# Mathematics Questions for NDA :22nd August

Dear Students, Defence Adda is providing you all with this quiz on Mathematics questions for NDA, CDS, AFCAT, CAPF and other Police Examinations. The questions asked in Mathematics Section of most of the defence examinations are based on the topics from Mathematics of Class 11th and 12th. The questions asked in this section are complex and comparatively difficult but once attempted with high accuracy, can fetch you full marks in this section. Also, practice on a daily basis helps one dive into the core concepts of a subject and thus, help her perform to the best of her ability in the real examinations. So, attempt the daily quizzes being provided by Defence Adda and score to the maximum in Mathematics Section of all sorts of defence examinations.

**Q1. The points (a, b), (0, 0), (–a, –b) and (ab, b²) are**

(a) the vertices of a parallelogram

(b) the vertices of a rectangle

(c) the vertices of a square

(d) Collinear

**Q2. The length of the normal from origin to the plane x + 2y – 2z = 9 is equal to**

(a) 2 units

(b) 3 units

(c) 4 units

(d) 5 units

**Q4. The angle between the lines x + y – 3 = 0 and x – y + 3 = 0 is Î± and the acute angle between the lines x – √3 y+2√3=0 and √3 x-y+1=0 is Î². Which one of the following is correct?**

(a) Î±=Î²

(b) Î±>Î²

(c) Î± < Î²

(d) Î±=2Î²

**Q9. A man running round a racecourse notes that the sum of the distances of two flag-posts from him is always 10 m and the distance between the flag-posts is 8 m. The area of the path he encloses is**

(a) 18Ï€ square metres

(b) 15Ï€ square metres

(c) 12Ï€ square metres

(d) 8Ï€ square metres

**SOLUTIONS**

**S1. Ans.(d)**

Sol. All given point lie on the line having equation ay = bx.

∴ All point are collinear

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