The diagonals of a quadrilateral ABCD are along the lines x - 2y = 1 and 4x + 2y = 3. The quadrilateral ABCD may be a 

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
View all NDA Papers >
  1. rectangle 
  2. cyclic quadrilateral 
  3. parallelogram 
  4. rhombus 

Answer (Detailed Solution Below)

Option 4 : rhombus 
Free
NDA 01/2025: English Subject Test
5.3 K Users
30 Questions 120 Marks 30 Mins

Detailed Solution

Download Solution PDF

Explanation:

Slope of diagonal along the line x – 2y = 1

⇒m1 = 1/2

Slope of the diagonal along the line 4x + 2y = 3

m2 = -2

Now,  m1m2 = \(\frac{1}{2}(-2) = -1\)

Then, Diagonals are perpendicular. 

∴ The quadrilateral ABCD is a rhombus.

Latest NDA Updates

Last updated on May 30, 2025

->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.

-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.

->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.

-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.

-> The selection process for the NDA exam includes a Written Exam and SSB Interview.

-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100. 

-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential. 

More Lines Questions

Get Free Access Now
Hot Links: teen patti download apk teen patti king teen patti dhani teen patti vip