\frac{9}{4} r^2$$
C
$$x^2+y^2=\frac{2}{3} r^2$$
D
$$x^2+y^2=\frac{3}{2} r^2$$
3
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

A ray of light is sent along the line $$x-2 y+5=0$$. Upon reaching the line $$3 x-2 y+7=0$$, the ray is reflected from it. The equation of the line containing the reflected ray, is

A
$$2 x-29 y+33=0$$
B
$$29 x-2 y+33=0$$
C
$$2 x+29 y-33=0$$
D
$$29 x+2 y-33=0$$
4
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

A unit vector perpendicular to both the vectors $$\hat{\mathbf{i}}+\hat{\mathbf{j}}$$ and $$\hat{\mathbf{j}}+\hat{\mathbf{k}}$$ is

A
$$\frac{-\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}}{\sqrt{3}}$$
B
$$\frac{\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}}{3}$$
C
$$\frac{\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}}{\sqrt{3}}$$
D
$$\frac{\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}}{\sqrt{3}}$$
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